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Call number: | 9789811031809:ONLINE Show nearby items on shelf |
Title: | Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities |
Author(s): |
Marat Akhmet |
Date: | 2017 |
Size: | 1 online resource (XI, 166 p. 31 illus., 26 illus. in color p.) |
Contents: | Introduction -- Hopf Bifurcation in Impulsive Systems -- Hopf Bifurcation in Fillopov Systems -- Nonautonomous Transcritical and Pitchfork Bifurcations in an Impulsive Bernoulli Equations -- Nonautonomous Transcritical and Pitchfork |
Bifurcations in Scalar Non-solvable Impulsive Differential Equations -- Nonautonomous Transcritical and Pitchfork Bifurcations in Bernoulli Equations with Piecewise Constant Argument of Generalized Type | |
ISBN: | 9789811031809 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Difference equations , Functional equations , Dynamics , Ergodic theory , Differential equations , Control engineering , Mathematics , Dynamical Systems and Ergodic Theory , Control , Applications of Nonlinear Dynamics and Chaos Theory , Difference and Functional Equations , Ordinary Differential Equations |
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Call number: | 9789402410204:ONLINE Show nearby items on shelf |
Title: | Complex Dynamics and Morphogenesis An Introduction to Nonlinear Science |
Author(s): |
Chaouqi Misbah |
Date: | 2017 |
Size: | 1 online resource (XIX, 463 p. 179 illus p.) |
Contents: | 1. Presentation of Main Ideas -- 2. Basic Introduction to Bifurcations in 1-D -- 3. The Other Generic Bifurcations -- 4. Classification of the 7 Elementary Catastrophes -- 5. Hopf Bifurcation -- 6. Amplitude Equation for the Hopf |
Bifurcation -- 7. Parametric Instabilities and Other Nonlinear Behaviors -- 8. Introduction to Chaos -- 9. Pattern Formation in One Dimension -- 10. Universality in the Vicinity of the Threshold -- 11. Fronts between Domains -- 12. | |
Order and Disorder both Spatial and Temporal -- 13. Two Dimensional Patterns -- 14. Wavelength Selection -- 15. Conclusion -- 16. Solutions to Exercises -- Bibliography. | |
ISBN: | 9789402410204 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , System theory , Physics , Applications of Nonlinear Dynamics and Chaos Theory , Mathematical Methods in Physics , Complex Systems , Biological and Medical Physics, Biophysics |
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Call number: | 9783319465746:ONLINE Show nearby items on shelf |
Title: | Optimal Trajectory Tracking of Nonlinear Dynamical Systems |
Author(s): |
Jakob Löber |
Date: | 2017 |
Size: | 1 online resource (XIV, 243 p. 36 illus., 32 illus. in color p.) |
Contents: | Introduction -- Exactly Realizable Trajectories -- Optimal Control -- Analytical Approximations for Optimal Trajectory Tracking -- Control of Reaction-Diﬀusion System |
ISBN: | 9783319465746 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Dynamics , Ergodic theory , Calculus of variations , Vibration , Dynamical systems , Physics , Applications of Nonlinear Dynamics and Chaos Theory , Calculus of Variations and Optimal Control Optimization , Vibration, Dynamical Systems, Control , Dynamical Systems and Ergodic Theory |
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Call number: | 9783319456126:ONLINE Show nearby items on shelf |
Title: | Avalanches in Functional Materials and Geophysics |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (XVII, 298 p. 171 illus., 80 illus. in color p.) |
Contents: | Statistical mechanics perspective on earthquakes -- Mean-field approach to avalanches -- From labquakes in porous materials to earthquakes -- Rocks and earthquakes -- Modeling avalanches in martensites -- Experiments on pinning in |
ferroelastics -- Numerical simulation of avalanches in ferroelastics -- Microstructural length scales and crackling noise -- Avalanches in fracture -- Avalanches in metallic glasses -- Shear banding in amorphous solids -- Yield and | |
irreversibility in amorphous solids -- Characterization of granular, porous and cellular materials -- Avalanches in fluid imbibition | |
ISBN: | 9783319456126 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Geophysics , Condensed matter , Structural materials , Physics , Applications of Nonlinear Dynamics and Chaos Theory , Geophysics/Geodesy , Structural Materials , Condensed Matter Physics , Geophysics and Environmental Physics |
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Call number: | 9783319443973:ONLINE Show nearby items on shelf |
Title: | Quantum-Enhanced Nonlinear Spectroscopy |
Author(s): |
Frank Schlawin |
Date: | 2017 |
Size: | 1 online resource (XIV, 259 p. 95 illus., 14 illus. in color p.) |
Contents: | Introduction -- Background -- Nonlinear Optical Signals -- Excited State Distributions and Fluorescence Signals -- Pump-Probe Measurements with Entangled Photons -- Interferometric Setups -- Frequency Conversion -- Trapped Ion |
Spectroscopy -- Conclusions and Outlook | |
ISBN: | 9783319443973 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Quantum physics , Quantum optics , Spectroscopy , Microscopy , Physics , Quantum Optics , Spectroscopy and Microscopy , Applications of Nonlinear Dynamics and Chaos Theory , Quantum Physics |
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Call number: | 9783319435220:ONLINE Show nearby items on shelf |
Title: | The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy |
Author(s): |
Ivan I Shevchenko |
Date: | 2017 |
Size: | 1 online resource (XI, 194 p. 39 illus., 8 illus. in color p.) |
Contents: | Preface -- Historical Background -- Secular Theories in Celestial Mechanics -- LKE: Classical Results -- LKE: The Theory Advances -- Understanding Irregular Satellites -- Sungrazing Comets -- Asteroids and Kuiper Belt Objects in |
Inclined Orbits -- The Role in Sculpting Exoplanetary Systems -- Applications in Stellar Dynamics -- References | |
ISBN: | 9783319435220 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Planetology , Dynamics , Ergodic theory , Astrophysics , Physics , Astrophysics and Astroparticles , Dynamical Systems and Ergodic Theory , Applications of Nonlinear Dynamics and Chaos Theory , Planetology , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astron |
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Call number: | SPRINGER-2016-9783662484104:ONLINE Show nearby items on shelf |
Title: | Chaos Detection and Predictability |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (44 p.) |
Note: | 10.1007/978-3-662-48410-4 |
Contents: | Estimating Lyapunov exponents from time series -- Theory and applications of the fast Lyapunov Indicator (FLI) method -- Theory and applications of the Orthogonal Fast Lyapunov Indicator (OFLI and OFLI2) methods -- Theory and |
applications of the Mean Exponential Growth factor of Nearby Orbits (MEGNO) method -- The Smaller (SALI) and the Generalized (GALI) Alignment Indices: Efficient Methods of Chaos Detection -- The Relative Lyapunov Indicators: Theory and | |
Application to Dynamical Astronomy -- The 0-1 Test for Chaos: A review | |
ISBN: | 9783662484104 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 915 |
Keywords: | Physics , Physical geography , Mathematical physics , Space sciences , Statistical physics , Physics , Nonlinear Dynamics , Mathematical Methods in Physics , Mathematical Applications in the Physical Sciences , Extraterrestrial Physics, Space Sciences , Earth System Sciences |
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Call number: | SPRINGER-2014-9789400770942:ONLINE Show nearby items on shelf |
Title: | Nonlinear Dynamics and Chaotic Phenomena: An Introduction [electronic resource] |
Author(s): |
Bhimsen K Shivamoggi |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | This book starts with a discussion of nonlinear ordinary differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics --integrable systems, Poin car maps, chaos, fractals and strange attractors. The Bakers transformation, the logistic map and Lorenz system are discussed in detail in view of their central place in the subject. There is a detaileddiscussion of solitons centered around the Korteweg-d eVries equation in view of its central place in integrable systems. Then, there is a discussion of the Painlev property of nonlinear differential equations which seems to provide atest of integrability. Finally, there is a detailed discussion of the appli cation of fractals and multi-fractals to fully-developed turbulence -- a problem whose understanding has been considerably enriched by the application of theconcepts and methods of modern nonlinear dynamics. On the application side, there is a special emp hasis on some aspects of fluid dynamics and plasma physics reflecting the authors involvement in these areas of physics. A fewexercises have been provided that range from simple applications to occasional considerable extension of the theory. This book ha s grown out of the authors lecture notes for an interdisciplinary graduate-level course on nonlineardynamics. The basic concepts, language and results of nonlinear dynamical systems are described in a clear and coherent way. In order to allow for an inter disciplinary readership, an informal style has been adopted and the mathematicalformalism has been kept to a minimum. This book is addressed to first-year graduate students in applied mathematics, physics, and engineering, and is useful also to any theore tically inclined researcher in the physical sciences andengineering. This second edition constitutes an extensive rewrite of the text involving refinement and enhancement of the clarity a |
Contents: | 1 Nonlinear Ordinary Differential Equations |
1.1 First | |
order Systems | |
1.1.1 Dynamical System | |
1.1.2 Lipschitz Condition | |
1.1.3 Gronwalls Lemma | |
1.1.4 Linear Equations | |
1.1.5 Autonomous Equations | |
1.1.6 Stability of Equilibrium Points | |
1.1.6.1 Liapunov and Asymptotic Stability | |
1.1.6.2 Liapunov Function Method | |
1.1.7 Center Manifold Theorem | |
1.2 Phase | |
plane Analysis | |
1.3 Fully Nonlinear Evolution | |
1.4 Non | |
autonomous Systems | |
2 Bifurcation Theory | |
2.1 Stability and Bifurcation | |
2.2 Saddle | |
Node, Transcritical and Pitchfork Bifurcations | |
2.3 Hopf Bifurcation | |
ISBN: | 9789400770942 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Fluid Mechanics and Its Applications, 0926-5112 : v103 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering , Vibration , Hydraulic engineering , Mechanical engineering |
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Call number: | SPRINGER-2014-9783319068206:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems with Applications using MATLAB [electronic resource] |
Author(s): |
Stephen Lynch |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applicationsand simulation utilizi ng MATLAB, Simulink, the Image Processing Toolbox, and the Symbolic Math Toolbox, including MuPAD. Features new to the second edition include sections on series solutions ofordinary differential equations, perturbation methods, normal forms, Grbner bas es, and chaos synchronization chapters on image processing and binary oscillator computing hundreds of newillustrations, examples, and exercises with solutions and over eighty up-to-date MATLAB program files and Simulink model files available online. T hese files were voted MATLAB Central Pick of the Week in July2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It w ill appeal to advanced undergraduateand graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and phy sics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamicalsystems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown thatthis method of teaching using MATLAB works well with computer laboratory classes of small sizes. I recommend Dynamical Syst ems with App |
Contents: | Preface |
A Tutorial Introduction to MATLAB | |
Linear Discrete Dynamical Systems | |
Nonlinear Discrete Dynamical Systems | |
Complex Iterative Maps | |
Electromagnetic Waves and Optical Resonators | |
Fractals and Multifractals | |
The Image Processing Toolbox | |
Differential Equations | |
Planar Systems | |
Interacting Species | |
Limit Cycles | |
Hamiltonian Systems, Lyapunov Functions, and Stability | |
Bifurcation Theory | |
Three | |
Dimensional Autonomous Systems and Chaos | |
Poincar Maps and Nonautonomous Systems in the Plane | |
Local and Global Bifurcations | |
The Second Part of Hilbert's Sixte | |
ISBN: | 9783319068206 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential Equations , Engineering mathematics |
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Call number: | SPRINGER-2014-9783319022918:ONLINE Show nearby items on shelf |
Title: | Discrete Dynamical Models [electronic resource] |
Author(s): |
Ernesto Salinelli Franco Tomarelli |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides an introduction to the analysis of discrete dynamical systems. The content is presented by an unitary approach that blends the perspective of mathematical modeling together with the ones of several disciplineas Mathematical Analysi s, Linear Algebra, Numerical Analysis, Systems Theory and Probability. After a preliminary discussion of several models, the main tools for the study of linear and non-linear scalar dynamical systems arepresented, paying particular attention to the stabil ity analysis. Linear difference equations are studied in detail and an elementary introduction of Z and Discrete Fourier Transform is presented. A whole chapter is devoted to thestudy of bifurcations and chaotic dynamics. One-step vector-valued dynamical systems are the subject of three chapters, where the reader can find the applications to positive systems, Markov chains, networks and search engines. Thebook is addressed mainly to students in Mathematics, Engineering, Physics, Chemistry, Biology and Eco nomics. The exposition is self-contained: some appendices present prerequisites, algorithms and suggestions for computer simulations.The analysis of several examples is enriched by the proposition of many related exercises of increasing difficulty in the last chapter the detailed solution is given for most of them |
Contents: | 1 Recursive phenomena and difference equations |
2 Linear difference equations | |
3 Discrete dynamical systems: one | |
step scalar equations | |
4 Complex behavior of nonlinear dynamical systems: bifurcations and chaos | |
5 Discrete dynamical systems: vector equations | |
6 Markov chains | |
7 Matrix | |
8 Solutions | |
ISBN: | 9783319022918 |
Series: | eBooks |
Series: | SpringerLink |
Series: | UNITEXT, 2038-5714 : v76 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Matrix theory , Functional equations , Differentiable dynamical systems |
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Call number: | SPRINGER-2013-9783642340178:ONLINE Show nearby items on shelf |
Title: | Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 3 [electronic resource] |
Author(s): |
Santo Banerjee Lamberto Rondoni |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades hasspawned myriad applicatio ns in almost all branches of science and technologyand even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a keyrole. This third volume concentrates on reviewing further relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. This encompasses, but is not limited to,topics such fluctuation relations and chaotic dynamics in physics, fractals and their applications in epileptic seizures, as well as chaos synchronization. Featuring contributions from active and leading research groups, thiscollection is ideal both as a reference and as a recipe book full of tried and tested, successful enginee ring applications |
Note: | Springer eBooks |
Contents: | Preface |
Fluctuation Relations and Chaotic Dynamics | |
Monsoon Chaos and Wind Turbine System | |
Fractal and its Application in Epileptic Seizure | |
Chaos Synchronization: Communications and Symbolic Analysis | |
Chaos Synchronization: Sytems and Circuits | |
ISBN: | 9783642340178 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Understanding Complex Systems, 1860-0832 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering |
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Call number: | SPRINGER-2013-9783642339141:ONLINE Show nearby items on shelf |
Title: | Chaos and Complex Systems [electronic resource] : Proceedings of the 4th International Interdisciplinary Chaos Symposium |
Author(s): |
Stavros G Stavrinides Santo Banerjee Suleyman Hikmet Caglar Mehmet Ozer |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Complexity Science and Chaos Theory are fascinating areas of scientific research with wide-ranging applications. The interdisciplinary nature and ubiquity of complexity and chaos are features that provides scientists with amotivation to pursue genera l theoretical tools and frameworks. Complex systems give rise to emergent behaviors, which in turn produce novel and interesting phenomena in science, engineering, as well as in the socio-economic sciences.The aim of all Symposia on Chaos and Complex Syst ems (CCS) is to bring together scientists, engineers, economists and social scientists, and to discuss the latest insights and results obtained in the area of correspondingnonlinear-system complex (chaotic) behavior. Especially for the 4th International I nterdisciplinary Chaos Symposium on Chaos and Complex Systems, which took place April 29th to May 2nd, 2012 in Antalya, Turkey, the scope of thesymposium had been further enlarged so as to encompass the presentation of work from circuits to econophysics, and from nonlinear analysis to the history of chaos theory. The corresponding proceedings collected in this volumeaddress a broad spectrum of contemporary topics, including but not limited to networks, circuits, systems, biology, evolution and ecology, n onlinear dynamics and pattern formation, as well as neural, psychological, psycho-social,socio-economic, management complexity and global systems |
Note: | Springer eBooks |
Contents: | Two Element Chaotic and Hyperchaotic Circuits |
LempelZiv Model of Dynamical | |
chaotic and Fibonacci | |
quasiperiodic Systems | |
A Novel Numerical Approach for Determining Chaotic Levels in Stadium Billiards | |
Fault | |
tolerant Tracker for Interconnected Large | |
scale Nonlinear systems with Input Constraint. | |
Non | |
equilibrium Systems and Mechanics of Structured Particles | |
Discovery of Dozy Chaos and Discovery of Quanta: Analogy Being in Scienceand Perhaps in Human Progress | |
Stability Boundaries of Transiently Non | |
Autonomous Chaotic NonlinearSystem : Graphical Approach | |
Chaos Synchr | |
ISBN: | 9783642339141 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering |
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Call number: | SPRINGER-2012-9783642293290:ONLINE Show nearby items on shelf |
Title: | Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2 [electronic resource] |
Author(s): |
Santo Banerjee Lamberto Rondoni Mala Mitra |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades hasspawned myriad applicatio ns in almost all branches of science and technologyand even well beyond. Wherever the quantitative modeling and analysis of complex, nonlinear phenomena are required, chaos theory and its methods can play akey role. This second volume concentrates on rev iewing further relevant, contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. This encompasses, but is notlimited to, topics such as the spread of epidemics electronic circuits chaos con trol in mechanical devices secure communication and digital watermarking. Featuring contributions from active and leading research groups, thiscollection is ideal both as a reference work and as a recipe book full of tried and tested, successful engineeri ng applications |
Note: | Springer eBooks |
Contents: | Part 1: Nonlinearity in Control Systems and Geo Engineering |
Part 2: Nonlinear Dynamics and Chaos in Electronics | |
Part 3: Nonlinear Dynamics in Stochastic Networks | |
Part 4: Nonlinear Dynamics in Transport and Mechanical Engineering | |
Part 5: Chaos Theory in Communication and Cryptography | |
ISBN: | 9783642293290 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Understanding Complex Systems, 1860-0832 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering , Engineering mathematics , Vibration , Telecommunication |
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Call number: | SPRINGER-2011-9783642219221:ONLINE Show nearby items on shelf |
Title: | Applications of Chaos and Nonlinear Dynamics in Engineering - Vol. 1 [electronic resource] |
Author(s): |
Santo Banerjee Mala Mitra Lamberto Rondoni |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades hasspawned myriad applicatio ns in almost all branches of science and technologyand even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a keyrole. This volume concentrates on reviewing the m ost relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. The book covers the theory as applied torobotics, electronic and communication engineering (for example chaos synchroniz ation and cryptography) as well as to civil and mechanical engineering, where its use in damage monitoring and control is explored). Featuringcontributions from active and leading research groups, this collection is ideal both as a reference and as a reci pe book full of tried and tested, successful engineering applications |
Note: | Springer eBooks |
Contents: | Introduction |
Relevance of Chaos to Fluid Turbulence | |
Turbulent Shear Flows | |
Chaos Control Methodologies | |
Application of Chaos Control Techniques to Flow Control | |
Flow Past External Bodies and Their Wake Control | |
Conclusions and Future Directions | |
ISBN: | 9783642219221 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Understanding Complex Systems, 1860-0832 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Engineering , Engineering mathematics , Vibration , Telecommunication |
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Call number: | SPRINGER-2011-9783642149382:ONLINE Show nearby items on shelf |
Title: | Dynamics of Nonlinear Time-Delay Systems [electronic resource] |
Author(s): |
Muthusamy Lakshmanan Dharmapuri Vijayan Senthilkumar |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In thisconnection, time-delay sys tems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example dueto finite switching speeds of amplifiers in ele ctronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects arerelevant. This monograph presents the basics of chaotic time-delay systems a nd their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted toscalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentationas a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentatio n of real-world applications |
Note: | Springer eBooks |
Contents: | Delay Differential Equations |
Linear Stability and Bifurcation Analysis | |
Bifurcation and Chaos in Time | |
delayed Piecewise Linear | |
A Few Other Interesting Chaotic Delay Differential Equations | |
Implications of Delay Feebdack: Amplitude Death and Other Effects | |
Recent Developments on Delay Feedback/Coupling: Complex | |
Complete Synchronization in Coupled Time | |
delay Systems | |
Transition from Anticipatory to Lag Synchronization via Complete | |
Intermittency Transition to Generalized Snychronization | |
Transition from Phase to Generalized Synchronization | |
DTM Induced Oscillating Synchron | |
ISBN: | 9783642149382 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Synergetics, 0172-7389 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Systems theory , Engineering mathematics , Vibration , Systems engineering |
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Call number: | SPRINGER-2011-9783642127182:ONLINE Show nearby items on shelf |
Title: | Hamiltonian Chaos Beyond the KAM Theory [electronic resource] : Dedicated to George M. Zaslavsky (19352008) |
Author(s): |
Albert C. J Luo Valentin Afraimovich |
Date: | 2011 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (19352008) covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. Thebook is dedicated to Dr. George Z aslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. Thedevelopment presented in this book goes beyond the KAM theor y, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. Thebook is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professorat San Luis Potosi University, Mexico |
Note: | Springer eBooks |
Contents: | Stochastic and Resonant Layers in Nonlinear Hamiltonian Systems |
A New Approach to The Treatment of Separatrix Chaos and Its Applications | |
Hamiltonian Chaos and Anomalous Transport in Two Dimensional Flows | |
Hamiltonian Chaos with A Cold Atom in An Optical Lattice | |
Using Stochastic Webs to Control The Quantum Transport of Electrons in Semiconductor Superlattices | |
Chaos in Ocean Acoustic Waveguide | |
ISBN: | 9783642127182 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Nonlinear Physical Science, 1867-8440 : v0 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Systems theory , Vibration |
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Call number: | SPRINGER-2010-9780817646059:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems with Applications using Maple [electronic resource] |
Author(s): |
Stephen Lynch |
Date: | 2010 |
Edition: | 2 |
Publisher: | Boston : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
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Note: | The text treats a remarkable spectrum of topics and has a little for everyone. It can serve as an introduction to many of the topics of dynamical systems, and will help even the most jaded reader, such as this reviewer, enjoysome of the interactive a spects of studying dynamics using Maple. UK Nonlinear News (Review of First Edition) The book will be useful for all kinds of dynamical systems courses. [It] shows the power of using a computeralgebra program to study dynamical systems, and, by giving so many worked examples, provides ample opportunity for experiments. [It] is well written and a pleasure to read, which is helped by its attention to historicalbackground. Mathematical Reviews (Review of First Edition) Since the first edition of this book w as published in 2001, Maple has evolved from Maple V into Maple 13. Accordingly, this new edition has been thoroughly updated andexpanded to include more applications, examples, and exercises, all with solutions two new chapters on neural networks and sim ulation have also been added. There are also new sections on perturbation methods, normal forms, Grbnerbases, and chaos synchronization. The work provides an introduction to the theory of dynamical systems with the aid of Maple. The author has emphasized breadth of coverage rather than fine detail, and theorems with proof are kept to aminimum. Some of the topics treated are scarcely covered elsewhere. Common themes such as bifurcation, bistability, chaos, instability, multistability, and periodicity run t hrough several chapters. The book has a hands-on approach,using Maple as a pedagogical tool throughout. Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the authors websit e. Additional applications andfurther links of interest may be found at Maplesofts Application Center. Dynamical Systems with Applications using Maple is aimed at senior unde |
Note: | Springer eBooks |
Contents: | Preface |
A Tutorial Introduction to Maple Toolbox | |
Differential Equations | |
Planar Systems | |
Interacting Species | |
Limit Cycles | |
Hamiltonian Systems, Lyapunov Functions, and Stability | |
Bifurcation Theory | |
Three | |
Dimensional Autonomous Systems and Chaos | |
Poincar Maps and Nonautonomous Systems in the Plane | |
Local and Global Bifurcations | |
The Second Part of David Hilbert's Sixteenth Problem | |
Linear Discrete Dynamical Systems | |
Nonlinear Discrete Dynamical Systems | |
Complex Iterative Maps | |
Electromagnetic Waves and Optical Resonators | |
Fractals and Multifractals | |
Chaos | |
ISBN: | 9780817646059 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Genetics Mathematics , Engineering , Engineering mathematics |
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Call number: | SPRINGER-2008-9783540726500:ONLINE Show nearby items on shelf |
Title: | Semiconductor Lasers [electronic resource] : Stability, Instability and Chaos |
Author(s): |
Junji Ohtsubo |
Date: | 2008 |
Edition: | 2 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This monograph describes fascinating recent progress in the field of chaos, stability and instability of semiconductor lasers. Applications and future prospects are discussed in detail. The book emphasizes the various dynamicsinduced in semiconductor lasers by optical and electronic feedback, optical injection, and injection current modulation. Recent results of both theoretical and experimental investigations are presented. Demonstrating applications ofsemiconductor laser chaos, control and noise, S emiconductor Lasers describes suppression and chaotic secure communications. For those who are interested in optics but not familiar with nonlinear systems, a brief introduction to chaosanalysis is presented |
Note: | Springer eBooks |
Contents: | 1. Introduction |
2. Chaos in Laser Systems | |
3. Semiconductor Lasers and Theory | |
4. Theory of Optical Feedback in Semiconductor Lasers | |
5. Dynamics of Semiconductor Lasers with Optical Feedback | |
6. Dynamics in Semiconductor Lasers with Optical Injection | |
7. Dynamics of Semiconductor Lasers with Optoelectronic Feedback and Modulation | |
8. Instability and Chaos in Various Laser Structures | |
9. Chaos Control and Applications | |
10. Stabilizations and Semiconductor Lasers | |
11. Stability and Bistability in Feedback Interferometer, and Their Applications | |
12. Chaos Synchronization i | |
ISBN: | 9783540726500 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Optical Sciences, 0342-4111 : v111 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Electromagnetism , Quantum optics |
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Call number: | SPRINGER-2007-9780817645861:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems with Applications using Mathematica [electronic resource] |
Author(s): |
Stephen Lynch |
Date: | 2007 |
Publisher: | Boston, MA : Birkhuser Boston |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Dynamical Systems with Applications using Mathematica provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes thereader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics,and neural networks. Mathematicas symbolic, numeri cal, and graphical capabilities make it ideal for the study of nonlinear dynamical systems. An introductory chapter provides complete tutorials on how to use Mathematicastext-based input commands and palettes, enabling new users to become familiar with th e program, while providing a good reference source for experts. Working Mathematica notebooks will be available athttp://library.wolfram.com/infocenter/Books/AppliedMathematics/. Throughout the book, the author has focused on breadth of coverage rather th an fine detail, with theorems and proofs being kept to a minimum. The first part of the bookdeals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems. Some of the mater ial presented is at the postgraduate level and has been influenced bythe authors own research interests. Exercises are included at the end of every chapter. A comprehensive bibliography including textbooks and research papers rounds out the work. The book is intended for senior undergraduate andgraduate students as well as working scientists in applied mathematics, the natural sciences, and engineering. Many chapters of the book are especially useful as reference material for senior undergraduate independ ent project work.Also by the author: Dynamical Systems with Applications using MATLAB, ISBN 978-0-8176-4321-8 Dynamical Systems with Applications using Maple, ISBN 978-0-8176-4150-4 |
Note: | Springer eBooks |
Contents: | Preface |
A Tutorial Introduction to Mathematica | |
Differential Equations | |
Planar Systems | |
Interacting Species | |
Limit Cycles | |
Hamiltonian Systems, Lyapunov Functions, and Stability | |
Bifurcation Theory | |
Three | |
Dimensional Autonomous Systems and Chaos | |
Poincar Maps and Nonautonomous Systems in the Plane | |
Local and Global Bifurcations | |
The Second Part of David Hilbert's Sixteenth Problem | |
Linear Discrete Dynamical Systems | |
Nonlinear Discrete Dynamical Systems | |
Complex Iterative Maps | |
Electromagnetic Waves and Optical Resonators | |
Fractals and Multifractals | |
Chaos C | |
ISBN: | 9780817645861 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Engineering mathematics , Engineering |
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Call number: | SPRINGER-2006-9781402039492:ONLINE Show nearby items on shelf |
Title: | Non-Linear Dynamics and Fundamental Interactions [electronic resource] : Proceedings of the NATO Advanced Research Workshop on Non-Linear Dynamics and Fundamental Interactions Tashkent, Uzbekistan October 1016, 2004/ edited by Faqir Khanna, Davron M atrasulov |
Author(s): |
Faqir Khanna Davron Matrasulov |
Date: | 2006 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The book is directed to researchers and graduate students pursuing an advanced degree. It provides details of techniques directed towards solving problems in non-linear dynamics and chos that are, in general, not amenable to aperturbative treatment. The consideration of fundamental interactions is a prime example where non-perturbative techniques are needed. Extension of these techniques to finite temperature problems is considered. At present these ideasare primarily used in a perturbative context. However, non-perturbative techniques have been considered in some specific cases. Experts in the field on non-linear dynamics and chaos and fundamental interactions elaborate the techniquesand provide a critical look at the present status and explore futu re directions that may be fruitful. The text of the main talks will be very useful to young graduate students who are starting their studies in these areas |
Note: | Springer eBooks |
Contents: | Preface |
Nonlinear Dynamics | |
Heat conduction in one dimensional systems: Fourier law, chaos, and heat control | |
Quantum graphs which sound the same | |
Scarred states in strongly coupled quantum systems | |
Nonlinear Quantum Dynamics | |
Signatures of quantum chaos in open chaotic billiards | |
From quantum graphs to quantum random walks | |
Semiclassics and propagation of coherent states for spin | |
orbit coupling problems | |
Loss of inhomogeneously driven dynamical systems: general theory, regular and chaotic properties, applications | |
Quantum chaos in floppy molecular systems: the licn molecu | |
ISBN: | 9781402039492 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | NATO Science Series II: Mathematics, Physics and Chemistry, 1568-2609 : v213 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Quantum theory , Molecular structure , Engineering |
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Call number: | SPRINGER-2005-9781402029479:ONLINE Show nearby items on shelf |
Title: | Chaotic Dynamics and Transport in Classical and Quantum Systems [electronic resource] : Proceedings of the NATO Advanced Study Institute on International Summer School on Chaotic Dynamics and Transport in Classical andQuantum Systems Cargse, Corsica 1830 August 2003 / edited by P. Collet, M. Courbage, S. Mtens, A. Neishtadt, G. Zaslavsky |
Author(s): |
P Collet M Courbage S Mtens A Neishtadt G Zaslavsky |
Date: | 2005 |
Publisher: | Dordrecht : Springer Netherlands |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book offers a modern updated review on the most important activities in today dynamical systems and statistical mechanics by some of the best experts in the domain. It gives a contemporary and pedagogical view on theories ofclassical and quantum chaos and complexity in hamiltonian and ergodic systems and their applications to anomalous transport in fluids, plasmas, oceans and atom-optic devices and to control of chaotic transport. The book is issued fromlecture notes of the International Summer School on Chaotic Dynamics and Transport in Classical and Quantum Systems held in Cargse (Corsica) 18th to the 30th August 2003. It reflects the spirit of the School to provide lecturesat the post-doctoral level on basic concepts and tools. The first part concerns ergodicity and mixing, complexity and entropy functions, SRB measures, fractal dimensions and bifurcations in hamiltonian systems. Then, models ofdynamical evolutions of transport processes in classical and quantum systems have been largely expl ained. The second part concerns transport in fluids, plasmas and reacting media. On the other hand, new experiments of cold opticallytrapped atoms and electrodynamics cavity have been thoroughly presented. Finally, several papers bear on synchronism and c ontrol of chaos. The target audience of the proceedings are physicists, mathematicians and all scientistsinvolved in Chaos and Dynamical Systems Theory and their fundamental applications in Physics and in the Science of Complex and Nonlinear phenomena |
Note: | Springer eBooks |
ISBN: | 9781402029479 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | NATO Science Series, Series II: Mathematics, Physics and Chemistry, 1568-2609 : v182 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Differentiable dynamical systems , Statistical physics , Thermodynamics , Engineering |
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Call number: | SPRINGER-2004-9783662101841:ONLINE Show nearby items on shelf |
Title: | Synergetics Introduction and Advanced Topics |
Author(s): |
Hermann Haken |
Date: | 2004 |
Size: | 1 online resource (764 p.) |
Note: | 10.1007/978-3-662-10184-1 |
Contents: | Part I: Goal -- Probability -- Information -- Chance -- Necessity -- Chance and Necessity -- Self-Organization -- Physical Systems -- Chemical and Biochemical Systems -- Applications in Biology -- Sociology and Economics -- Chaos -- |
Some Historical Remarks and Outlook -- Part II: Linear Ordinary Differential Equations -- Linear Ordinary Differential Equations with Quasiperiodic Coefficients -- Stochastic Nonlinear Differential Equations -- The World of Coupled | |
Nonlinear Oscillators -- Nonlinear Coupling of Oscillators: The Case of Persistence of Quasiperiodic Motion -- Nonlinear Equations. The Slaving Principle -- Nonlinear Equations. Qualitative Macroscopic Changes -- Spatial Patterns -- | |
The Inclusion of Noise -- Discrete Noisy Maps -- Example of an Unsolvable Problem in Dynamics -- Some Comments on the Relation Between Synergetics and Other Sciences | |
ISBN: | 9783662101841 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Biochemistry , Dynamics , Ergodic theory , System theory , Physics , Mathematics , Dynamical Systems and Ergodic Theory , Systems Theory, Control , Theoretical, Mathematical and Computational Physics , Biochemistry, general |
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Call number: | SPRINGER-2003-9781447100492:ONLINE Show nearby items on shelf |
Title: | Essential Mathematical Biology |
Author(s): |
Nicholas Ferris Britton |
Date: | 2003 |
Size: | 1 online resource (335 p.) |
Note: | 10.1007/978-1-4471-0049-2 |
Contents: | 1. Single Species Population Dynamics -- 2. Population Dynamics of Interacting Species -- 3. Infectious Diseases -- 4. Population Genetics and Evolution -- 5. Biological Motion -- 6. Molecular and Cellular Biology -- 7. Pattern |
Formation -- 8. Tumour Modelling -- Further Reading -- A. Some Techniques for Difference Equations -- A.1 First-order Equations -- A.1.1 Graphical Analysis -- A.1.2 Linearisation -- A.2 Bifurcations and Chaos for First-order Equations | |
-- A.2.1 Saddle-node Bifurcations -- A.2.2 Transcritical Bifurcations -- A.2.3 Pitchfork Bifurcations -- A.2.4 Period-doubling or Flip Bifurcations -- A.3 Systems of Linear Equations: Jury Conditions -- A.4 Systems of Nonlinear | |
Difference Equations -- A.4.1 Linearisation of Systems -- A.4.2 Bifurcation for Systems -- B. Some Techniques for Ordinary Differential Equations -- B.1 First-order Ordinary Differential Equations -- B.1.1 Geometric Analysis -- B.1.2 | |
Integration -- B.1.3 Linearisation -- B.2 Second-order Ordinary Differential Equations -- B.2.1 Geometric Analysis (Phase Plane) -- B.2.2 Linearisation -- B.2.3 Poincaré-Bendixson Theory -- B.3 Some Results and Techniques for rath | |
Order Systems -- B.3.1 Linearisation -- B.3.2 Lyapunov Functions -- B.3.3 Some Miscellaneous Facts -- B.4 Bifurcation Theory for Ordinary Differential Equations -- B.4.1 Bifurcations with Eigenvalue Zero -- B.4.2 Hopf Bifurcations -- | |
C. Some Techniques for Partial Differential Equations -- C.1 First-order Partial Differential Equations and Characteristics -- C.2 Some Results and Techniques for the Diffusion Equation -- C.2.1 The Fundamental Solution -- C.2.2 | |
Connection with Probabilities -- C.2.3 Other Coordinate Systems -- C.3 Some Spectral Theory for Laplace’s Equation -- C.4 Separation of Variables in Partial Differential Equations -- C.5 Systems of Diffusion Equations with Linear | |
Kinetics -- C.6 Separating the Spatial Variables from Each Other -- D. Non-negative Matrices -- D.1 Perron-Frobenius Theory -- E. Hints for Exercises | |
ISBN: | 9781447100492 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Life sciences , Applied mathematics , Engineering mathematics , Mathematical models , Biomathematics , Mathematics , Mathematical and Computational Biology , Applications of Mathematics , Mathematical Modeling and Industrial Mathematics , Life Sciences, general |
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Call number: | SPRINGER-2003-9781441989079:ONLINE Show nearby items on shelf |
Title: | Coherence and Quantum Optics VIII Proceedings of the Eighth Rochester Conference on Coherence and Quantum Optics, held at the University of Rochester, June 13–16, 2001 |
Author(s): | |
Date: | 2003 |
Size: | 1 online resource (710 p.) |
Note: | 10.1007/978-1-4419-8907-9 |
Contents: | The Early Days of Quantum Optics in France -- Early History of Bell’s Theorem -- Cavity QED with Strong Coupling — Toward the Deterministic Control of Quantum Dynamics -- Fast and Slow Light -- Controlling Quantum Rotation with Light |
-- Retrodictive Quantum Optics -- Spontaneous Intrinsic Decoherence in Two and Three Slits Young Interference Experiments -- All Optical Formation of a Bose Einstein Condensate -- Faster-than-Light Propagations and Their Applications | |
-- Beyond Diffraction Limit in Optical Lithography via Quantum Entanglement -- “Stopping” of Light and Quantum Memories for Photons -- Quantum Aspects of Imaging -- Polarization Dynamics of a Two-Photon Laser -- Atomic Clocks and Cold | |
Atom Scattering -- Manipulating Entanglement with Atoms and Photons in a Box -- Taming Light with Cold Atoms: Light at Bicycle Speed … and Slower Yet! -- Dark Resonances in Solids for Quantum Computing and Slow Light -- Quantum Dot | |
Single Photon Source -- Coherenceand Collective Behavior in Bose-Einstein Condensates -- Sub-Diffraction-Limited Resolution with Squeezed Light -- Fiber Generated Quantum Correlations for Quantum-Optical Communications -- JC Photons in | |
Frequency Continua: Exact Solution and Quantum Features -- A Bose Einstein Condensate of Metastable Helium Atoms -- Quantum Interferometry with Fiber Solitons — A direct Experimental Test of Non-Separability -- Nonlinear Atom Optics: | |
Bosons vs Fermions -- Instability, Area Quantization, and Area Gaps in Cavity-Accelerated Superradiant Atom-Cavity Systems -- Multitime Coherent Spectroscopies of Complex Molecules: From Infrared to X-Ray -- Wave-Particle Correlations | |
of Non-Classical Light -- Real-Time Control of Atomic Motion Using Feedback -- Single Atomsand Single Photons in Cavity Quantum Electrodynamics -- Nontrivial Analogies Between Quantum Optics and Bose-Einstein Condensation -- | |
Hyperentanglement in Parametric Down-Conversion -- Coherencein an Optically Trapped Fermi Gas -- Generation of Photon Number States by Cavity Quantum Electrodynamics -- Superluminal Light Pulse Propagation at a Negative Group Velocity | |
-- Decoherence of Trapped-Atom Motional State Superpositions -- Recent Advances in Teleportation of Entanglement and in Fullerene Interference -- Nonclassical, Two-Photon Interferometry and Lithography with High-Gain Optical Parametric | |
Amplifiers -- Simultaneous Quantum State Measurement Using Array Detection -- Quantum Positioning System -- High-Frequency, Time-Domain, Optical Homodyne Tomography -- Coherent Control of Atoms in an Optical Lattice -- Photoionization | |
of Bose-Einstein Condensates -- Quantum Noise in Coupled Atomic and Molecular Bose-Einstein Condensates -- Cavity-QED with a Single Ion -- Superradiance in Photonic Crystals -- Temporal and Spatial Coherence Properties of Nonstationary | |
Polychromatic Light Sourcesin One-Dimensional Photonic Band-Gap Structures -- Effectof measurements of Collective Observables on a Single Atom -- Experimental Demonstration of Wave Chaos in a Conventional Optical Resonator -- Bell | |
State Preparation Using Pulsed Non-Degenerate Two-Photon Entanglement -- Efficient collection of Polarization-Entangled Photons on Type-II Parametric Down Conversion -- A Stochastic Map for Qubit Decoherence -- Fighting Decoherence | |
with Pointer Engineering -- Uncertainty Relations Associated with Correlations in Mixed Quantum States -- Observation of Gouy Scars in Optical Wave Chaos -- Adiabatic Wavepacket Propagation -- Squeezing Light in Linear Dispersive | |
Dielectrics -- Intensity-Field and Intensity-Intensity Correlations in a Strongly Coupled Cavity QED System -- Separation Approach for Jaynes-Cummings Model in Multi-Level Atom -- Ion Coulomb-Crystals: A Medium for Storage of Quantum | |
States of Light? -- Chaotic Walking of a Cold Atom in an Ideal Cavity -- Feedback with Conditional Measurements in Cavity QED -- Effects of Decoherence on Entangled Atomic Wave Functions in Microcavities -- Fiber Generated Quantum | |
Correlations for Quantum-Optical Communications -- Bloch-Siegert Oscillation for Detection and Quantum Teleportation of the Phase of an Oscillating Field -- Two-Photon Diffraction and Quantum Lithography -- Suppressing Decoherence and | |
Heating with Quantum “Bang-Bang” Controls -- Entanglement Disentangled by Spacetime Vortices -- Atomic Inversion for an Atom Coupledto a Squeezed Vacuum in a Coherently Driven Cavity -- Quantization of the Field in Dielectrics -- | |
Quantum Optical Effects Across a Metallic Film -- Coupled Interferometer Scheme for Generating Maximally Entangled Photonic States -- Enhanced Second-Harmonic Generation Due to a Local-Field Effect -- Nonclassical Behaviours of Optical | |
Field in Photoncs Band Gaps Structures -- The Photon Modeland Non-Hermitean Modes -- Induced Coherence without Induced Emission in Parametric Down-Conversion -- Correlation Functions, Measurement Operators, and Conditioned Atomic | |
States in Resonance Fluorescence with Spectral Resolution -- Quantum Algebras for Quantum Optics -- A Delayed-Choice Quantum Eraser Experiment -- Delayed Single-Photon Self-Interference — A Double Slit Experiment in the Time Domain -- | |
Retrodiction with Two-Level Atoms: Atomic Previvals and Micromaser Field Measurements -- Measurements of the Geometric Phase of First-Order Optical Gaussian Beams -- Fresnel Diffraction of Circular Apertures Illuminated with | |
Partially-Coherent Light: Cross Spectral Density Propagation -- Radiation Forces Produced by Non-Paraxial Beam Trapping -- Measurement of the Polarization-Induced Asymmetry in Focal Spots -- Partially Coherent Imaging Through | |
Turbulence with an All-Optical Adaptive-Optics System -- Interrelation Between Spatial and Temporal Reciprocity Inequalities of Partially-Coherent Beams -- Ultra-Sensitive Autocorrelation of 1.5 ?um Light with a Photon-Counting Silicon | |
Avalanche Photodiode -- A New Phase Space Product for Light Beams of Any State of Coherence -- Spectral Changes in Focused Partially Coherent Wave Fields -- Nonachromaticity and Reversals of Topological Phase as a Function of | |
Wavelength -- The Law of Conservation of Radiance is a Consequence of the Partial Coherence of the Optical Field -- Application of Modal Theory of Coherence for Nonstationary Partially Coherent Optical Fields -- Photonic | |
Electro-Magnetic Resonance -- Partially Coherent Volume Diffraction -- Inverse Diffractive Optics: Asymptotic Technique for Light of Any State of Coherence -- Demonstration of a Coherent Thermal Source -- Image Reconstruction in Scalar | |
Wave Optics -- High Depth of Field Microscopy with an Interferometric Imaging System -- On the Nonlinear Orbital Motion of the Driven Two-Photon Jaynes-Cummings Model -- Jaynes-Cummings Model with Moving Phased Atoms -- Dynamics of Two | |
Atoms Coupled to a Cavity Field -- Pattern Formation, Localization and Coherent Structures in Nonlinear Wave Dynamics -- Stochastic Simulations and Discreteness of Light -- From the Ordinary Threshold Regime to Ideal Thresholdless | |
Lasing -- Criticality and Dynamics of Quantum Fluctuations in an OPO -- Quantum Deflection of Ultracold Atoms by Ideal Mirrors -- Spontaneous Emission Near Metal-Coated Dielectric Cylindrical Structures -- Time-Frequency Wigner | |
Function of Ultrashort Light Pulses -- Rotation Angle of the Wigner Distribution Function of the Partially Coherent Fractional Fourier Field -- Quasiclassical Calculations of Wigner Functions in Nonlinear Dynamics via Wavelets -- | |
Quantum Correlations in a Passive Nonlinear Optical Fiber Resonator -- Time Asymmetry in Measurements Based on Photoelectric Detection -- Photon Correlations in the Homodyne Detection of Squeezed Light -- Rigorous Analysis of Homodyne | |
Detection -- Joint Quantum Measurement Using Unbalanced Array Detection -- A New View of Bell’s Inequalities -- An Experiment for Testing de Broglie-Bohm Theory Against Standard Quantum Mechanics -- Bell’s Inequalities for Multiphoton | |
States -- Testing Bell Inequalities in Photonic Crystals -- On the Detection of Single Mode Quantum Coherence at Optical Frequencies -- Soliton Interaction Control in Coherently Excited Three-Level System Embedded in a Nonlinear | |
Waveguide -- Nonexponential Decoherence of Coherent State Superposition in Degenerate Optical Parametric Amplifier -- Decoherence Control by Homodyne-Mediated Feedback -- QuantumControl of Population Inversion in the Presence of | |
Spontaneous Emission -- Decoherenceof a Trapped Ion: The Combined Effect of the Micromotion and the Stray Fields on the Fidelity of Motional States -- Coherent Control of the Excitation Routes in Four-Wave Mixing with Rdyberg Levels -- | |
Cold Collision Control in Cavity QED -- Wave Packet Control in the Fourier Time Basis -- VacuumNoise in Presence of Atoms -- Quantum Interference Effect in Molecular Systems -- Lighting a Dark State by Shaping of Light-Induced | |
Potentials -- Dynamical Creation of Entanglement by Feedback -- State-Selective Phase Control of Molecular Wave Packets in Two Electronic States -- Quasimodes and Pseudomodes in Structured Reservoirs -- Pulse Generationin Vibrating | |
Cavities -- New Ultra-Bright Source of Entangled Photons -- Source of Photon-Number-Squeezed Light with Adjustable Level of Squeezing -- High-Visibility Two-Photon Interference in Femtosecond Pulse Pumped Type-II SPDC -- Four Photon | |
Entanglement from Parametric Down Conversion -- Observation of Time-Dependent Inhibited Spontaneous Emission -- Conditional Coherence via Phase-Sensitive Post-Selection -- Quantum Descriptions of Light Propagation in a Parametric | |
Amplifier -- Higher Order Photon Statistics of Intracavity Second Harmonic Generation -- Observation of Nonclassical Photon Statistics in Two-Photon Interference -- Demonstration of the Complementarity on One- and Two-Photon | |
Interference -- The Role of Hyperentanglement in Quantum Interferometry -- Eliminating Frequency and Space-Time Entanglement in Multi-Photon States -- OPO in Transverse Degenerate Cavities: Multimode Operation and Spatial Quantum E | |
ISBN: | 9781441989079 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Quantum physics , Atomic structure , Molecular structure , Spectra , Electrical engineering , Materials science , Physics , Quantum Physics , Atomic/Molecular Structure and Spectra , Electrical Engineering , Characterization and Evaluation of Materials , Physics, general |
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Call number: | SPRINGER-2003-9780387217499:ONLINE Show nearby items on shelf |
Title: | Introduction to Applied Nonlinear Dynamical Systems and Chaos |
Author(s): |
Stephen Wiggins |
Date: | 2003 |
Edition: | Second Edition |
Size: | 1 online resource (844 p.) |
Note: | 10.1007/b97481 |
Contents: | Equilibrium Solutions, Stability, and Linearized Stability -- Liapunov Functions -- Invariant Manifolds: Linear and Nonlinear Systems -- Periodic Orbits -- Vector Fields Possessing an Integral -- Index Theory -- Some General |
Properties of Vector Fields: Existence, Uniqueness, Differentiability, and Flows -- Asymptotic Behavior -- The Poincaré-Bendixson Theorem -- Poincaré Maps -- Conjugacies of Maps, and Varying the Cross-Section -- Structural Stability, | |
Genericity, and Transversality -- Lagrange’s Equations -- Hamiltonian Vector Fields -- Gradient Vector Fields -- Reversible Dynamical Systems -- Asymptotically Autonomous Vector Fields -- Center Manifolds -- Normal Forms -- Bifurcation | |
of Fixed Points of Vector Fields -- Bifurcations of Fixed Points of Maps -- On the Interpretation and Application of Bifurcation Diagrams: A Word of Caution -- The Smale Horseshoe -- Symbolic Dynamics -- The Conley-Moser Conditions, or | |
“How to Prove That a Dynamical System is Chaotic” -- Dynamics Near Homoclinic Points of Two-Dimensional Maps -- Orbits Homoclinic to Hyperbolic Fixed Points in Three-Dimensional Autonomous Vector Fields -- Melnikov–s Method for | |
Homoclinic Orbits in Two-Dimensional, Time-Periodic Vector Fields -- Liapunov Exponents -- Chaos and Strange Attractors -- Hyperbolic Invariant Sets: A Chaotic Saddle -- Long Period Sinks in Dissipative Systems and Elliptic Islands in | |
Conservative Systems -- Global Bifurcations Arising from Local Codimension—Two Bifurcations -- Glossary of Frequently Used Terms | |
ISBN: | 9780387217499 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Texts in Applied Mathematics: 2 |
Keywords: | Mathematics , Dynamics , Ergodic theory , Applied mathematics , Engineering mathematics , Statistical physics , Dynamical systems , Mathematics , Dynamical Systems and Ergodic Theory , Applications of Mathematics , Statistical Physics, Dynamical Systems and Complexity , Appl.Mathematics/Computational Methods of Engineering |
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Call number: | SPRINGER-2002-9780387216324:ONLINE Show nearby items on shelf |
Title: | Handbook of Physics |
Author(s): | |
Date: | 2002 |
Size: | 1 online resource (eReference p.) |
Note: | 10.1007/0-387-21632-4 |
Contents: | From the Contents: I Mechanics: Kinematics -- Dynamics -- Rigid Bodies -- Micromechanics -- Gravitation and the Theory of Relativity -- Mechanics of Continuous Media -- Nonlinear Dynamics, Chaos, and Fractals -- Tables on Mechanics II |
Vibrations and Waves: Vibrations -- Waves -- Acoustics -- Optics -- Tables on Vibrations, Waves, Acoustics, and Optics III Electricity: Charges and Currents -- Electric and Magnetic Field -- Applications in Electrical Engineering -- | |
Current Conduction in Liquids, Gases, and Vacuum -- Plasma Physics -- Tables on Electricity IV Thermodynamics: Equilibrium and State Variables -- Heat, Conversion of Energy, and Changes of State -- Phase Transitions, Reactions, and | |
Equalizing of Heat -- Tables on Thermodynamics V Quantum Physics: Photons, Electromagnetic Radiation, and Light Quanta | |
ISBN: | 9780387216324 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Engineering , Physics , Physics, general , Engineering, general |
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Call number: | SPRINGER-2001-9783642565892:ONLINE Show nearby items on shelf |
Title: | Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems |
Author(s): | |
Date: | 2001 |
Size: | 1 online resource (820 p.) |
Note: | 10.1007/978-3-642-56589-2 |
Contents: | Random Attractors: Robustness, Numerics and Chaotic Dynamics -- Self-Similar Measures -- Continuation of Low-Dimensional Invariant Subspaces in Dynamical Systems of Large Dimension -- On Hybrid Methods for Bifurcation and Center |
Manifolds for General Operators -- Dimension Theory of Smooth Dynamical Systems -- Collision of Control Sets -- The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems -- Polynomial Skew Products -- Transfer | |
Operator Approach to Conformational Dynamics in Biomolecular Systems -- Simulation and Numerical Analysis of Dendritic Growth -- Bifurcation Phenomena and Dynamo Effect in Electrically Conducting Fluids -- Cascades of Homoclinic | |
Doubling Bifurcations -- Existence, Bifurcation, and Stability of Profiles for Classical and Non-Classical Shock Waves -- Dynamical Systems of Population Dynamics -- Topological and Measurable Dynamics of Lorenz Maps -- | |
Three-Dimensional Steady Capillary-Gravity Waves -- Discretization, Inflation and Perturbation of Attractors -- Aspects on Data Analysis and Visualization for Complicated Dynamical Systems -- Non-Smooth Dynamical Systems: An Overview | |
-- Forced Symmetry Breaking and Relative Periodic Orbits -- On Dynamics and Bifurcations of Nonlinear Evolution Equations Under Numerical Discretization -- Evolution of Microstructure: an Example -- An Extension of the Thermodynamic | |
Formalism Approach to Selberg’s Zeta Function for General Modular Groups -- Stability and Diffusive Dynamics on Extended Domains -- Dimension Estimates for Invariant Sets of Dynamical Systems -- On the Inverse Problem of Fractal | |
Compression -- The Orbit Space Method: Theory and Application -- Multi-Pulse Homoclinic Loops in Systems with a Smooth First Integral -- Quantum Chaos and Quantum Ergodicity -- Periodic Orbits and Attractors for Autonomous | |
Reaction-Diffusion Systems -- Unconditionally Stable Explicit Schemes for the Approximation of Conservation Laws -- Color Plates -- Author Index | |
ISBN: | 9783642565892 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Probabilities , Statistical physics , Dynamical systems , Mathematics , Applications of Mathematics , Analysis , Statistical Physics, Dynamical Systems and Complexity , Probability Theory and Stochastic Processes |
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Call number: | SPRINGER-2000-9783540454632:ONLINE Show nearby items on shelf |
Title: | Noise, Oscillators and Algebraic Randomness From Noise in Communication Systems of Number Theory Lectures of a School Held in Chapelle des Bois, France, April 5–10, 1999 |
Author(s): | |
Date: | 2000 |
Size: | 1 online resource (3 p.) |
Note: | 10.1007/3-540-45463-2 |
Contents: | Mathemagics -- Thermal and Quantum Noise in Active Systems -- Dipole at ? = 1 -- Stored Ion Manipulation Dynamics of Ion Cloud and Quantum Jumps with Single Ions -- 1/f Fluctuations in Cosmic Ray Extensive Air Showers -- Stochastic |
Resonance and the Benefit of Noise in Nonlinear Systems -- Time is Money -- Oscillators and the Characterization of Frequency Stability: an Introduction -- Phase Noise Metrology -- Phonon Fine Structure in the 1/f Noise of Metals, | |
Semiconductors and Semiconductor Devices -- The General Nature of Fundamental 1/f Noise in Oscillators and in the High Technology Domain -- 1/f Frequency Noise in a Communication Receiver and the Riemann Hypothesis -- Detection of | |
Chaos in the Noise of Electronic Oscillators by Time Series Analysis Methods -- Geometry and Dynamics of Numbers Under Finite Resolution -- Diophantine Conditions and Real or Complex Brjuno Functions -- Algebraic and Analytic | |
Randomness -- From Symbolic Dynamics to a Digital Approach: Chaos and Transcendence -- Algebraic Dynamics and Transcendental Numbers -- Dynamics of Some Contracting Linear Functions Modulo 1 -- On the Modular Function and Its | |
Importance for Arithmetic -- On Generalized Markoff Equations and Their Interpretation | |
ISBN: | 9783540454632 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 550 |
Keywords: | Physics , Applied mathematics , Engineering mathematics , Statistical physics , Dynamical systems , Physics , Mathematical Methods in Physics , Statistical Physics, Dynamical Systems and Complexity , Applications of Mathematics |
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Call number: | SPRINGER-1999-9781461215080:ONLINE Show nearby items on shelf |
Title: | Chaos Near Resonance |
Author(s): |
G Haller |
Date: | 1999 |
Size: | 1 online resource (430 p.) |
Note: | 10.1007/978-1-4612-1508-0 |
Contents: | 1 Concepts From Dynamical Systems -- 1.1 Flows, Maps, and Dynamical Systems -- 1.2 Ordinary Differential Equations as Dynamical Systems -- 1.3 Liouville’s Theorem -- 1.4 Structural Stability and Bifurcation -- 1.5 Hamiltonian Systems |
-- 1.6 Poincaré—Cartan Integral Invariant -- 1.7 Generating Functions -- 1.8 Infinite-Dimensional Hamiltonian Systems -- 1.9 Symplectic Reduction -- 1.10 Integrable Systems -- 1.11 KAM Theory and Whiskered Tori -- 1.12 Invariant | |
Manifolds -- 1.13 Stable and Unstable Manifolds -- 1.14 Stable and Unstable Foliations -- 1.15 Strong Stable and Unstable Manifolds -- 1.16 Weak Hyperbolicity -- 1.17 Homoclinic Orbits and Homoclinic Manifolds -- 1.18 Singular | |
Perturbations and Slow Manifolds -- 1.19 Exchange Lemma -- 1.20 Exchange Lemma and Observability -- 1.21 Normal Forms -- 1.22 Averaging Methods -- 1.23 Lambda Lemma and the Homoclinic Tangle -- 1.24 Smale Horseshoes and Symbolic | |
Dynamics -- 1.25 Chaos -- 1.26 Hyperbolic Sets, Transient Chaos, and Strange Attractors -- 1.27 Melnikov Methods -- 1.28 Šilnikov Orbits -- 2 Chaotic Jumping Near Resonances: Finite-Dimensional Systems -- 2.1 Resonances and Slow | |
Manifolds -- 2.2 Assumptions and Definitions -- 2.3 Passage Lemmas -- 2.4 Tracking Lemmas -- 2.5 Energy Lemmas -- 2.6 Existence of Multipulse Orbits -- 2.7 Disintegration of Invariant Manifolds Through Jumping -- 2.8 Dissipative Chaos: | |
Generalized Šilnikov Orbits -- 2.9 Hamiltonian Chaos: Homoclinic Tangles -- 2.10 Universal Homoclinic Bifurcations in Hamiltonian Applications -- 2.11 Heteroclinic Jumping Between Slow Manifolds -- 2.12 Partially Slow Manifolds of | |
Higher Codimension -- 2.13 Bibliographical Notes -- 3 Chaos Due to Resonances in Physical Systems -- 3.1 Oscillations of a Parametrically Forced Beam -- 3.2 Resonant Surface-Wave Interactions -- 3.3 Chaotic Pitching of Nonlinear | |
Vibration Absorbers -- 3.4 Mechanical Systems With Widely Spaced Frequencies -- 3.5 Irregular Particle Motion in the Atmosphere -- 3.6 Subharmonic Generation in an Optical Cavity -- 3.7 Intermittent Bursting in Turbulent Boundary | |
Layers -- 3.8 Further Problems -- 4 Resonances in Hamiltonian Systems -- 4.1 Resonant Equilibria -- 4.2 The Classical Water Molecule -- 4.3 Dynamics Near Intersecting Resonances -- 4.4 An Example From Rigid Body Dynamics -- 4.5 | |
Resonances in A Priori Unstable Systems -- 5 Chaotic Jumping Near Resonances: Infinite-Dimensional Systems -- 5.1 The Main Examples -- 5.2 Assumptions and Definitions -- 5.3 Invariant Manifolds and Foliations -- 5.4 Passage Lemmas -- | |
5.5 Tracking Lemmas -- 5.6 Energy Lemmas -- 5.7 Multipulse Homoclinic Orbits in Sobolev Spaces -- 5.8 Disintegration of Invariant Manifolds Through Jumping -- 5.9 Generalized Šilnikov Orbits -- 5.10 The Purely Hamiltonian Case -- 5.11 | |
Homoclinic Jumping in the Perturbed NLS Equation -- 5.12 Partially Slow Manifolds of Higher Codimension -- 5.13 Homoclinic Jumping in the CNLS System -- 5.14 Bibliographical Notes -- A Elements of Differential Geometry -- A.1 Manifolds | |
-- A.2 Tangent, Cotangent, and Normal Bundles -- A.3 Transversality -- A.4 Maps on Manifolds -- A.5 Regular and Critical Points -- A.6 Lie Derivative -- A.7 Lie Algebras, Lie Groups, and Their Actions -- A.8 Orbit Spaces -- A.9 | |
Infinite-Dimensional Manifolds -- A.10 Differential Forms -- A.11 Maps and Differential Forms -- A.12 Exterior Derivative -- A.13 Closed and Exact Forms -- A.14 Lie Derivative of Forms -- A.15 Volume Forms and Orientation -- A.16 | |
Symplectic Forms -- A.17 Poisson Brackets -- A.18 Integration on Manifolds and Stokes’s Theorem -- B Some Facts From Analysis -- B.1 Fourier Series -- B.2 Gronwall Inequality -- B.3 Banach and Hilbert Spaces -- B.4 Differentiation and | |
the Mean Value Theorem -- B.5 Distributions and Generalized Derivatives -- B.6 Sobolev Spaces -- B.8 Factorization of Functions With a Zero -- References -- Symbol Index | |
ISBN: | 9781461215080 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Applied Mathematical Sciences: 138 |
Keywords: | Mathematics , Dynamics , Ergodic theory , Applied mathematics , Engineering mathematics , Statistical physics , Dynamical systems , Mathematics , Dynamical Systems and Ergodic Theory , Statistical Physics, Dynamical Systems and Complexity , Applications of Mathematics |
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Call number: | SPRINGER-1998-9781461222248:ONLINE Show nearby items on shelf |
Title: | Probability Towards 2000 |
Author(s): | |
Date: | 1998 |
Size: | 1 online resource (356 p.) |
Note: | 10.1007/978-1-4612-2224-8 |
Contents: | Non-linear extensions of classical and quantum stochastic calculus and essentially infinite dimensional analysis -- Trends and open problems in the theory of random dynamical systems -- Probability and Statistics: Selfdecomposability, |
finance and turbulence -- Some thoughts on extreme values -- Stochastic positive flows and quantum filtering dynamics -- Stein’s method: Some perspectives with applications -- Trilogy of couplings and general formulas for lower bound | |
of spectral gap -- Stochasticity and chaos -- Decoupling inequalities: A second generation of martingale inequalities -- Stochastic differential equations on manifolds -- Extending flows of classical Markov processes to quantum flows | |
in Foch space -- Quantum stochastic analysis after four decades -- Perfect simulation for the area interaction point-process -- Quantum probability seen by a classical probabilist -- Stochastic anticipating calculus -- Foundation of | |
entropy, complexity and fractals in quantum systems -- Dirichlet forms on infinite dimensional ‘manifold-like’ state spaces: A survey of recent results and some prospects for the future -- Quantum stochastic calculus and applications — | |
a review -- Coupling -- Some recent developments for queueing networks | |
ISBN: | 9781461222248 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Statistics: 128 |
Keywords: | Mathematics , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics, general |
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Call number: | SPRINGER-1997-9781461559238:ONLINE Show nearby items on shelf |
Title: | Quantum Communication, Computing, and Measurement |
Author(s): | |
Date: | 1997 |
Size: | 1 online resource (546 p.) |
Note: | 10.1007/978-1-4615-5923-8 |
Contents: | Speeches of Organizers -- I. Quantum Communication and Information Theory -- Information Theoretic Interpretations of von Neumann Entropy -- Quantum Information Theory, the Entropy Bound, and Mathematical Rigor in Physics -- Classical |
and Quantum Information Transmission and Interactions -- Bounds of the Accessible Information under the Influence of Thermal Noise -- Techniques for Bounding Quantum Correlations -- Relation between Channel Capacity and Quantum Minimax | |
Decision in Quantum Information Theory -- Optimum Binary Signal Detections for Error Probability and Mutual Information -- Entanglement-Enhanced Classical Communication on a Noisy Quantum Channel -- Security against Eavesdropping in | |
Quantum Cryptography -- A Linear Programming Approach to Attainable Cramér-Rao Type Bounds -- Non-Commutative Extension of Information Geometry II -- Wavelets and Information-Preserving Transformations -- On the Realization of Received | |
Quantum State Control by Unitary Transformation -- Properties of Quantum Cryptography Based on Orthogonal States: Goldenberg and Vaidman Scheme -- Computation of Mutual Entropy in Quantum Amplifier Processes -- II. Quantum Computing -- | |
Quantum Computing and Decoherence in Quantum Optical Systems -- Unitary Dynamics for Quantum Codewords -- Quantum Error Correction with Imperfect Gates -- Eliminating the Effects of Spontaneous Emission in Quantum Computations with | |
Cold Trapped Ions -- Integrability and Computability in Simulating Quantum Systems -- Slowing Down the Decoherence of Quantum Bits -- Quantum Capacity of Noisy Quantum Channel -- III. Quantum Measurement Theory and Statistical Physics | |
-- On Covariant Instruments in Quantum Measurement Theory -- Quantum State Reduction and the Quantum Bayes Principle -- On the Quantum Theory of Direct Detection -- Homodyning as Universal Detection -- Resolutions of the Identity in | |
Terms of Line Integrals of Coherent States and Their Use for Quantum State Engineering -- Unitary Control Process for Quantum Optimum Detection -- Quantum Zeno Effect and “Domination” of the Temporal Evolution of Quantum Systems -- | |
Physical Interpretation of Optimum Quantum Detection Operators -- Generalised Uncertainties for Quantum Signal Processing -- Optimal Quantum Measurements for Phase Estimation in Interferometry -- Hypersensitivity to Perturbation: An | |
Information-Theoretical Characterization of Classical and Quantum Chaos -- A Topological Approach to Phase of Quantum Chaos -- Subdynamics through Time Scales and Scattering Maps in Quantum Field Theory -- Time-Ordered Wick Exponential | |
and Quantum Stochastic Differential Equations -- “Nonlocal” Interference Effects in Frequency Domain -- Quantum Stochastic Systems in Terms of Non-Equilibrium Thermo Field Dynamics -- Considerations in the Time-Energy Uncertainty | |
Relation from the Viewpoint of Hypothesis Testing -- An Open System Approach to Quantum Computers -- IV. Quantum Optics -- Atom Lasers -- Measurement of Quantum Phase Distribution by Projection Synthesis -- Quantum Optical Phase -- | |
Single-Shot Adaptive Measurements of the Phase of a Single Mode Field -- Amplitude Squeezing of the Fundamental Field by Means of Traveling-Wave Quasi-Phasematched Second-Harmonic Generation in a LiNbO3 Waveguide -- Quantum Noise | |
Reduction of the Pump Field in an Optical Parametric Oscillator -- Optical Measurements of Weak Absorption beyond Shot-Noise Limit -- Decoherence and Relaxation of Two Strongly Coupled Spin 1/2 Atoms -- Spatial Correlation Effects in | |
Multi—Transverse Mode Lasers -- Generation of Nonclassical Photons in a Josephson-Junction Cavity -- Polarization-Squeezed Light Generation in a Second Order Nonlinear Medium -- Reconstruction of External Forces in Quantum Noises of | |
Parametric Measuring System with Dissipation -- Squeezed State Generation in the Process of Light Interaction with a System of Free Electrons -- Diode Structure for Generation of Sub-Poissonian Photon Fluxes by Stark-Effect Blockade of | |
Emissions -- Control of Quantum States in Nonstationary Cavity QED Systems -- A Simulation of Pulsed Squeezing in Short Optical Fiber Loop Mirror -- Quantum Properties of the Traveling-Wave x(2) Process: Theory, Experiments, and | |
Applications | |
ISBN: | 9781461559238 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Physical chemistry , Applied mathematics , Engineering mathematics , Physics , Elementary particles (Physics) , Quantum field theory , Atoms , Mathematics , Applications of Mathematics , Elementary Particles, Quantum Field Theory , Theoretical, Mathematical and Computational Physics , Atomic, Molecular, Optical and Plasma Physics , Physical Chemistry |
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Call number: | SPRINGER-1997-9781461224464:ONLINE Show nearby items on shelf |
Title: | Control and Chaos |
Author(s): | |
Date: | 1997 |
Size: | 1 online resource (342 p.) |
Note: | 10.1007/978-1-4612-2446-4 |
Contents: | Understanding Complex Dynamics -- Triangulating Noisy Dynamical Systems -- Attractor Reconstruction and Control Using Interspike Intervals -- Modeling Chaos from Experimental Data -- Chaos in Symplectic Discretizations of the Pendulum |
and Sine-Gordon Equations -- Collapsing Effects in Computation of Dynamical Systems -- Bifurcations in the Falkner-Skan equation -- Some Characterisations of Low-dimensional Dynamical Systems with Time-reversal Symmetry -- Controlling | |
Complex Systems -- Control of Chaos by Means of Embedded Unstable Periodic Orbits -- Notch Filter Feedback Control for k-Period Motion in a Chaotic System -- Targeting and Control of Chaos -- Adaptive Nonlinear Control: A Lyapunov | |
Approach -- Creating and Targeting Periodic Orbits -- Dynamical Systems, Optimization, and Chaos -- Combined Controls for Noisy Chaotic Systems -- Complex Dynamics in Adaptive Systems -- Hitting Times to a Target for the Baker’s Map -- | |
Applications -- Controllable Targets Near a Chaotic Attractor -- The Dynamics of Evolutionary Stable Strategies -- Nitrogen Cycling and the Control of Chaos in a Boreal Forest Model -- Self-organization Dynamics in Chaotic Neural | |
Networks | |
ISBN: | 9781461224464 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematical Modelling : 8 |
Keywords: | Mathematics , Dynamics , Ergodic theory , System theory , Mathematics , Systems Theory, Control , Dynamical Systems and Ergodic Theory |
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Call number: | SPRINGER-1997-9781461219361:ONLINE Show nearby items on shelf |
Title: | Chaos in Discrete Dynamical Systems A Visual Introduction in 2 Dimensions |
Author(s): |
Ralph H Abraham |
Date: | 1997 |
Size: | 1 online resource (246 p.) |
Note: | 10.1007/978-1-4612-1936-1 |
Contents: | of the Book -- 1 Introduction -- 2 Basic concepts in 1D -- 3 Basic concepts in 2D -- 4 Absorbing Areas -- 5 Holes -- 6 Fractal Boundaries -- 7 Chaotic Contact Bifurcations -- 8 Conclusion -- Appendix 1 Notations -- A1.1 Formal logic |
-- A1.2 Set theory -- A1.3 Point set topology -- Appendix 2 Topological Dynamics -- A2.1 Trajectories and orbits -- A2.2 Inverse images -- A2.3 Fixed points -- A2.4 Periodic trajectories -- A2.5 Limit points -- A2.6 Stable sets, | |
attractors, and basins -- A2.7 Unstable sets and repellors -- A2.8 Chaotic attractors -- Appendix 3 Critical Curves -- A3.1 The zones -- A3.2 Critical points via calculus -- A3.3 Critical points via topology -- A3.4 The critical curves | |
-- A3.5 Absorbing areas -- Appendix 4 Synonyms -- Appendix 5 History, Part 1 -- A5.1 Early history -- A5.2 Finite difference equations -- A5.3 Functional equations -- A5.4 Poincaré -- A5.5 Independent contemporaries of Poincaré -- A5.6 | |
Birkhoff -- A5.7 Denjoy -- A5.8 The Russian school -- A5.9 The Japanese school -- A5.10 Conservative systems -- A5.11 The American school -- A5.12 Numerical methods and applied work -- A5.13 Iteration theory -- A5.14 The methods of | |
Liapunov -- A5.15 Periodic solutions -- A5.16 Control theory -- A5.17 Other applications -- A5.18 Conclusion -- A5.19 Historical Bibliography -- Appendix 6 History, Part 2 -- A6.1 Introduction -- A6.2 G.D. Birkhoff -- A6.3 Nonlinear | |
oscillations from 1925 -- A6.4 The Mandelstham-Andronov school -- A6.5 The Bogoliubov (or Kiev) school -- A6.6 Poincaré’s analyticity theorem -- A6.7 Myrberg’s contribution -- A6.8 Conclusion -- Appendix 7 Domains of the Figures -- | |
Frequently used references by code -- Bibliography by author | |
ISBN: | 9781461219361 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Dynamics , Ergodic theory , Physics , Mathematics , Dynamical Systems and Ergodic Theory , Analysis , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-1996-9789400902398:ONLINE Show nearby items on shelf |
Title: | Instabilities and Nonequilibrium Structures V |
Author(s): | |
Date: | 1996 |
Size: | 1 online resource (369 p.) |
Note: | 10.1007/978-94-009-0239-8 |
Contents: | Preface -- Preface -- I. Review Articles -- Transitions between Spatio-Temporal Patterns in Non Equilibrium Systems -- Galilean and Relativistic Nonlinear Wave Equations: An Hydrodynamical Tool? -- II. Instabilities and Pattern |
Formation -- Chaotically Induced Defect Diffusion -- Pattern Formation and Phase Turbulence in the Transverse Section of Lasers -- Long Wavelength Oscillatory Instability in Binary Fluids -- Multiple Front Propagation in a Potential | |
Non-Gradient System -- Pattern Selection and Diffusive Instability -- Monotonic Fronts of the Reaction-Diffusion Equation in one Space Dimension -- Poiseuille Flux of Hard Particles: Theory and Simulations -- Stationary Convection due | |
to Resistivity and Viscosity in a Cylindrical Plasma with a Free Boundary -- Ginzburg-Landau Equations for Oscillatory Convection in Oldroyd-B Fluids -- Laser Model with Periodic External Injected Signal and Noise: Small Net Gain Limit | |
-- Flow Transitions in Rayleigh-Benard Convection: Influence of Heating Rate -- III. Stochastic Effects -- Noise Induced Phase Transitions -- Competitive Coexistence in Biological Systems: Exact Analytical Results through a Quantum | |
Mechanical Analogy -- Effects of Disorder on Reaction-Diffusion Systems: An Analytical Approach -- Concerning the Noise Strength in Periodically driven Pattern Convection -- Quasi-Stationary Distribution and Gibbs Measure of Expanding | |
Systems -- Detailed Balance and Reversed Process for Macroscopic Systems -- IV. Statistical Mechanics and Applications -- Substancial Irreversibility in Quantum Cosmology -- Generalized Spectral Decompositions for a Class of | |
One-Dimensional Chaotic Maps -- Two-Photon Micromaser: From Trapping to Ideal Sqeezed States -- Thermodynamic Instabilities in Quantum Liquids -- Construction of Hamiltonian Structures for Dynamical Systems from Scratch -- V. Granular | |
Matter -- A Visit of Granular Matter -- A Dissipative Model for Parametric Waves in Granular Materials -- Simple Models for Fragmentation -- VI. Short Communications -- Chaos and Three-Frequency Resonances in a Dynamical System -- | |
Shape Transition in a Two-Dimension System of Bubbles -- Nonlinear Behavior and Trapped Dynamics in the Micromaser -- Analytical Study of the Codimension Two Bifurcations of the New Lorenz System -- A New Basis of Wavelets for Studying | |
Three Periodic Attractors -- Trehalose in Solution and Its Interaction with Water and Biological Structures. Molecular Dynamics Simulation | |
ISBN: | 9789400902398 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Nonlinear Phenomena and Complex Systems: 1 |
Keywords: | Physics , Partial differential equations , Continuum physics , Mechanics , Statistical physics , Dynamical systems , Physics , Classical Continuum Physics , Statistical Physics, Dynamical Systems and Complexity , Theoretical, Mathematical and Computational Physics , Mechanics , Partial Differential Equations |
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Call number: | SPRINGER-1996-9783642614538:ONLINE Show nearby items on shelf |
Title: | Nonlinear Differential Equations and Dynamical Systems |
Author(s): |
Ferdinand Verhulst |
Date: | 1996 |
Edition: | Second, Revised and Expanded Edition |
Size: | 1 online resource (306 p.) |
Note: | 10.1007/978-3-642-61453-8 |
Contents: | 1 Introduction -- 1.1 Definitions and notation -- 1.2 Existence and uniqueness -- 1.3 Gronwall’s inequality -- 2 Autonomous equations -- 2.1 Phase-space, orbits -- 2.2 Critical points and linearisation -- 2.3 Periodic solutions -- 2.4 |
First integrals and integral manifolds -- 2.5 Evolution of a volume element, Liouville’s theorem -- 2.6 Exercises -- 3 Critical points -- 3.1 Two-dimensional linear systems -- 3.2 Remarks on three-dimensional linear systems -- 3.3 | |
Critical points of nonlinear equations -- 3.4 Exercises -- 4 Periodic solutions -- 4.1 Bendixson’s criterion -- 4.2 Geometric auxiliaries, preparation for the Poincaré-Bendixson theorem -- 4.3 The Poincaré-Bendixson theorem -- 4.4 | |
Applications of the Poincaré-Bendixson theorem -- 4.5 Periodic solutions in ?n -- 4.6 Exercises -- 5 Introduction to the theory of stability -- 5.1 Simple examples -- 5.2 Stability of equilibrium solutions -- 5.3 Stability of periodic | |
solutions -- 5.4 Linearisation -- 5.5 Exercises -- 6 Linear Equations -- 6.1 Equations with constant coefficients -- 6.2 Equations with coefficients which have a limit -- 6.3 Equations with periodic coefficients -- 6.4 Exercises -- 7 | |
Stability by linearisation -- 7.1 Asymptotic stability of the trivial solution -- 7.2 Instability of the trivial solution -- 7.3 Stability of periodic solutions of autonomous equations -- 7.4 Exercises -- 8 Stability analysis by the | |
direct method -- 8.1 Introduction -- 8.2 Lyapunov functions -- 8.3 Hamiltonian systems and systems with first integrals -- 8.4 Applications and examples -- 8.5 Exercises -- 9 Introduction to perturbation theory -- 9.1 Background and | |
elementary examples -- 9.2 Basic material -- 9.3 Naïve expansion -- 9.4 The Poincaré expansion theorem -- 9.5 Exercises -- 10 The Poincaré-Lindstedt method -- 10.1 Periodic solutions of autonomous second-order equations -- 10.2 | |
Approximation of periodic solutions on arbitrary long time-scales -- 10.3 Periodic solutions of equations with forcing terms -- 10.4 The existence of periodic solutions -- 10.5 Exercises -- 11 The method of averaging -- 11.1 | |
Introduction -- 11.2 The Lagrange standard form -- 11.3 Averaging in the periodic case -- 11.4 Averaging in the general case -- 11.5 Adiabatic invariants -- 11.6 Averaging over one angle, resonance manifolds -- 11.7 Averaging over more | |
than one angle, an introduction -- 11.8 Periodic solutions -- 11.9 Exercises -- 12 Relaxation Oscillations -- 12.1 Introduction -- 12.2 Mechanical systems with large friction -- 12.3 The van der Pol-equation -- 12.4 The Volterra-Lotka | |
equations -- 12.5 Exercises -- 13 Bifurcation Theory -- 13.1 Introduction -- 13.2 Normalisation -- 13.3 Averaging and normalisation -- 13.4 Centre manifolds -- 13.5 Bifurcation of equilibrium solutions and Hopf bifurcation -- 13.6 | |
Exercises -- 14 Chaos -- 14.1 Introduction and historical context -- 14.2 The Lorenz-equations -- 14.3 Maps associated with the Lorenz-equations -- 14.4 One-dimensional dynamics -- 14.5 One-dimensional chaos: the quadratic map -- 14.6 | |
One-dimensional chaos: the tent map -- 14.7 Fractal sets -- 14.8 Dynamical characterisations of fractal sets -- 14.9 Lyapunov exponents -- 14.10 Ideas and references to the literature -- 15 Hamiltonian systems -- 15.1 Introduction -- | |
15.2 A nonlinear example with two degrees of freedom -- 15.3 Birkhoff-normalisation -- 15.4 The phenomenon of recurrence -- 15.5 Periodic solutions -- 15.6 Invariant tori and chaos -- 15.7 The KAM theorem -- 15.8 Exercises -- Appendix | |
1: The Morse lemma -- Appendix 2: Linear periodic equations with a small parameter -- Appendix 3: Trigonometric formulas and averages -- Appendix 4: A sketch of Cotton’s proof of the stable and unstable manifold theorem 3.3 -- Appendix | |
5: Bifurcations of self-excited oscillations -- Appendix 6: Normal forms of Hamiltonian systems near equilibria -- Answers and hints to the exercises -- References | |
ISBN: | 9783642614538 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Dynamics , Ergodic theory , Physics , Statistical physics , Dynamical systems , Applied mathematics , Engineering mathematics , Mathematics , Analysis , Dynamical Systems and Ergodic Theory , Numerical and Computational Physics , Statistical Physics, Dynamical Systems and Complexity , Appl.Mathematics/Computational Methods of Engineering |
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Call number: | SPRINGER-1996-9783540706991:ONLINE Show nearby items on shelf |
Title: | Nonlinear Physics of Complex Systems Current Status and Future Trends |
Author(s): | |
Date: | 1996 |
Size: | 1 online resource (390 p.) |
Note: | 10.1007/BFb0105423 |
Contents: | Bounds for properties of complex systems -- Instability without instability? -- Spontaneous density fluctuations in granular flow and traffic -- Pattern selection as a nonlinear eigenvalue problem -- Conditional probability |
distributions of a turbulent cascade -- The couette-taylor flow: A paradigmatic system for instabilities, pattern formation and routes to chaos -- Instabilities in smectic films -- Why air bubbles in water glow so easily -- Competition | |
of growth patterns in directed growth -- Asymptotic dynamics in directional solidification -- Chemical waves in media with complex anisotropy -- Experiments on excitation waves -- Localized turbulence and cellular structures in systems | |
with global coupling -- Bifurcation theory of meandering spiral waves -- Future trends in synergetics -- Synergetic hardware concepts for self-organizing neural networks -- Nonlinear time series analysis — Potentials and limitations -- | |
Time series analysis of scalar time-delay systems -- Control of chaos by self-adapted delayed feedback -- Mode analysis of the generalized rössler system -- Combinatorial optimization with coupled chemical reaction cells -- On | |
superimposed dynamical multifractals -- The thermodynamics of random walks with applications to fractals and chaos -- Brownian rectifiers: How to convert brownian motion into directed transport -- Stochastics of pattern formation -- | |
Dynamics in superconducting arrays of Josephson junctions -- Scanning probe microscopy of self-organized structure formation in semiconductor systems -- Impurity breakdown induced current filaments in n-GaAs -- Lattice-gas approach to | |
collective transport phenomena in biological pattern formation -- Simulation of chemotaxis-equations in two space dimensions -- Dynamic instability and oscillations of microtubules | |
ISBN: | 9783540706991 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 476 |
Keywords: | Physics , Physical chemistry , Thermodynamics , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Thermodynamics , Mathematical Methods in Physics , Numerical and Computational Physics , Physical Chemistry |
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Call number: | SPRINGER-1995-9783642793295:ONLINE Show nearby items on shelf |
Title: | Bifurcation and Chaos Theory and Applications |
Author(s): | |
Date: | 1995 |
Size: | 1 online resource (272 p.) |
Note: | 10.1007/978-3-642-79329-5 |
Contents: | Quantum Chaos and Ergodic Theory -- 1. Introduction -- 2. Definition of Quantum Chaos -- 3. The Time Scales of Quantum Dynamics -- 4. The Quantum Steady State -- 5. Concluding Remarks -- References -- On the Complete Characterization |
of Chaotic Attractors -- 1. Introduction -- 2. Scaling Behavior -- 3. Unified Approach -- 4. Extensions -- 5 Conclusions -- References -- New Numerical Methods for High Dimensional Hopf Bifurcation Problems -- 1. Introduction -- 2. | |
Static Bifurcation and Pseudo-Arclength Method -- 3. The Numerical Methods for Hopf Bifurcation -- 4. Examples -- References -- Catastrophe Theory and the Vibro-Impact Dynamics of Autonomous Oscillators -- 1. Introduction -- 2. | |
Generalities on Vibro-Impact Dynamics -- 3. The Geometry of Singularity Subspaces -- 4. Continuity of the Poincaré Map of the S/U Oscillator -- References -- Codimension Two Bifurcation and Its Computational Algorithm -- 1. | |
Introduction -- 2. Bifurcations of Fixed Point -- 3. Computational Algorithms -- 4. Numerical Examples -- 5. Concluding Remarks -- References -- Chaos and Its Associated Oscillations in Josephson Circuits -- 1. Introduction -- 2. Model | |
of Josephson Junction -- 3. Chaos in a Forced Oscillation Circuit -- 4. Autonomous Josephson Circuit -- 5. Distributed Parameter Circuit -- 6. Conclusion -- References -- Chaos in Systems with Magnetic Force -- 1. Introduction -- 2. | |
System of Two Conducting Wires -- 3. Multi-Equilibrium Magnetoelastic Systems -- 4. Magnetic Levitation Systems -- References -- Bifurcation and Chaos in the Helmholtz-Duffing Oscillator -- 1. Mechanical System and Mathematical Model | |
-- 2. Behaviour Chart and Characterization of Chaotic Response -- 3. Prediction of Local Bifurcations of Regular Solutions -- 4. Geometrical Description of System Response Using Attractor-Basin Portraits and Invariant Manifolds -- 5. | |
Conclusions -- References -- Bifurcations and Chaotic Motions in Resonantly Excited Structures -- 1. Introduction -- 2. Nonlinear Structural Members -- 3. Resonant Motions of Rectangular Plates with Internal and External Resonances -- | |
4. Summary and Conclusions -- References -- Non-Linear Behavior of a Rectangular Plate Exposed to Airflow -- 1. Introduction -- 2. Mathematical Model -- 3. Threshold Determination of Periodic Oscillations -- 4. Dynamics Past the Hopf | |
Bifurcation Point -- 5. Summary and Concluding Remarks -- References | |
ISBN: | 9783642793295 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Chemometrics , Statistical physics , Dynamical systems , Engineering , Computational intelligence , Physics , Statistical Physics, Dynamical Systems and Complexity , Mathematical Methods in Physics , Numerical and Computational Physics , Engineering, general , Math. Applications in Chemistry , Computational Intelligence |
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Call number: | SPRINGER-1995-9783642487194:ONLINE Show nearby items on shelf |
Title: | Nonlinear and Convex Analysis in Economic Theory |
Author(s): | |
Date: | 1995 |
Size: | 1 online resource (306 p.) |
Note: | 10.1007/978-3-642-48719-4 |
Contents: | The Bargaining Set in Large Finite NTU Exchange Economies -- Epi-convergence of Integral Functionals Defined on the Space of Measures -- Multiple—Phase Economic Dynamics -- Stabilizing Unstable Systems -- On First Order Sufficient |
Conditions for Constrained Optima -- Expectations Driven Nonlinear Business Cycles -- Cores, Almost Competitive Prices, and the Approximate Optimality of Walrasian Allocations in Discrete Spaces -- Cooperative Processing of Information | |
-- A Survey of Stochastic Differential Equations -- Stability and Oscillations in a Dynamical Kaldorian Model -- On Large Games with Finite Actions: A Synthetic Treatment -- On a Method Constructing Morse Flows -- On Covering Theorems | |
of a Simplex and Their Generalizations -- Positive Nonlinear Systems in Economics -- Option Replication Cost with Transaction Costs -- Fixed Paint and Finite Dimensional Invariant Subspace Properties for Semigroups and Amenability -- | |
Pricing of Bonds and their Derivatives with Multi-factor Stochastic Interest Rates: A Note -- Non-Linearity and Business Cycles in a Two-Sector Equilibrium Model: An Example with Cobb-Douglas Production Functions -- Methods of Duals in | |
Nonlinear Analysis — Lipschitz Duals of Banach Spaces and Some Applications — -- Swimming below Icebergs -- Comparative Statics and Algorithms for Finding Economic Equilibria -- Classification of chaos and a large deviation theory for | |
compact dynamical systems -- On a Perturbation of Dynamic Programming -- Bargaining Sets in Continuum Economies -- Conference Information | |
ISBN: | 9783642487194 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Economics and Mathematical Systems: 419 |
Keywords: | Mathematics , Applied mathematics , Engineering mathematics , Statistics , Economic theory , Mathematics , Applications of Mathematics , Economic Theory/Quantitative Economics/Mathematical Methods , Statistics for Business/Economics/Mathematical Finance/Insurance |
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Call number: | SPRINGER-1995-9783540492214:ONLINE Show nearby items on shelf |
Title: | Third Granada Lectures in Computational Physics Proceedings of the III Granada Seminar on Computational Physics Held at Granada, Spain, 5–10 September 1994 |
Author(s): | |
Date: | 1995 |
Size: | 1 online resource (346 p.) |
Note: | 10.1007/3-540-59178-8 |
Contents: | Computational field theory and pattern formation -- Simulating granular media on the computer -- Some physical and computational aspects of self-organized criticality -- Critical percolation with moving disks -- Fourier techniques in |
numerical methods for evolutionary problems -- A fast algorithm for the generation of random numbers with exponential and normal distributions -- Numerical simulations of a nonlinear Klein-Gordon model. Applications -- Topics on | |
chaotic dynamics -- Multistable steady states and oscillations in a suface reaction model -- Comparation of two Fokker-Planck modelings for a master equation -- Computational studies of the complex Ginzburg-Landau equation and its | |
non-equilibrium potential -- Deterministic simulation of domain pattern formation under instantaneous nucleation conditions -- Morphological instabilities of a nematic-smectic B interface -- Dynamic time rescaled Monte Carlo algorithm | |
-- Pattern formation in convection of rotating fluids -- Codimension two bifurcation in unidimensional heating -- Cylinders and wheels rolling into Chaos -- On the transition to columnar convection -- Finite temperature dc conductance | |
of random dimer superlattices -- A multigrid approach to parallel simulations in nonlinear optics -- Surface electromagnetic waves on index-matched interfaces -- Conservative numerical schemes for Euler-Lagrange equations -- | |
Suppression of chaotic behaviour in models of chemical chaos -- Perturbing variables in poincaré sections to suppress chaos -- Ergodic theory for unidimensional Jacobi Matrices -- Order in binary sequences and the properties of the | |
routes to chaos | |
ISBN: | 9783540492214 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 448 |
Keywords: | Physics , Quantum physics , Thermodynamics , Quantum computers , Spintronics , Statistical physics , Dynamical systems , Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Thermodynamics , Statistical Physics, Dynamical Systems and Complexity , Quantum Information Technology, Spintronics , Quantum Physics |
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Call number: | SPRINGER-1995-9783540447221:ONLINE Show nearby items on shelf |
Title: | Chaos — The Interplay Between Stochastic and Deterministic Behaviour Proceedings of the XXXIst Winter School of Theoretical Physics Held in Karpacz, Poland 13–24 February 1995 |
Author(s): | |
Date: | 1995 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource (578 p.) |
Note: | 10.1007/3-540-60188-0 |
Contents: | Stochastic processes from deterministic dynamics -- The interplay of classical and quantum stochastics: Diffusion, measurement and filtering -- Event enhanced and piecewise deterministic quantum theory or the right jump at the right |
place -- Wave mechanics: The interplay between stochastics and quanta -- Lévy processes and relativistic quantum dynamics -- Quantum coherence and decoherence in a classically chaotic experimentally accessible quantum optical system -- | |
Anomalous diffusion, spontaneous localizations and the correspondence principle -- Quantum open systems as random classical dynamical systems -- Large-Scale Structure of the Universe and Asymptotics of Burgers' Turbulence with | |
Heavy-tailed Dependent Data Yiming Hue and -- Convergence of iterative methods in perturbation theory -- Eigenfunction expansions for time dependent hamiltonians -- Strange attractors in higher-dimensional phase space -- Mathematical | |
classification of complete chaos -- Anomalous diffusion and Lévy statistics in intermittent chaotic systems -- Classical and quantum chaotic scattering -- From fractals to stochastic differential equations -- Dissipative structures and | |
weak turbulence -- Entropy and quantum characteristic exponents. steps towards a quantum pesin theory -- Rigorous numerics of chaotic dynamical systems -- The effect of symmetry breaking on random walks and brownian motion -- Quantum | |
dynamical entropy -- Strange attractors in nonlinear oscillators -- Wave packet propagation, nonlinear dynamics, and constructing Chaotic Eigenstates -- Chaotic dynamics of weakly nonlinear systems -- Computer simulation of Lévy | |
?-stable variables and processes -- From quantum physics to probability theory and back -- Stochastic approach to many bosons physics -- Ionization of Rydberg atoms in a low frequency field: Modelling by maps of transition to chaotic | |
behavior -- Periodic perturbations of chaotic dynamics -- p-adic stochastics with applications to the Einstein-Podolsky-Rosen Paradox -- Quantum chaos: double resonance model and its physical applications -- Asymptotic behavior of | |
generalized Levy walks -- Stochastic Moore loop space -- Relativistic chaos in time-driven linear and nonlinear oscillators -- Applications of quantum characteristic exponents -- Asymptotic properties of the Fokker-Planck equation -- | |
Spacetime distortion as a reason for quantum stochasticity -- Divergences of the semiclassical S-matrix beyond hyperbolic systems -- Disturbance propagation in coupled map lattices -- Lévy-Stable and extreme value distributions in | |
modelling of dynamical phenomena in complex physical systems -- Wigner or non-wigner: That is the question -- Random matrices of circular symplectic ensemble | |
ISBN: | 9783540447221 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 457 |
Keywords: | Physics , Probabilities , Quantum physics , Thermodynamics , Quantum computers , Spintronics , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Thermodynamics , Quantum Information Technology, Spintronics , Quantum Physics , Probability Theory and Stochastic Processes |
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Call number: | SPRINGER-1994-9783642787935:ONLINE Show nearby items on shelf |
Title: | Dynamical Systems An Introduction with Applications in Economics and Biology |
Author(s): |
Pierre N. V Tu |
Date: | 1994 |
Edition: | Second Revised and Enlarged Edition |
Size: | 1 online resource (314 p.) |
Note: | 10.1007/978-3-642-78793-5 |
Contents: | 1 Introduction -- 2 Review of Ordinary Differential Equations -- 2.1 First Order Linear Differential Equations -- 2.2 Second and Higher Order Linear Differential Equations -- 2.3 Higher Order Linear Differential Equations with |
Constant Coefficients -- 2.6 Conclusion -- 3 Review of Difference Equations -- 3.1 Introduction -- 3.2 First Order Difference Equations -- 3.3 Second Order Linear Difference Equations -- 3.4 Higher Order Difference Equations -- 3.5 | |
Stability Conditions -- 3.6 Economic Applications -- 3.7 Concluding Remarks -- 4 Review of Some Linear Algebra -- 4.1 Vector and Vector Spaces -- 4.2 Matrices -- 4.3 Determinant Functions -- 4.4 Matrix Inversion and Applications -- 4.5 | |
Eigenvalues and Eigenvectors -- 4.6 Quadratic Forms -- 4.7 Diagonalization of Matrices -- 4.8 Jordan Canonical Form -- 4.9 Idempotent Matrices and Projection -- 4.10 Conclusion -- 5 First Order Differential Equations Systems -- 5.1 | |
Introduction -- 5.2 Constant Coefficient Linear Differential Equation (ODE) Systems -- 5.3 Jordan Canonical Form of ODE Systems -- 5.4 Alternative Methods for Solving ? = Ax -- 5.5 Reduction to First Order of ODE Systems -- 5.6 | |
Fundamental Matrix -- 5.7 Stability Conditions of ODE Systems -- 5.8 Qualitative Solution: Phase Portrait Diagrams -- 5.9 Some Economic Applications -- 6 First Order Difference Equations Systems -- 6.1 First Order Linear Systems -- 6.2 | |
Jordan Canonical Form -- 6.3 Reduction to First Order Systems -- 6.4 Stability Conditions -- 6.5 Qualitative Solutions: Phase Diagrams -- 6.6 Some Economic Applications -- 7 Nonlinear Systems -- 7.1 Introduction -- 7.2 Linearization | |
Theory -- 7.3 Qualitative Solution: Phase Diagrams -- 7.4 Limit Cycles -- 7.5 The Liénard-Van der Pol Equations and the Uniqueness of Limit Cycles -- 7.6 Linear and Nonlinear Maps -- 7.7 Stability of Dynamical Systems -- 7.8 Conclusion | |
-- 8 Gradient Systems, Lagrangean and Hamiltonian Systems -- 8.1 Introduction -- 8.2 The Gradient Dynamic Systems (GDS) -- 8.3 Lagrangean and Hamiltonian Systems -- 8.4 Hamiltonian Dynamics -- 8.5 Economic Applications -- 8.6 | |
Conclusion -- 9 Simplifying Dynamical Systems -- 9.1 Introduction -- 9.2 Poincaré Map -- 9.3 Floquet Theory -- 9.4 Centre Manifold Theorem (CMT) -- 9.5 Normal Forms -- 9.6 Elimination of Passive Coordinates -- 9.7 Liapunov-Schmidt | |
Reduction -- 9.8 Economic Applications and Conclusions -- 10 Bifurcation, Chaos and Catastrophes in Dynamical Systems -- 10.1 Introduction -- 10.2 Bifurcation Theory (BT) -- 10.3 Chaotic or Complex Dynamical Systems (DS) -- 10.4 | |
Catastrophe Theory (C.T.) -- 10.5 Concluding Remarks -- 11 Optimal Dynamical Systems -- 11.1 Introduction -- 11.2 Pontryagin’s Maximum Principle -- 11.3 Stabilization Control Models -- 11.4 Some Economic Applications -- 11.5 Asymptotic | |
Stability of Optimal Dynamical Systems (ODS) -- 11.6 Structural Stability of Optimal Dynamical Systems -- 11.7 Conclusion -- 12 Some Applications in Economics and Biology -- 12.1 Introduction -- 12.2 Economic Applications of Dynamical | |
Systems -- 2.1. Flexible Multiplier-Accelerator Models -- 2.2. Kaldor’s Type of Flexible Accelerator Models -- 2.3. Goodwin’s Class Struggle Model -- 2.1. Two Sector Models -- 2.2. Economic Growth with Money -- 2.3. Optimal Economic | |
Growth Models -- 2.4. Endogenous Economic Growth Models -- 12.3 Dynamical Systems in Biology -- 12.4 Bioeconomics and Natural Resources -- 12.5 Conclusion | |
ISBN: | 9783642787935 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , System theory , Probabilities , Biomathematics , Statistical physics , Dynamical systems , Statistics , Economic theory , Physics , Statistical Physics, Dynamical Systems and Complexity , Probability Theory and Stochastic Processes , Systems Theory, Control , Economic Theory/Quantitative Economics/Mathematical Methods , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences |
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Call number: | SPRINGER-1994-9783642752957:ONLINE Show nearby items on shelf |
Title: | Wave Turbulence Under Parametric Excitation Applications to Magnets |
Author(s): |
Victor S L’vov |
Date: | 1994 |
Size: | 1 online resource (330 p.) |
Note: | 10.1007/978-3-642-75295-7 |
Contents: | 1 Introduction to Nonlinear Wave Dynamics -- 1.1 Hamiltonian Method for Description of Waves in a Continuous Medium -- 1.2 Dimensional Estimation of Hamiltonian Coefficients -- 1.3 Dynamic Equations of Motion for Weakly |
Non-Conservative Wave Systems -- 1.4 Three-Wave Processes -- 1.5 Four-Wave Processes -- 2 The General Properties of Magnetodielectrics -- 2.1 Classification of Substances by Their Magnetic Properties -- 2.2 Nature of Interaction of | |
Magnetic Moments -- 2.3 Energy of Ferromagnets in the Continuum Approximation -- 2.4 Magnetic and Crystallographic Structure of Some Magnets -- 3 Spin Waves (Magnons) in Magnetically Ordered Dielectrics -- 3.1 Hamiltonian of Magnons in | |
Ferromagnets (FM) -- 3.2 Hamiltonian Function of Magnons in Antiferromagnets -- 3.3 Comments at the Road Fork -- 3.4 Calculation of Magnon Hamiltonian -- 4 Nonlinear Dynamics of Narrow Packets of Spin Waves -- 4.1 Elementary Processes | |
of Spin Wave Interaction -- 4.2 Self-Focusing of Magnetoelastic Waves in Antiferromagnets (AFM) -- 4.3 Methods of Parametric Excitation of Spin Waves -- 5 Stationary Nonlinear Behavior of Parametrically Excited Waves. Basic S-Theory -- | |
5.1 History of the Problem -- 5.2 Statement of a Problem of Nonlinear Wave Behavior -- 5.3 Phase Relations and Mechanisms for Amplitude Limitation -- 5.4 Basic Equations of Motion in the S-Theory -- 5.5 Ground State of System of | |
Interacting Parametric Waves -- 6 Advanced S-Theory: Supplementary Sections -- 6.1 Ground State Evolution of System with Increasing Pumping Amplitude -- 6.2 Influence of Nonlinear Damping on Parametric Excitation -- 6.3 Parametric | |
Excitation Under the Feedback Effect on Pumping -- 6.4 Nonlinear Theory of Parametric Wave Excitation at Finite Temperatures -- 6.5 Introduction to Spatially Inhomogeneous S-Theory -- 6.6 Nonlinear Behavior of Parametric Waves from | |
Various Branches. Asymmetrical S-Theory -- 6.7 Parametric Excitation of Waves by Noise Pumping -- 7 Non-Stationary Behavior of Parametrically Excited Waves -- 7.1 Spectrum of Collective Oscillations (CO) -- 7.2 Linear Theory of CO | |
Resonance Excitation -- 7.3 Threshold Under Periodic Modulation of Dispersion Law -- 7.4 Large-Amplitude Collective Oscillations and Double Parametric Resonance -- 7.5 Transient Processes when Pumping is Turned on -- 7.6 Parametric | |
Excitation Under Sweeping of Wave Frequency -- 7.7 Problems -- 8 Secondary Parametric Wave Turbulence -- 8.1 Instability of Ground State and Auto-Oscillations -- 8.2 Route to Chaos in Dynamic Systems -- 8.3 Geometry of Attractors of | |
Secondary Parametric Turbulence of Magnons -- 8.4 Secondary Turbulence and Collapses in Narrow Parametric Wave Packets -- 9 Experimental Investigations of Parametrically Excited Magnons -- 9.1 Experimental Investigations of Parametric | |
Instability of Magnons -- 9.2 Nonlinear Behavior of Parametric Magnons — General Information -- 9.3 Investigations of Stationary State With One Group of Pairs -- 9.4 Electromagnetic Radiation of Parametric Magnons -- 9.5 Collective | |
Resonance of Parametric Magnons -- 9.6 Stepwise Excitation in YIG -- 9.7 Conditions of Excitation of Auto-Oscillations of Magnons -- 9.8 Effect of Radio-Frequency Field Modulation on Parametric Resonance -- 9.9 Double Parametric | |
Resonance and Inhomogeneous Collective Oscillations of Magnons -- 9.10 Parametric Excitation of Magnons Under Noise Modulation of their Frequencies -- 10 Nonlinear Kinetics of Parametrically Excited Waves -- 10.1 General Equations -- | |
10.2 Limit of the S-Theory -- 10.3 Nonlinear Theory of Parametric Excitation of Waves in Random Media -- 10.4 Consistent Nonlinear Theory for Parametric Excitation of Waves -- References | |
ISBN: | 9783642752957 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Fluids , Acoustics , Magnetism , Magnetic materials , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Fluid- and Aerodynamics , Acoustics , Magnetism, Magnetic Materials |
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Call number: | SPRINGER-1994-9781489909640:ONLINE Show nearby items on shelf |
Title: | Hamiltonian Mechanics Integrability and Chaotic Behavior |
Author(s): | |
Date: | 1994 |
Size: | 1 online resource (422 p.) |
Note: | 10.1007/978-1-4899-0964-0 |
Contents: | Invited papers -- Non-integrability criterion of Hamiltonian systems based on Ziglin’s Theorem and its relation to the singular point analysis -- Averaging under fast quasiperiodic forcing -- Natural boundaries of normalizing |
transformations -- Singular perturbation in Hamiltonian Mechanics -- The structure of Chaos -- From Integrability to Chaos: Examples of interrelations between physics and dynamics for minor bodies in the solar system -- Successive | |
elimination of harmonics: A way to explore the resonant structure of a Hamiltonian system -- Periodic solutions of nonlinear Schrodinger equations and the Nash-Moser method -- On the tendency toward ergodicity with increasing number of | |
degrees of freedom in Hamiltonian systems -- Gibbsian check of the validity of Gibbsian calculation through dynamical observables -- Adiabatic invariants and time scales for energy sharing in models of classical gases -- Numerical | |
integration of Hamiltonian systems in the presence of additional integrals: Application of the observer method -- Symmetries and topology of dynamical systems with two degrees of freedom -- Contributed papers -- Variational criteria | |
for nonintegrability and chaos in Hamiltonian systems -- Exponentially small splitting in Hamiltonian systems -- Integrable and chaotic behaviour in the Paul trap and the hydrogen atom in a generalized van der Waals potential -- Recent | |
applications of Hamiltonian dynamics to accelerator physics -- Singularity analysis of 2D complexified Hamiltonian systems -- Perturbation theory for systems without global action-angle coordinates -- A non-integrability test for | |
perturbed Hamiltonian systems of two degrees of freedom -- Librational invariant surfaces in the spin-orbit problem -- Normalization of resonant Hamiltonians -- Effective stability for periodically perturbed Hamiltonian systems -- | |
Bihamiltonian systems and Lax representation -- An efficient method for computing periodic orbits of conservative dynamical systems -- The dynamics of trace maps -- Scars in groups of eigenfunctions -- A model of Poincaré and rigorous | |
proof of the second element of thermodynamics from mechanics -- Nekhoroshev and KAM theorems revisited via a unified approach -- Dynamics and k-symmetries -- Quantal-classical mixed mode dynamics of coupled oscillators -- The | |
three-wave interaction of four waves revisited: A Lax pair and possibly general solution -- Chaotic Friedman-Robertson-Walker Cosmology coupled to a real free massive scalar field in Maupertuis picture -- The method of modular | |
smoothing -- Soliton chaos in elastic chains and turbulence -- Stochastic webs with fourfold rotation symmetry -- Antibrackets and supersymmetric Mechanics -- Integrable systems and confocal quadrics -- An elementary approach to | |
integrability condition for the Euler equations on Lie algebra so(4) -- Integrable Hamiltonian systems and Poisson actions with simple singular points -- Dynamics and bifurcations in two-parameter unfolding of a Hamiltonian system with | |
a homoclinic orbit to a saddle-center -- Self-similar isomonodromy solutions of nonlinear Schrödinger equation -- A method for visualizing the 4-dimensional space of section in 3-D Hamiltonian systems -- Non-adiabatic aspects of | |
time-dependent Hamiltonian systems -- A study of a finite-dimensional dynamical system approximating the evolution of quantum averages | |
ISBN: | 9781489909640 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series B: Physics: 331 |
Keywords: | Physics , Gravitation , Observations, Astronomical , Astronomy , Physics , Astronomy, Observations and Techniques , Classical and Quantum Gravitation, Relativity Theory , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-1993-9783642777691:ONLINE Show nearby items on shelf |
Title: | Nonlinear Processes in Physics Proceedings of the III Potsdam — V Kiev Workshop at Clarkson University, Potsdam, NY, USA, August 1–11, 1991 |
Author(s): | |
Date: | 1993 |
Size: | 1 online resource (343 p.) |
Note: | 10.1007/978-3-642-77769-1 |
Contents: | I Nonlinear Equations -- Multisoliton-like Solutions of Wave Propagation in Periodic Nonlinear Structures -- Complex Deformation of Integrable Hamiltonians over Generalized Jacobi Varieties -- Collective Coordinates by a Variational |
Approach: Problems for Sine Gordon and ?4 Models -- Spatiotemporal Chaos in the Nonlinear Three Wave Interaction -- On the Instability of the Static Soliton-like “Bubbles” -- Symplectic and Hamiltonian Structures of Nonlinear Evolution | |
Equations -- A Fuchs Extension to the Painlevé Test -- Modulation Equations for Nearly Integrable PDEs with Periodic Boundary Conditions -- Spectrum of Domain Wall Excitations in YIG -- Interaction of Defects in Nonlinear Dissipative | |
Fields -- On the Analytic Degenerate Dispersion Laws -- II Inverse Scattering Transforms -- Breaking Solitons. Systems of Hydrodynamic Type -- Real and Virtual Multidimensional Solitons -- Resolvent Approach for the Nonstationary | |
Schrödinger Equation with Line-Type Potential -- Lattice Construction of Quantum Integrable Systems -- Combining Dressing and Nonlocality -- Initial Boundary-Value Problems for Soliton Equations -- Non-Perturbative Two-Dimensional | |
Quantum Gravity and the Isomonodromy Method -- The Action of the Virasoro Nonisospectral KdV Symmetries of the Whitham Equations -- A Generalized Sato’s Equation of the KP Theory and Weyl Algebra -- Quasirelativistic Analogs of Lax | |
Equations -- n × n Zakharov-Shabat System of the Form (d?/dx)(z2 ? 1/z2)J? + (zQ + P + R/z)? -- Homoclinic Orbits and Bäcklund Transformations for the Doubly Periodic Davey-Stewartson Equation -- Volterra Operator Algebra for Zero | |
Curvature Representation Universality of KP -- Calculation of All Commutation Relations Among Scattering Data Without Using the R-Matrix Approach -- Fluctuating Solitons of the KdV Hierarchy -- The Periodic Fixed Points of Bäcklund | |
Transformations -- IST for KPI -- III Plasmas -- A Physical Model for Nonlinear, Supersonic Equatorial Bubbles -- Nonlinear Dynamics of Electron Cyclotron Heated Plasmas -- Nonlinear Evolution of Alfvén Waves in Space Plasmas -- Alfvén | |
Solitons and the DNLS Equation -- On the Analytical Theory for Self-Focusing of Radiation -- Ionospheric Langmuir Turbulence Driven by an Electromagnetic Pump Below the Upper-Hybrid Frequency -- Mode Conversions in Ionospheric | |
Modification Experiments -- On the Superstrong Wave Collapse -- A Moving Boundary Problem in Plasma Physics -- Proton-Whistler Interactions in the Radiation Belts -- IV Nonlinear Optics -- Optical Turbulence in Semiconductor Lasers -- | |
Chaotic Dynamics Due to Competition Among Degenerate Modes in a Ring-Cavity Laser -- Quantum Self Phase Modulation in Optical Fibres -- Quantum Groups: Q-Boson Theories of Integrable Models and Applications in Non-Linear Optics -- | |
Perturbation Method and Optical Solitons -- Birefringent Optical Fibers: Modulational Instability in a Near-Integrable System -- Rigorous Results in Quantum Theory of Stimulated Raman Scattering -- Bäcklund Transformations as Physical | |
Equations -- Level Splitting and Band Formation of Dark Soliton Eigenvalues -- Soliton Propagation in a Random Medium -- V Hydrodynamics and Turbulence -- Length Scales and the Navier-Stokes Equations -- Local and Nonlocal Transfer of | |
Motion Integrals in Wave Turbulence -- Weak and Strong Turbulence in the CGL Equation -- Numerical Test of a Weak Turbulence Approximation for an Electromagnetically Driven Langmuir Turbulence -- Drift Wave Vortices in Inhomogeneous | |
Plasmas -- Solitons on a Vortex Filament with Axial Flow -- Lagrangian Statistics of Turbulence -- Pattern Formation Via Resonant Interactions in Fluid Flows -- Length Scale of Vortices and Mode Competition in Quasi 2D Shear Flows -- | |
Dynamics of Vortex-Current Filaments in MHD Plasma -- Success of Arnol’d’s Method in a Hierarchy of Ocean Models -- Wavelets and Two Dimensional Turbulence -- VI Inverse Scattering Problems -- Spectral Theory of Linear ?-Matrices and | |
the Solution of Certain Nonlinear Algebraic and Functional Equations -- Nonlinear Acoustic Tomography -- Spectral Transform for Nonlinear Evolution Equations with N Space Dimensions -- Index of Contributors | |
ISBN: | 9783642777691 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Mathematical analysis , Analysis (Mathematics) , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Analysis |
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Call number: | SPRINGER-1992-9783642847745:ONLINE Show nearby items on shelf |
Title: | Nonlinearity with Disorder Proceedings of the Tashkent Conference, Tashkent, Uzbekistan, October 1–7, 1990 |
Author(s): | |
Date: | 1992 |
Size: | 1 online resource (311 p.) |
Note: | 10.1007/978-3-642-84774-5 |
Contents: | I Mathematical and Statistical Aspects -- Linear Chaos -- Second-Order Perturbations for Solitons -- Deformation of Solitons in Random Media -- Nonlinear Wave Propagation Through Disordered Media -- Nonlinearity and Disorder in the |
Statistical Mechanics of Integrable Systems -- Classical and Quantum Mechanical Analysis of Order and Chaos in the Discrete Self-Trapping Equation -- The Nonlinear Schrödinger Equation on a Disordered Chain -- Dynamics of Sine-Gordon | |
Soliton Interactions with Impurities -- Chaotic Dynamics of Nonlinear Schrödinger Soliton Interaction with an Oscillating Impurity -- Modulated Dark Soliton: Features of Creation and Propagation -- Dynamics of a Stochastically | |
Perturbed ø4 Model -- On the Threshold of KdV Soliton Production -- One-Dimensional Localization and Wave Propagation in Linear and Nonlinear Media -- Annihilation of Topological Chiral Solitons -- On Some Probabilistic Problems in the | |
Theory of Quadratic Operators -- Superexponential Damping of Mean Field Propagating in Randomly Inhomogeneous Medium with Anomalously Large-Scale Nonuniformities -- II Physical Applications -- Nonlinearity, Disorder, the Spread of | |
Neolithic Farming, and the Origin of the Indo-European Languages -- Role of Disorder on the Dynamics of a Nonlinear Model for DNA Thermal Denaturation -- Nonlinear Dynamics in a Double Chain Model of DNA -- Energy Transfer in ?-Helical | |
Proteins by Fermi Resonance -- Chaotic Dynamics of Fluxons in Large-Area Josephson Junctions -- Soliton Dynamics in Tunnel-Coupled Fibers with Variable Coupling -- Instability of Solitons and Nonlinear Waves in Liquid Crystals -- | |
Phonons in Disordered Anharmonic Solids -- Two-Sublattice Solitons in Hydrogen-Bonded Chains with Dynamical Disorder -- Phase Transition in a Kink and Dynamical Structure Factor of Quasi-One-Dimensional Antiferromagnets -- Layer | |
Disordering and Optical Properties of a-Si/SiO2 Superlattices -- Modulational Polarization Instabilities and Disorder in Birefringent Optical Fibers -- Pattern Formation in Nonlinear Physical Systems with Characteristic Electric | |
Properties -- Index of Contributors | |
ISBN: | 9783642847745 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Physics: 67 |
Keywords: | Physics , Physical chemistry , Biochemistry , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Physical Chemistry , Biochemistry, general |
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Call number: | SPRINGER-1992-9781461534648:ONLINE Show nearby items on shelf |
Title: | Chaotic Dynamics Theory and Practice |
Author(s): | |
Date: | 1992 |
Size: | 1 online resource (418 p.) |
Note: | 10.1007/978-1-4615-3464-8 |
Contents: | Complexity and Unpredictable Scaling of Hierarchical Structures -- Asymptotic State Estimation Using Observers in Dynamical and Control Systems -- Learning Optimal Representations -- Multifractal Coding Measures in Dynamics -- |
Determination of Fractal Dimensions and Generalized Entropies of Strange Atractors -- On the Quaternionic Julia Sets -- Perturbation Theory and Analyticity of Normalizing Transformations for Area Preserving Maps -- Note on a Complex | |
Eckhaus Equation -- Integrability of Discrete-Time Systems -- Prom Weak to Full Painlevé Property Via Time Singularities Transformations -- The Role of Negative Resonances in the Painlevé Test -- On the Convergence of Series Solutions | |
of Nonintegrable Systems With Algebraic Singularities -- Chaotic Phase Transitions Within the Fully Developed Regime -- From Dynamical Systems to Local Diffusion Processes -- Nonintegrability, Separatrices Crossing and Homoclinic | |
Orbits in the Problem of Rotational Motion of a Satellite -- Relativistic Chaos in Robert son-Walker Cosmologies: The Topological Structure of Space-Time and Microscopic Dynamics -- Feedback Control of Chaotic Systems -- The Structure | |
of Basin Boundaries in a Simple Adaptive Control System -- A Method for Adaptive Control and Learning in Chaotic Systems -- Global Bifurcations, Nonlinear and Chaotic Spatio-Temporal Dynamics in Semiconductor Heterostructures -- | |
Numerical Study of Bifurcations in the BCS Gap Equation -- Dynamics of Fibre Laser With Nonlinear External Cavity -- Symbolic Description of Irregular Behaviour in a Laser Model -- Chaotic Dynamics in Practice: An Electronic Circuit | |
for a Nonlinear Oscillator With Damping, Forcing and Possible Escape to infinity -- Dynamic Analysis of Encephalic Activity -- Chaotic Response of a Periodically Forced System of Two Competing Microbial Species -- Irregular Bursting in | |
Model Neurones -- Spectroscopy and Dynamics of Vibrationally Excited Molecules: A Phase Space Structure Analysis -- Inhibition of Chaotic Behaviour in Coupled Models of Atmospheric Dynamics and Climate Evolution -- Evidence for Chaotic | |
Dynamics in the Outer Solar Plasma and the Earth Magnetosphere -- Time Series Analysis of Magnetospheric Activity Using Nonlinear Dynamical Methods -- Spectral Properties of Trajectories in Near Integrable Hamiltonian Systems -- | |
Symmetry Breaking in the Period-Doubling Route to Chaos -- Dissipative Deterministic Chaotic Dynamics Between the Lyapounov Time and Long Time Limit: A Probabilistic Description -- Resonant Normal Forms and Applications to Beam | |
Dynamics -- Analysis of Singularities of the Standard Map Conjugation function -- Padé Approximants Applied to the Analysis of the Singularity Structure for Conjugacy Problem -- Contributors | |
ISBN: | 9781461534648 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series B: Physics: 298 |
Keywords: | Engineering , Physics , Electrical engineering , Engineering , Electrical Engineering , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-1992-9781461533603:ONLINE Show nearby items on shelf |
Title: | Chaos From Theory to Applications |
Author(s): |
Anastasios A Tsonis |
Date: | 1992 |
Size: | 1 online resource (274 p.) |
Note: | 10.1007/978-1-4615-3360-3 |
Contents: | I: Notes -- 1 Introduction -- 2 Mathematical Notes -- 3 Physics Notes -- 4 On Fractals -- II: Theory -- 5 Attractors -- 6 Bifurcations and Routes to Chaos -- 7 Chaos Elsewhere -- III: Applications -- 8 Reconstruction of Dynamics from |
Observables -- 9 Evidence of Chaos in “Controlled” and “Uncontrolled” Experiments -- 10 Nonlinear Time Series Forecasting -- 11 Other Developments and Trends in the Application of Chaos -- References | |
ISBN: | 9781461533603 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Dynamics , Ergodic theory , Statistical physics , Materials science , Physics , Nonlinear Dynamics , Dynamical Systems and Ergodic Theory , Characterization and Evaluation of Materials |
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Call number: | SPRINGER-1992-9781461392293:ONLINE Show nearby items on shelf |
Title: | Modeling Complex Phenomena Proceedings of the Third Woodward Conference, San Jose State University, April 12–13, 1991 |
Author(s): | |
Date: | 1992 |
Size: | 1 online resource (313 p.) |
Note: | 10.1007/978-1-4613-9229-3 |
Contents: | A Complex Phenomenon: The Human Mind -- I Paradigms, Complexity, and Learning -- Modeling and Control of Complex Systems: Paradigms and Applications -- Knowledge and Meaning: Chaos and Complexity -- Complexity Issues in Robotic |
Machine Learning of Natural Languages -- II Forecasting and Arms Race -- Nonlinear Forecasting, Chaos and Statistics -- Nonlinear Dynamics and Chaos in Arms Race Models -- III Economic Systems -- Chaotic Dynamics in Economic | |
Equilibrium Theory -- Chaos and the Foreign Exchange Market -- IV Earthquakes and Sandpiles -- Earthquakes as a Complex Phenomenon -- Application of a Mean Field Approximation to Two Systems that Exhibit Self-Organized Criticality -- V | |
Fluids and Crystal Growths -- Modeling the Hydrodynamics of Materials Processing -- Modeling Complex Phenomena in Fluids -- VI Complex Patterns -- Consensus in Small and Large Audiences -- Nonhomogeneous Response of Reaction-Diffusion | |
Systems to Local Perturbations -- Nonequilibrium Transient Near a Noise-Induced Instability -- Active Walker Models for Filamentary Growth Patterns -- Index of Contributors | |
ISBN: | 9781461392293 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Physical chemistry , Mechanics , Statistical physics , Dynamical systems , Complexity, Computational , Physics , Statistical Physics, Dynamical Systems and Complexity , Complexity , Mechanics , Physical Chemistry |
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Call number: | SPRINGER-1991-9789401134422:ONLINE Show nearby items on shelf |
Title: | Instabilities and Nonequilibrium Structures III |
Author(s): | |
Date: | 1991 |
Size: | 1 online resource (374 p.) |
Note: | 10.1007/978-94-011-3442-2 |
Contents: | Table of Content -- I. Dynamical Systems and Statistical Mechanics -- Fast Dynamo for Some Anosov Flows -- How Horseshoes Are Created -- Fine Structure of Universal Cantor Sets -- Hamiltonian Chaos in a Laser Damage Model -- Periodic |
Modulation of a Logistic Oscillator -- Quantum Spin Chains with Residual Entropy -- Quantum Fluctuations and Linear Response Theory -- Non-Commutative Large Deviations and Applications -- Squeezing in the Su(1,1) Group -- Full Scaling | |
and Real-Space Renormalization -- Sand Piles, Combinatorial Games and Cellular Automata -- II. Stochastic Effects on Dynamical Systems -- Nonequilibrium Potentials in Spatially Extended Pattern Forming Systems -- Passage Time | |
Description of Dynamical Processes -- Stochastic Processes Driven by Colored Noise: A Path Integral Point of View -- Effect of Noise on a Hopf Bifurcation -- Some Properties of Quasi Stationary Distributions in the Birth and Death | |
Chains: A Dynamical Approach -- Photon Noise Reduction in Light Sources -- III. Instabilities in Nonequilibrium Systems -- Spatio-Temporal Properties of Centrifugal Instabilities -- Shape of Stationary and Travelling Cells in The | |
Printer’s Instability -- Secondary Instability of Cellular Structures in Directional Solidification -- Velocity Field Structure and Semiquantitative Analysis Of Tracer Dispersion in a Taylor-Vortex Flow of Wide Gap -- Lasers as a Test | |
Bench for Theories of Non-Equilibrium Structures -- Mean Field Theory of Canonical Spinodal Instabilities -- Periodic (Layered) Structures under Constraint -- Transitions Between Patterns of Different Symmetries -- Direct Simulation of | |
Three-Dimensional Turbulence -- Transition Between Different Symmetries in Convection -- Shallow Surface Waves in a Convecting Fluid -- An Exact Model of Resistive Convection in a Cylindrical Plasma -- Energy Method in the Stability of | |
Viscoelastic Fluid -- Solitary Waves, Topological Defects and Their Interactions in Systems with Translational and Galilean Invariance -- Dynamics of Nonlinear SchrÖDinger Defects in Three Dimensions -- Dynamics of Spiral Defects in | |
Two Dimensional Extendedsystems -- Fragmentation -- Qualitative Theory of Defects in Non-Equilibrium Systems | |
ISBN: | 9789401134422 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Mathematics and Its Applications : 64 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Mathematical models , Mathematics , Analysis , Applications of Mathematics , Mathematical Modeling and Industrial Mathematics |
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Call number: | SPRINGER-1991-9783540473633:ONLINE Show nearby items on shelf |
Title: | Group Theoretical Methods in Physics Proceedings of the XVIII International Colloquium Held at Moscow, USSR, 4–9 June 1990 |
Author(s): | |
Date: | 1991 |
Size: | 1 online resource (601 p.) |
Note: | 10.1007/3-540-54040-7 |
Contents: | Introductory talk -- Creating “clouds” -- Opening remarks -- Laudatio for Professor Francesco Iachello -- Symmetry -- Dynamical and fundamental symmetries in particles and nuclei -- Spectrum generating groups — idea and application -- |
The role of dynamic symmetries and supersymmetries in nuclear physics -- SO(3,2) for oscillator and hydrogenlike systems -- Conformal groups in the Kepler problem -- Potential group in optics: The maxwell fish-eye system -- Transition | |
to chaos in hadronic systems -- The dynamical group of Riemann ellipsoids -- An algebraic model of cluster states in odd-mass nuclei -- Compact to noncompact transition and nuclear collective levels -- $$\overline {SL(3,R)} \times | |
T^6$$ as a nuclear collective motion group -- Exceptional groups and the interacting boson approximation -- An overview of quantum groups -- Integrable theories, Yang-Baxter algebras and quantum groups: An overview -- Finite - | |
dimensional irreducible representations of the quantum superalgebra Uq[gl(n/I)] -- Projection operator method and Q-analog of angular momentum theory -- Quantum algebras and symmetries of dynamical systems -- Coulomb gas realization of | |
simple quantum groups -- String theory, quantum gravity and quantum groups -- q-Oscillator realizations of the quantum superalgebras sl q (m, n)andosp q (m, 2n) -- Relativistic oscillator = q-oscillator -- Some aspects of the angular | |
momentum coefficients in SUq (2) -- Contractions and analytic continuations of the irreducible representations of the quantum algebra suq(2) -- Universal R-matrix for quantum supergroups -- Recent progress in non-commutative geometry | |
-- Algebraic gauge theory and noncommutative geometry -- Classification of the symmetries of ordinary differential equations -- Conditional symmetries and conditional integrability for nonlinear systems -- Cohomology and symmetry of | |
differential equations -- Derivations of semi-basic forms and symmetries of second-order equations -- Hamilton-Jacobi equations in SU(2, 2) homogeneous spaces -- Linearization of PDEs -- Perturbed nonlinear equations: Application to | |
the Korteweg-Devries equation considered as a perturbed Euler equation -- Algebraic version of the soliton perturbation theory -- Extended chiral conformal models with a quantum group symmetry -- Conformal reduction of WZNW theories | |
and W-algebras -- The resurrection of a forgotten symmetry: De broglie' s symmetry -- Relativistic invariance of a many body system with a Dirac oscillator interaction -- Derivation of the geometrical berry phase -- Gauge translations | |
and the Berry phase -- Geometric quantization: Regular representations and modular algebras -- Geometro-stochastic quantization and quantum geometry -- SO(4,1)-Coherent states and the geometro-stochastic quantization of a gauge theory | |
for extended objects -- Covariant quantum mechanics and the symmetries of its radiation fields -- Double stratonovich - Hubbard trick and novel path integral for a system of interacting fermions -- Nonrelativistic limit of superfield | |
theories -- Remarks on the supersymmetric WKB quantization formula -- Particle in a self-dual monopole field: example of supersymmetric quantum mechanics -- Supersymmetry and electron angular momentum -- Parasupersymmetries and Lie | |
superalgebras -- Quantum chaos: Spectra and states -- Quantum ergodicity and eigenvalue problems for plane polygons -- “Classical” in terms of general statistical models -- Temporal decoherence in Lorentz-squeezed hadrons -- Physical | |
significance of correlated and squeezed states -- On the symmetry and dynamics of squeezed and correlated states -- Correlated States of Quantum Chain -- Interaction of weak coherent light with a system of two - level atoms in a | |
lossless cavity -- Time dependent quantum tunnelling -- Non-spurious harmonic oscillator states with arbitrary permutational symmetry -- Symmetry analysis of the qualitative intramolecular phenomena -- Algebras of the SU(n) vector | |
invariants and some of their applications -- Product formulas for Q-representatives -- Tensor products for affine Kac-Moody algebras -- Atypical modules of the lie superalgebra gl (m/n) -- Vector coherent state theory of the | |
non-compact orthosymplectic superalgebras -- The composition factors of kac modules of sl(M/N) -- Clifford algebras, spinors and finite geometries -- Reducibility of Euclidean motion groups -- Software packages: Space groups and their | |
representations -- Software packages: Transformation coefficients for space groups -- Icosahedral dissectable tilings from the root lattice D6 -- Groups with G-number parameters -- Regge Calculus with torsion -- Quasiperiodicity: Local | |
and global aspects -- Derivative Moufang transformations -- On the explicit form of consistent anomalies -- Berry phases and Wyckoff positions for energy bands in solids -- Crystallography of quasicrystals: The problem of restoration | |
of broken symmetry | |
ISBN: | 9783540473633 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 382 |
Keywords: | Physics , Quantum physics , Quantum computers , Spintronics , Physics , Quantum Physics , Quantum Information Technology, Spintronics |
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Call number: | SPRINGER-1991-9783034870047:ONLINE Show nearby items on shelf |
Title: | Bifurcation and Chaos: Analysis, Algorithms, Applications |
Author(s): | |
Date: | 1991 |
Size: | 1 online resource (388 p.) |
Note: | 10.1007/978-3-0348-7004-7 |
Contents: | A Complete Bifurcation Scenario for the 2-d Nonlinear Laplacian with Neumann Boundary Conditions on the Unit Square -- The Effect of Fluctuations on the Transition Behavior of a Nonlinear Chemical Oscillator -- Examples of Boundary |
Crisis Phenomenon in Structural Dynamics -- Bifurcation, Pattern Formation and Transition to Chaos in Combustion -- On the Primary and Secondary Bifurcation of Equations Involving Scalar Nonlinearities -- Periodic Solutions Leading to | |
Chaos in an Oscillator with Quadratic and Cubic Nonlinearities -- Turing Structures in Anisotropic Media -- Regular and Chaotic Patterns of Rayleigh-Bénard Convection -- Bifurcations in Slowly Rotating Systems with Spherical Geometry | |
-- An Elastic Model with Continuous Spectrum -- Mechanistic Requirements for Chemical Oscillations -- Envelope Soliton Chans Model for Mechanical System -- Rolling Motion of Ships Treated as Bifurcation Problem -- Normal Forms for | |
Planar Systems with Nilpotent Linear Part -- Two Methods for the Numerical Detection of Hopf Bifurcations -- Automatic Evaluation of First and Higher-Derivative Vectors -- On the Stability of a Spinning Satellite in a Central Force | |
Field -- Codimension Two Bifurcation in an Approximate Model for Delayed Robot Control -- Lacunary Bifurcation of Multiple Solutions of Nonlinear Eigenvalue Problems -- Branches of Stationary Solutions for Parameter-dependent | |
Reaction-Diffusion Systems from Climate Modeling -- A Note on the Detection of Chaos in Medium Sized Time Series -- An Approach for the Analysis of Spatially Localized Oscillations -- On the Application of Invariant Manifold Theory, in | |
particular to Numerical Analysis -- Combined Analytical-Numerical Analysis of Nonlinear Dynamical Systems -- Monotony Methods and Minimal and Maximal Solutions for Nonlinear Ordinary Differential Equations -- Interior Crisis in an | |
Electrochemical System -- Multiple Bifurcation of Free-Convection Flow Between Vertical Parallel Plates -- Description of Chaotic Motion by an Invariant Distribution at the Example of the Driven Duffing Oscillator -- Augmented Systems | |
for Generalized Turning Points -- Numerical Analysis of the Orientability of Homoclinic Trajectories -- Qualitative and Quantitative Behaviour of Nonlinearly Elastic Rings under Hydrostatic Pressure -- Computation of Basins of | |
Attraction for Three Coexisting Attractors -- Controllability of Lorenz Equation -- Spatially Periodic Forcing of Spatially Periodic Oscillators -- Solution Branches at Corank-Two Bifurcation Points with Symmetry -- Two-dimensional | |
Maps Modelling Periodically Driven Strictly Dissipative Oscillators -- On Computing Coupled Turning Points of Parameter-Dependent Nonlinear Equations -- Generating Hopf Bifurcation Formulae with MAPLE -- On a Codimension Three | |
Bifurcation Arising in an Autonomous Electronic Circuit -- Efficient Parallel Computation of Periodic Solutions of Parabolic Partial Differential Equations -- Comparison of Bifurcation Sets of Driven Strictly Dissipative Oscillators -- | |
Echo Waves in Reaction-Diffusion Excitable Systems -- The Local Stability of Inactive Modes in Chaotic Multi-Degree-of-Freedom Systems -- Bifurcations in Dynamic Systems with Dry Friction -- The Approximate Analytical Methods in the | |
Study of Bifurcations and Chaos in Nonlinear Oscillators -- Periodic and Homoclinic Orbits in Conservative and Reversible Systems -- On the Dynamics of a Horizontal, Rotating, Curved Shaft -- Lyapunov Exponents and Invariant Measures | |
of Dynamic Systems -- Computation of Hopf Branches Bifurcating from Takens-Bogdanov Points for Problems with Symmetries | |
ISBN: | 9783034870047 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique : 97 |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis |
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Call number: | SPRINGER-1991-9781461209478:ONLINE Show nearby items on shelf |
Title: | Dynamical Issues in Combustion Theory |
Author(s): | |
Date: | 1991 |
Size: | 1 online resource (257 p.) |
Note: | 10.1007/978-1-4612-0947-8 |
Contents: | Bifurcation, pattern formation and chaos in combustion -- Mathematical investigation of the cold boundary difficulty in flame propagation theory -- Nonlinear development of low frequency one-dimensional instabilities for reacting |
shock waves -- Dynamics of laminar triple-flamelet structures in non-premixed turbulent combustion -- Free boundary problems and dynamical geometry associated with flames -- On the dynamics of weakly curved detonations -- Simplified | |
equations for low mach number combustion with strong heat release -- Attractors and turbulence for some combustion models -- Linear stability of one-dimensional detonations -- Discrete modeling of beds of propellant exposed to strong | |
stimulus | |
ISBN: | 9781461209478 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | The IMA Volumes in Mathematics and its Applications: 35 |
Keywords: | Chemistry , Chemometrics , Physical chemistry , Thermodynamics , Acoustics , Computational intelligence , Chemistry , Physical Chemistry , Math. Applications in Chemistry , Computational Intelligence , Thermodynamics , Acoustics |
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Call number: | SPRINGER-1990-9789400906594:ONLINE Show nearby items on shelf |
Title: | Continuation and Bifurcations: Numerical Techniques and Applications |
Author(s): | |
Date: | 1990 |
Size: | 1 online resource (444 p.) |
Note: | 10.1007/978-94-009-0659-4 |
Contents: | Bifurcation to rotating waves from non-trivial steady-states -- Use of approximate inertial manifolds in bifurcation calculations -- Understanding steady-state bifurcation diagrams for a model reaction-diffusion system -- |
Bifurcations, chaos and self-organization in reaction-diffusion systems -- Eigenvalue problems with the symmetry of a group and bifurcations -- Steady-state/steady-state mode interaction in nonlinear equations with Z2-symmetry -- | |
Symbolic computation and bifurcation methods -- Bifurcation analysis: a combined numerical and analytical approach -- to the numerical solution of symmetry-breaking bifurcation problems -- A computational method and path following for | |
periodic solutions with symmetry -- Global bifurcations and their numerical computation -- Computation of invariant manifold bifurcations -- A method for homoclinic and heteroclinic continuation in two and three dimensions -- The | |
global attractor under discretisation -- The numerical detection of Hopf bifurcation points -- A Newton-like method for simple bifurcation problems with application to large sparse systems -- Aspects of continuation software -- | |
Interactive system for studies in nonlinear dynamics -- LINLBF: A program for continuation and bifurcation analysis of equilibria up to codimension three -- On the topology of three-dimensional separations, A guide for classification | |
-- The construction of cubature formulae using continuation and bifurcation software -- Determining an Organizing Center for Passive Optical Systems -- Optimization by continuation -- Stability of Marangoni convection in a microgravity | |
environment -- Computing with reaction-diffusion systems: applications in image processing -- Bifurcation of Codimension 2 for a discrete map -- Bifurcation of periodic solutions in PDE’s: Numerical techniques and applications | |
(abstract) -- Bifurcation and chaos in Chua’s circuit family (abstract) -- Continuation and collocation for parameter dependent boundary value problems (abstract) -- Porous medium combustion (abstract) -- Block elimination and the | |
computation of simple turning points (abstract) -- Bifurcation into gaps in the essential spectrum (abstract) -- Application of numerical continuation in aerospace problems (abstract) -- Application of a reduced basis method in | |
structural analysis (abstract) -- Some applications of bifurcation theory in engineering (abstract) -- Higher order predictors in numerical path following schemes (abstract) | |
ISBN: | 9789400906594 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series C: Mathematical and Physical Sciences: 313 |
Keywords: | Mathematics , Partial differential equations , Computer mathematics , Algorithms , Electrical engineering , Mathematics , Computational Mathematics and Numerical Analysis , Algorithms , Partial Differential Equations , Electrical Engineering |
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Call number: | SPRINGER-1990-9783642760464:ONLINE Show nearby items on shelf |
Title: | Symmetries and Singularity Structures Integrability and Chaos in Nonlinear Dynamical Systems Proceedings of the Workshop, Bharathidasan University, Tiruchirapalli, India, November 29–December 2, 1989 |
Author(s): | |
Date: | 1990 |
Size: | 1 online resource (208 p.) |
Note: | 10.1007/978-3-642-76046-4 |
Contents: | I Symmetry Aspects -- Symmetries, Singularities and Exact Solutions for Nonlinear Systems -- Application of Isovector Approach for the Solutions of Differential Equations of Physical Systems -- Master Symmetries of Certain Nonlinear |
Partial Differential Equations -- Symmetries and Constants of Motion of Integrable Systems -- Lie Algebra, Bi-Hamiltonian Structure and Reduction Problem for Integrable Nonlinear Systems -- On the Role of Virasoro, Kac-Moody Algebra | |
and Conformal Invariance in Soliton Hierarchies -- Generalised Lie Symmetries and Integrability of Coupled Nonlinear Oscillators with Two Degrees of Freedom -- Aspects of Symmetries of Dissipative Systems -- II Singularity Structure | |
Aspects -- Painlevé Property in Hamiltonian and Non-Hamiltonian Systems -- Singularity Structure and Chaotic Dynamics of the Parametrically Driven Duffing Oscillator -- A Singularity Analysis Approach to the Solutions of Duffing’s | |
Equation -- III Integrability and Chaos: Quantum and Classical -- Avoided Level Crossing, Solitons and Random Matrix Theory -- Random Matrices and Quantum Chaos: Effects of Symmetry-Breaking on Spectral Correlations -- Quantum Groups | |
-- Integrable Quantum Spin Chains and Some Problems Related to Integrable Systems -- On the Quantum Inverse Problem for a New Type of Nonlinear Schrödinger Equation for Alfven Waves in Plasma -- Nonlinear Chemical Dynamics -- Dynamics | |
of Solitons on 4He Films -- Studies on a Josephson Junction with Nonlinear Resistance -- Index of Contributors | |
ISBN: | 9783642760464 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Applied mathematics , Engineering mathematics , Condensed matter , Statistical physics , Dynamical systems , Mathematics , Applications of Mathematics , Statistical Physics, Dynamical Systems and Complexity , Condensed Matter Physics |
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Call number: | SPRINGER-1990-9783034873062:ONLINE Show nearby items on shelf |
Title: | Order,Disorder and Chaos in Quantum Systems Proceedings of a conference held at Dubna, USSR on October 17–21 1989 |
Author(s): | |
Date: | 1990 |
Size: | 1 online resource (360 p.) |
Note: | 10.1007/978-3-0348-7306-2 |
Contents: | 1. Schroedinger operators : spectra, scattering and semiclassical behaviour -- Negative discrete spectrum of the Schroedinger operator with large coupling constant : qualitative discussion -- Discrete spectrum in the gaps of the |
continuous one in the large-coupling-constant limit -- On the asymptotics of discrete spectrum for the Schroedinger operator in electric and homogeneous magnetic fields -- Asymptotics of the discrete spectrum of Hamiltonians of quantum | |
systems with a homogeneous magnetic field -- Asymptotics of eigenvalues for many-particle Hamiltonians at symmetry subspaces -- Spectral asymptotics with highly accurate remainder estimates -- Bound states and resonances in quantum | |
wires -- Spectral properties of the operators H? = ??XX + p(x)? + v(?x), p is periodic -- Discrete spectrum for a periodic Schroedinger operator perturbed by a decreasing potential -- On a complete description of the principal discrete | |
series of spectral invariants of the Hill operator -- WKB-approximations from the perturbation theory viewpoint -- Moving potentials and the completeness of wave operators. Part II : Propagating observables on scattering states -- | |
Representation of the three-body S-matrix in terms of effective amplitudes -- A three-body one-dimensional system with increasing interaction : wave function asymptotics -- Surprises of quantum tunneling (something about the velocity | |
of sub-barrier motion) -- 2. Point and contact interactions, self-adjoint extensions -- Lifshitz tails and non-Lifshitz tails for one-dimensional random point interactions -- Point interactions with an internal structure as limits of | |
nonlocal point interactions -- Green’s function for the Aharonov-Bohm effect with a non-Abelian gauge group -- A model of zero-width slits and the real diffraction problem -- Construction of an inelastic scatterer in nanoelectronics by | |
the extension-theory methods -- On boundary theory for Schroedinger operators and stochastic processes -- Dirac Hamiltonian with Coulomb potential and contact intraction on a sphere -- Self-adjoint extensions of Schroedinger operators | |
with singular potentials -- Currents and the extension theory -- 3. Quantum chaos -- Chaotic quantum billiards -- Relevance of the localization to quasienergy statistics in quantum chaotic systems -- Singular continuous quasi-energy | |
spectrum in the kicked rotator with separable perturbation : onset of quantum chaos ? -- Relation between correlation functions and spectrum statistics in the region of quantum chaos -- 4. Other topics -- Localization effects in | |
non-homogeneous dielectrics -- A self-adjoint dilation of the linear Boltzmann operator -- Kato problem for functional-differential equations and difference Schroedinger operators -- An existence theorem for some nonlinear nonlocal | |
Schroedinger operators and the solitonlike dynamics for the corresponding dynamical systems -- The Sturm-Liouville problem with a potential linear in spectral parameter -- Stochastic model of tree growth -- Critical phenomenon in the | |
stationary model of random growth -- On a quantum-classical connection, hidden symmetries and a model of Josephson junction -- Open multiquantum systems. Method of a generating functional -- Generalized functions and their applications | |
-- List of unpublished contributions -- List of participants | |
ISBN: | 9783034873062 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Operator Theory: Advances and Applications : 46 |
Keywords: | Science , Science , Science, general |
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Call number: | SPRINGER-1989-9783642743665:ONLINE Show nearby items on shelf |
Title: | Nonlinear Waves Dynamics and Evolution |
Author(s): | |
Date: | 1989 |
Size: | 1 online resource (176 p.) |
Note: | 10.1007/978-3-642-74366-5 |
Contents: | I Dynamic Chaos -- Dimensions and Entropies in Multidimensional Systems -- Measurement Methods for Correlation Dimensions -- Quantum Localization of Dynamic Chaos -- Randomness and Predictability in Dynamic Chaos -- Stochastic |
Vibrational Dynamics of Polyatomic Molecules -- II Evolution -- The Phenomena of Self-Organization in Bacterial Cells and Populations -- The Mechano-Chemical Activity of Cells and Selforganization of Embryonic Patterns -- Drift of a | |
Reverberator in an Active Medium due to the Interaction with Boundaries -- Photochromic and Nonlinear Processes in Bio-Chrom-Br Films -- Engineering of Dynamical Systems for Pattern Recognition and Information Processing -- III | |
Applications of Nonlinear Dynamics -- Nonlinear Phenomena in Condensed Matter: Universe in a Helium Droplet -- Nonlinear Theory of Sea Wave Run-Up -- Superradiance: Approach to Electrodynamics of Continuous Active Media -- The Origin | |
and Evolutionary Dynamics of Uranian Rings -- Index of Contributors | |
ISBN: | 9783642743665 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Quantum physics , Atoms , Quantum computers , Spintronics , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Quantum Information Technology, Spintronics , Quantum Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Atomic, Molecular, Optical and Plasma Physics |
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Call number: | SPRINGER-1989-9781475706239:ONLINE Show nearby items on shelf |
Title: | Measures of Complexity and Chaos |
Author(s): | |
Date: | 1989 |
Size: | 1 online resource (486 p.) |
Note: | 10.1007/978-1-4757-0623-9 |
Contents: | Complexity and Chaos -- Chaotic Metamorphoses -- I. Characterizing Temporal Complexity: Chaos -- A. Measuring Dimensions, Entropies and Lyapunov Exponents -- Measures of Dimensions from Astrophysical Data -- Some Remarks on Nonlinear |
Data Analysis of Physiological Time Series -- Hierarchies of Relations Between Partial Dimensions and Local Expansion Rates in Strange Attractors -- Experimental Study of the Multifractal Structure of the Quasiperiodic Set -- | |
Statistical Inference Theory for Measures of Complexity in Chaos Theory and Nonlinear Science -- Practical Remarks on the Estimation of Dimension and Entropy from Experimental Data -- Chaotic Behavior of the Forced Hodgkin-Huxley Axon | |
-- Chaotic Time Series Analysis Using Short and Noisy Dta Sets: Applications to a Clinical Epilepsy Seizure -- Measuring Complexity in Terms of Mutual Information -- Estimating Lyapunov Exponents From Approximate Return Maps -- | |
Estimating Local Intrinsic Dimensionality Using Thresholding Techniques -- Seeking Dynamically Connected Chaotic Variables -- On Problems Encountered with Dimension Calculations -- Systematic Errors in Estimating Dimensions from | |
Experimental Data -- Analyzing Periodic Saddles in Experimental Strange Attractors -- Time Evolution of Local Complexity Measures and Aperiodic Perturbations of Nonlinear Dynamical Systems -- Analysis of Local Space/Time Statistics and | |
Dimensions of Attractors Using Singular Value Decompositon and Information Theoretic Criteria -- Entropy and Correlation Time in a Multimode Dye Laser -- Dimension Calculation Precision with Finite Data Sets -- Chaos in Childhood | |
Epidemics -- Measurement of f(?) for Multifractal Attractors in Driven Diode Resonator Systems -- Is there a Strange Attractor in a Fluidized Bed? -- Statistical Error in Dimension Estimators -- B. Other Measures -- Dynamical | |
Complelxity of Strange Sets -- Characterization of Complexity by Aperiodic Driving Forces -- Stabilization of Prolific Populations Through Migration and Long-lived Propagules -- Complex Behavior of Systems Due to Semi-stable | |
Attractors: Attractors That Have Been Destablized but Which Still Temporarily Dominate the Dynamics of a System -- Universal Properties of the Resonance Curve of Complex Systems -- The Effects of External Noise on Complexity in | |
Two-dimensional Driven Damped Dynamical System -- Chaos on a Catastrophe Manifold -- Topolgical Frequencies in Dynamical Systems -- Phase Transitions Induced by Deterministic Delayed Forces -- Mutual Information Functions Versus | |
Correlation Functions in Binary Sequences -- Reduction of Complexity by Optimal Driving Forces -- Symbolic Dynamical Resolution of Power Spectra -- Relative Rotation Rates for Driven Dynamical Systems -- Stretching Folding Twisting in | |
the Driven Damped Duffing Device -- Characterizing Chaotic Attractors Underlying Single Mode Laser Emission by Quantitative Laser Field Phase Measurements -- C. Characterizing Homoclinic Chaos -- Shil’nikov Chaos: How to Characterize | |
Homoclinic and Heteroclinic Behavior -- Time Series Near Codimension Two Global Bifurcations -- Characterization of Shil’nikov Chaos in a CO2 Laser Containing a Saturable Absorber -- Symmetry-breaking Homoclinic Chaos -- Time Return | |
Maps and Distributions for the Laser with Saturable Absorber -- D. Building Models from Data -- Unfolding Complexity in Nonlinear Dynamical Systems -- Inferring the Dynamic Quantifying Physical Complexity -- Symbolic Dynamics from | |
Chaotic Time Series -- Modelling Dynamical Systems from Real-world Data -- Extraction of Models from Complex Data -- Quantifying Chaos with Predictive Flows and Maps: Locating Unstable Periodic Orbits -- II. Characterizing Spatio- Temp | |
Oral Complexity: Turbulence -- A. Theoretical -- Defect-induced Spatio-temporal Chaos -- Lyapunov Exponents, Dimension and Entropy in Coupled Lattice Maps -- Phase Dynamics, Phase Resettiing, Correlation Functions and Coupled Map | |
Lattices -- Characterization of Spatiotemporal Structures in Lasers: A Progress Report -- Amplitude Equations for Hexagonal Patterns of Convection in Non-Boussinesq Fluids -- Fractal Dimensions in Coupled Map Lattices -- Weak | |
Turbulence and the Dynamics of Topological Defects -- Pattern Cardinality as a Characterization of Dynamical Complexity -- B. Experimental -- Characterizing Spatiotemporal Chaos in Electrodeposition Experiments -- Characterizing | |
Space-time Chaos in an Experiment of Thermal Convection.. -- Characterizing Dynamical Complexity in Interfacial Waves -- Characterization of Irregular Interfaces: Roughness and Self-affine Fractals -- The Field Patterns of a Hybrid | |
Mode Laser: Detecting the “Hidden” Bistability of the Optical Phase Pattern -- Contributors | |
ISBN: | 9781475706239 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series B: Physics: 208 |
Keywords: | Engineering , Physics , Electrical engineering , Engineering , Electrical Engineering , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-1989-9781468456134:ONLINE Show nearby items on shelf |
Title: | Noise and Nonlinear Phenomena in Nuclear Systems |
Author(s): | |
Date: | 1989 |
Size: | 1 online resource (465 p.) |
Note: | 10.1007/978-1-4684-5613-4 |
Contents: | I. Introduction: Basic Concepts -- A Glimpse into the World of Random Walks -- Stochastic Bifurcations in a Generic Dynamical System: A Qualitative Analysis -- Unified Theory of Fluctuations and Parametric Noise -- An Influence |
Functional Approach for the Elimination of Variables in Stochastic Processes -- Mixing Properties and Resonances in Chaotic Dynamical Systems -- II. Stochastic Processes in Linear Nuclear Systems: Theory -- Application of Stochastic | |
Transport Theory to the Determination of the Statistical Descriptors Used in Noise Analysis -- Determination of Kinetics Parameters Using Stochastic Methods in a 252Cf Driven System -- Solving Low Power Stochastic Equations: Nonlinear | |
Studies -- Contribution to the Discussion -- Exact and Inexact, Explicit and Implicit Solution Techniques for the Forward and Backward Kolgomorow Equations -- III: Stochastic Processes in Linear Nuclear Systems: Applications -- Some | |
Applications of Stochastic Processes in Neutron Coincidence: Measurements Used in Nuclear Safeguards -- Application of Statistical Correlation Techniques for Measurement of the Keff of Highly Subcritical Systems -- Stochastic Aspects | |
of Neutron Multiplication in Fusion Blanket Materials and Spallation Targets -- Stochastic Calculations of the Effective Density Factor -- Statistical Correlation Calculation of the Time Constant Alpha in Monte Carlo Simulation of | |
Subcritical Assemblies -- IV. Stochastic Processes in Nonlinear Nuclear System: Theory -- Nonlinear Stochastic Theory and Identification of Nonlinearity in Nuclear Reactors -- Stochastic Nonlinear Dynamics of Nuclear Power Plants: | |
Noise Effects on Nonlinear Stability -- The Role of Fluctuations in Nuclear Reactor Transients -- The Effect of Fuel Depletion on Stochastic Behaviour in Supercritical Systems -- Contribution to the Discussion: Backward Kolgomorov | |
Equations with Feedback -- Steady State Dynamics of Nonlinear Nuclear Reactor Systems -- Nonlinear Effects in Structural Vibration Induced Fluctuations -- V. Stochastic Processes in Nonlinear Nuclear Systems: Applications -- Bispectrum | |
Estimation Using Overlapped Segments -- Nonlinear AR-Noise Investigated Via a Kalman Filter -- Characteristics of Adaptiveness and Self-Organizing as Applied to the Nonlinear Nuclear Systems -- The Monte Carlo Simulation of Thermal | |
Noise in Fast Reactors -- Pump Induced Linear and Nonlinear Vibrations at PWR -- VI. Nonlinear Dynamics and Transition to Chaos in Nuclear Systems. Part I -- Variational Methods for Analyzing Limit Cicles in BWR -- Nonlinear Dynamics | |
and Chaos in Boiling Water Reactors -- Nonlinear Dynamics of Three-Dimensional Point Fission Reactors -- Phase Plane Analysis of Nuclear-Coupled Density-Wave Oscillations -- VII. Nonlinear Dynamics and Transition to Chaos in Nuclear | |
Systems. Part II -- Nonlinear Dynamics of the Nuclear Breeding Process -- Nonlinear Xenon Oscillations -- Nonlinear Reactor Stability Analysis with Arbitrary Feedback -- A Stochastic Method for Nuclear Power Plant Diagnosis -- | |
Stochastic Nuclear Reactor Theory: Breit-Wigner Nuclear Noise | |
ISBN: | 9781468456134 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Physics , Applied and Technical Physics |
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Call number: | SPRINGER-1989-9781461308478:ONLINE Show nearby items on shelf |
Title: | Coherence and Quantum Optics VI Proceedings of the Sixth Rochester Conference on Coherence and Quantum Optics held at the University of Rochester, June 26–28, 1989 |
Author(s): | |
Date: | 1989 |
Size: | 1 online resource (1348 p.) |
Note: | 10.1007/978-1-4613-0847-8 |
Contents: | Emission Frequency of a Homogeneously Broadened Laser Operating below Threshold -- Dynamics of the NH3 FIR Laser and the Lorenz Model -- Quantum Theory of Interaction of a Resonant Field with a Nonlinear Medium Modelled as an |
Anharmonic Oscillator -- Quantum Effects in Light Propagation through a Nonlinear Medium -- Cooperative Modulation Instability in Dispersive Nonlinear Media -- Large Scale Transverse Interactions in Nonlinear Optical System with | |
2D-Feedback Generation, Hysteresis and Interaction of Wave Structures -- Single-Atom Cavity-Enhanced Absorption: Steady-State Field in the Strong-Coupling Limit -- Quantum Theory of Multiwave Mixing in a Squeezed Vacuum -- Measuring | |
the Wigner Angle with a Parametric Amplifier -- Delayed Bifurcations in a CO2 Laser with a Slowly Swept Pump -- Experimental Characterization of Shil’nikov Chaos by Statistics of Return Times -- Determination of a Small Photon Number | |
by Statistical Amplifying Transients -- Progress in Modelling Coherently Pumped Far-Infrared Laser Dynamics -- Extraordinary Behavior of Atoms near a Phase Conjugator -- Squeezed Light Generation with an Incoherent Pump -- Three Wave | |
Mixing for Multimode Beams -- Dimensionality Studies of Chaotic Attractors in Laser with Injected Signal -- Applications of the Optical Phase Operator -- Classically Chaotic Near-Classical Microwave Ionization -- Angular Correlations | |
of Bosons and Fermions -- The Physics of Stored Laser Cooled Ion Clusters: Phase Transitions in a System with only a Few Degrees of Freedom -- Theory of the Two-Photon Laser: Cross-Correlation and Laser Thresholds -- Nonclassical | |
Photon Correlations in Cavity QED -- Silicon Avalanche Photodetectors for Quantum Optics Experiments: Sub-Geiger Performance -- Comparisons of Two Theories of Scattering from Quasi-Homogeneous Media -- Photon-Number Distributions for | |
Number-State Homodyne Photomixing at a Lossless Beam Splitter -- Models and Approximations for Instabilities in Standing-Wave Lasers -- Near Threshold Behavior of Multimode CW Dye Lasers with an Amplitude Modulated Pump -- Radiation | |
Theory for Two-Photon Processes -- Behavior of a Ring Laser with Injected Signal near Threshold -- Optical Manifestations of Berry’s Topological Phase: Classical and Quantum Aspects -- Theory and Photon Statistics of a Free Electron | |
Laser -- Investigation of ? Phase Jumps in a Ring Laser -- Phase Fluctuation and Damping in Two-Level Optical Resonance -- Relaxation Problems and Lifetimes in Nonlinear Optical Systems -- Optical Systems Driven by Inputs with Reduced | |
Intensity Fluctuations: A Possible Master Equation Approach -- QED of a Two-Level Atom and Photodetection -- Competion between Counter-Propagating Waves in Laser Dynamics -- Nonlinear Dynamics of a Laser Containing A Modulated | |
Saturable Absorber -- Transition from Classical “Maxwell-Boltzmann” to Quantum, “Bose-Einstein” Partition Statistics by Stochastic Splitting of Degenerate Light -- Strong Photon Localization in Microcavity Stimulated Emission -- | |
Optical Experiments Illustrating the Significance of the Bell Inequalities -- High Intensity Effects in Raman Scattering -- Fluctuation Interferometer as High Angular-Resolution Sensor of Laser Illumination -- Self-Observation and | |
Self-Referral in Lasers: An Analysis of the Transition from Quantum to Classical Behavior -- Mode-Locked Superfluorescence -- The Wigner Function of Two-Mode Squeezed States Free and Dissipative Evolution -- Coherent Scattering of | |
Light in an Aharonov-Bohm Geometry -- Bloch Electrons in Coherent Light: A New Type of Renormalization -- Coherent Population Trapping and Its Effects on Light-Induced Drift -- Stochastic Resonance in Bistable Systems -- Spontaneous | |
and Induced Emission of Soft Bosons: Exact Non-Markovian Solutions -- Coherence and Interference in Photoionization of a Rydberg Atom -- Photon Antibunching in Spontaneous Emission from Two Nonidentical Atoms -- Excitation into a | |
Quasicontinuum by a Fluctuating Laser Field -- Stimulated Photon Echo Induced by Broad-Bandwidth Pulses -- Scattering of Electromagnetic Fields of Any State of Coherence from Fluctuating Media -- Local and Global Bifurcations of | |
Optically-Pumped Three-Level Lasers -- A New Test of Bell’s Inequality Using Optical Interference -- Soliton Collisions for Quantum Non-Demolition Measurement of Photon Number: The QND Soliton Interferometer -- A Semiclassical Theory | |
of Ultrafast Pump-Probe Spectroscopy: Visualization and Interpretation of Experiment -- Elimination of the Dynamics of the Rotational Levels in a Four-Level CO2 Laser Model -- Quantum Statistical Properties of Optical Phase Conjugation | |
-- Universal Normal-Form Description of Squeezing in Two-Photon Processes -- Microwave Excitation and Ionization of H Atoms at High Scaled Frequencies: Comparisons of Experiments and Theories -- Spectral Changes in Light Propagation | |
from a Class of Partially Coherent Sources -- Phase-Sensitive Light Amplifiers in Stellar Interferometry -- Using Modulation Response to Determine Dynamical Parameters and Appropriate Models for Single-Mode Lasers -- Squeezed Light and | |
the Single Atom -- Atomic Coherent States, Phase Transitions and Squeezing from Rydberg Atoms -- Saturation Behavior of Parametric Four-Wave Mixing Due to Two-Photon Interference Effect -- Bistability and Chaos in Counterpropagating | |
Laser Beams -- Experimental Study of Two-Photon Rabi Oscillations -- Manifestation of Berry’s Phase in Parametric Amplifiers -- Photo-Dynamics of a Single Trapped Three-Level Ion -- Atoms in Cavities -- Optical Correlation Functions | |
and Squeezing in the Jaynes-Cummings Model -- Higher Order Squeezing of Thermal Radiation through Parametric Amplification -- Some Modal Expansions of Partially Coherent Fields -- Two-Photon Transition Driven by Parametrically | |
Down-Converted Light: A Linear Intensity Dependence -- Quantum Noise Initiated Mode-Hopping in Semiconductor Lasers -- Measurement of the Effect of Resonant Light Pressure on the Dispersion Curve of a Gas of Two- Level Atoms -- | |
Detection of Decay Processes and Cavity Fields by Means of Quantum-Jump Statistics -- Diffracting Atoms from Evanescent Light Fields -- Production of a (Phase) Random Telegraph Field -- Composite Materials for Nonlinear Optics: Theory | |
and Experiment -- Test of the Linearity of Quantum Mechanics by RF Spectroscopy of the 9BE+ Ground State -- Gain Noise in Dye Lasers -- Sum and Difference Squeezing -- Excitation of Three-State Atom with Minimum Population of | |
Intermediate State -- Self-Focusing Limitations on Squeezed State Generation in Two-Level Media -- Observations of Sub-Poisson and Poisson Photon Statistics from the Fluorescence of Individual Barium Atoms -- Enhancement of | |
Antibunching in Second Harmonic Generation -- Phase-Dependent Lineshape in Multiple Pump-Probe Interactions -- Comparison of Lorenz-Like Laser Behavior with the Lorenz Model -- Atom-Photon Interaction Modified by a Microwave Cavity -- | |
Influence of the Local Oscillator on Homodyne Detection of Squeezed Vacuum -- Sensitivity to Initial Conditions in Classical and Quantum Dynamics -- Quantum Optics of Single, Trapped Ions -- Generation, Detection and Applications of | |
Sub-Poissonian Light -- The Spectrum of Radiation from a Moving Source of Any State of Coherence -- Intermittency and Chaos in Intracavity Doubled Lasers -- Rectification of the Light Pressure Force Acting on a Three-State Atom -- | |
Optical Second-Harmonic Generation from Jellium. The Collective-Mode Pattern Studied Via the Nonlinear Energy Reflection Coefficient -- Squeezing in Two-Photon Optical Bistability and Degenerate Four-Wave Mixing -- Metric-Perturbed | |
Shifts in Superradiant States -- Optical Second-Harmonic Generation and Rectification in a Superconductor with Cooper-Pairing -- Optical Spectra of a Strongly Coupled System of Atoms in a Cavity Driven by Squeezed Light -- The | |
Squeezing of Fock and Thermal Field States -- Dissipative Quantum Dynamics in Cavity Quantum Electrodynamics -- Scaling of Spontaneous Emission and Intermolecular Interactions in a Dielectric Medium Using Polaritons -- Excited-State | |
Relaxation Dynamics in a Continuous Wave Dye Laser -- Temporal Instabilities and Chaos in Photorefractive Four-Wave Mixing -- Diagrammatic Methods for Nonlinear Response of a System Dressed by Resonant External Fields -- Spatial | |
Quantum Fluctuations in Stimulated Raman Scattering -- Field-Matter Interactions in Photonic Bandgaps -- Detection of Squeezed Light by Coherently Superposed Detector States -- Analysis of Super-Gaussian Statistics of N-Harmonic Fields | |
by Nonlinear Gaussian Expansions -- Transient Squeezing and Time-Dependent Spectra of a Strongly Driven Three-Level Atom Undergoing Quantum Jumps -- Delayed Feedback Acting as Noise to Induce Phase Transitions -- Spectral Analysis for | |
the Coherence Collapsed Diode Laser -- On the Analogy between Electrons and Light -- Population Trapping Effect for System with Double Autoionizing Levels -- Information Performance for a Binary Channel with Photoncounting Detection -- | |
Heterodyne Spectrum of the Fluorescence from Optical Molasses -- An Infinite Ladder Coupled to a Quantum Mode An Exactly Solvable Quantum Model -- Super-Regenerative Laser Receiver -- Very High Order Harmonic Conversion of an Intense | |
YAG Laser Radiation in Rare Gases -- Spatially-Localized Two-Particle Interference at a Beam Splitter -- Comparative Study of Various Quasiprobability Distributions in a Two-Photon Correlated-Emission Laser -- Quantum Theory of | |
Two-Photon Correlated-Spontaneous-Emission Lasers: Exact Atom-Field Interaction Hamiltonian Approach -- Nonlinear Dynamics of Raman Lasers in the Good and Bad Cavity Limit -- A Monte Carlo Study of Superradiance -- Polarization | |
Dynamics in a Quasi-Isotropic Laser -- Understanding Squeezed States and Their Detection Using the Schrodinger Picture. -- Para-Bose Squeezed States -- Measurements, Dynamics and State Preparation in a Micromaser -- Preparation of | |
Nonclassical | |
ISBN: | 9781461308478 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Optics , Optoelectronics , Plasmons (Physics) , Electrical engineering , Physics , Optics, Optoelectronics, Plasmonics and Optical Devices , Electrical Engineering |
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Call number: | SPRINGER-1988-9783642739330:ONLINE Show nearby items on shelf |
Title: | Trends in Applications of Mathematics to Mechanics Proceedings of the 7th Symposium, Held in Wassenaar, The Netherlands, December 7–11, 1987 |
Author(s): | |
Date: | 1988 |
Size: | 1 online resource (361 p.) |
Note: | 10.1007/978-3-642-73933-0 |
Contents: | I Perturbation Methods and Applications -- Asymptotic Analysis of Stabilizing Fronts -- Boundary Layer Analysis for Some Problems of Singular Domain Perturbation -- Global Behaviour of Very Thin Cellular Structures. Applications to |
Networks -- Nonlinear Diffusion in Stellar Magnetic Loops -- Perturbation Solutions of Magnetomechanical Signal Processing Devices -- An Asymptotic Theory for a System of Weakly Nonlinear Wave Equations -- II Instability, Bifurcations | |
and Transition to Chaos -- Quasi-Codimension 3 Bifurcation of Invariant T2 Tori for Maps -- Generalized Lieb-Thirring Inequalities and the Dimension of Attractors Associated to the Ginzburg-Landau p.d.e. -- Low Order Spectral Models in | |
Hydrodynamics -- Asymptotical Behaviour of Solutions to Quasi-Linear Schrödinger Equations -- Lyapounov Stability of Electro-Magneto-Elastic Systems -- Criticality of an Exothermic Reaction-Diffusion System of nth-Order -- Flow Induced | |
Bifurcations to Three-Dimensional Motions of Tubes with an Elastic Support -- Local and Global Bifurcations of a Three Particle System -- III Multibody Dynamics and Control -- Multibody System Dynamics Mathematical Theory and | |
Industrial Applications -- A Finite Element Dynamic Analysis of Robotic Manipulators with Flexible Links -- IV Mechanics and Mathematics of Non-Classical Materials -- Mathematical Modelling for Non-Classical Materials -- Nonstandard | |
Modelling of Certain Quasi-Stationary Debonding Processes in Laminates -- Multilevel Model of Micro-Macro Interactions and Residual Stresses in Physical Systems -- Hemivariational Inequalities and Their Applications to Composite | |
Material Structures -- Poiseuille Flows of Incompressible Simple Fluids -- Properly Posed Boundary Condition and the Existence Theorem for Supefluid He4 -- Mathematical Aspects of the Theory of Viscoelasticity -- V New Interactions of | |
Mathematics and Mechanics -- On Saint-Venant’s Problem and Saint-Venant’s Principle in Nonlinear Elasticity -- Hypermembrane Shells -- On the Problem of Constructing the Mathematical Theory of Plates and Shells -- Application of | |
Extremum Principles to Mixed Boundary-Value Problems in Non-linear Elasticity -- Application of Bivariate B-Splines to a Plate Bending Problem -- Entropy and Dynamical Stability — a Method Due to Lagrange-Formalism as Applied to | |
Thermodynamics of Irreversible Processes -- A Thermodynamic Theory for Turbulence -- Approach to Lower Dimensional Dynamical Systems: Thermodynamical Aspects -- A Functional Analytic Approach to an Optimization Problem of Hydrodynamic | |
Propulsion -- Nonlinear Problems in the Kinetic Theory of Gases -- Index of Contributors | |
ISBN: | 9783642739330 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Mechanics , Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Mechanics |
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Call number: | SPRINGER-1988-9781461310174:ONLINE Show nearby items on shelf |
Title: | Nonlinear Evolution and Chaotic Phenomena |
Author(s): | |
Date: | 1988 |
Size: | 1 online resource (337 p.) |
Note: | 10.1007/978-1-4613-1017-4 |
Contents: | Conference Summary -- Chaotic Maps -- Complicated Objects on Regular Trees -- Renormalization Group Methods for Circle Mappings -- Phase Transitions on Strange Sets -- Stochastic Perturbations of the Invariant Measure of Some |
Hyperbolic Dynamical Systems -- Fixed Points of Composition Operators -- Differentiable Structures on Fractal Like Sets, Determined by Intrinsic Scaling Functions on Dual Cantor Sets -- Classical Mechanics-Particles and Fluids -- | |
Painlevé: Property and Integrability -- Nekhoroshev-like Results for Hamiltonian Dynamical Systems -- Relaxation Times and the Foundations of Classical Statistical Mechanics in the Light of Modern Perturbation Theory -- Relevance of | |
Exponentially Large Time Scales in Practical Applications: Effective Fractal Dimensions in Conservative Dynamical Systems -- Numerical Results from Truncated Navier-Stokes Equations (Summary) -- A Simple and Compact Presentation of | |
Birkhoff Series -- Two Lectures on Chaotic Dynamics in the Solar System -- Quantum Chaos -- Quantum Chaology of Energy Levels Notes Based on Lectures by Michael Berry -- Quantum Mechanics and Chaos -- Statistical Mechanics -- Dynamics | |
of Automota, Spin Glasses and Neural Network Models -- On the Weakly Coupled Lorentz Gas -- Dynamical System Describing the Low Temperature Phase of a Driven Lattice Gas -- Computing Bounds on Critical Indices -- A Thermodynamic Active | |
System in Regular and Chaotic Motion -- Experiments -- Experiment and Theory of the Classically Chaotic Motion of the Bound Electron -- Shil’nikov Chaos in Lasers -- Recent Results of Experiments with Staffman-Taylor Flow -- | |
Instabilities and Chaos in Rotating Fluids -- From Chaos to Turbulence in an Helium Experiment (Summary) -- Complex Dynamics in Experiments on a Chemical Reaction (Summary) -- Addenda -- Additional Contributed Seminars -- Contributors | |
ISBN: | 9781461310174 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series B: Physics: 176 |
Keywords: | Physics , Atoms , Physics , Atomic, Molecular, Optical and Plasma Physics |
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Call number: | SPRINGER-1987-9783642718670:ONLINE Show nearby items on shelf |
Title: | Energy Transfer Dynamics Studies and Essays in Honor of Herbert Fröhlich on His Eightieth Birthday |
Author(s): | |
Date: | 1987 |
Size: | 1 online resource (352 p.) |
Note: | 10.1007/978-3-642-71867-0 |
Contents: | I Physics -- 1. Nonadiabatic Processes in Surface Physics -- 2. Dielectrics - the Fröhlich Connection -- 3. Some comments on the Role of Electrodes in Dielectric Breakdown of Solids -- 4. Multipolar Fluctuations in a Dielectric Sphere |
-- 5. Nonlinear Physics of Electronic and Optical Materials for Submicron Device Applications -- 6. Relativistic Characteristics of Electrons in Simple Nonparabolic Energy Bands -- 7. Breakdown of Invariants in Nonlinear Systems -- 8. | |
Dynamics of Interacting Electrons in Aperiodic Solids -- 9. Quantum Statistical Basis of Thermodynamics with Phase Structure -- 10. On Molecular Control -- 11. Structure of Liquid 1-alkanols and Some Isomers -- 12. Surface Transport in | |
Time and Frequency Domains -- 13. Absolute Entropy and the Problem of Microscopic Measurement -- 14. From Theoretical Physics to Biology: the Forward Path of Theory with Herbert Fröhlich -- II Biophysics -- 15. On Davydov Solitons at | |
310 -- 16. Comparisons of Optical Absorption by Impurity Center and by Polarons in Crystalline Acetanilide -- 17. The Vibrational Soliton: an Experimental Overview -- 18. Long-lived and Large-coherence Length Excitations in the DNA | |
Double Helix -- 19. Far Infrared Spectra of Biomolecules -- 20. Spectral Dimensions of Paramagnetic Proteins -- 21. The Role of Chaos in Biological Systems -- 22. Non-Thermally Excited Modes and Free Energy Transduction in Proteins and | |
Biological Membranes -- 23. Herbert Fröhlich, and the New Biophysics of Cooperativity -- 24. Opposite Long-range Interactions Between Normal and Malignant Cells -- 25. Hopping Charge Carriers in Molecular Crystals and Biopolymers: the | |
Fröhlich Connection -- 26. Cellular Molecular Processes Driven by Cell-Generated AC Electric Field -- 27. Evidence for AC Fields from Living Biological Cells -- 28. On Morphogenesis in Living Systems -- 29. Generalities: Living Systems | |
and Dielectrics -- 30. Dielectric Spectroscopy, Dielectrophoresis and Field Interactions with Biological Materials -- 31. Condensed Matter Physics and the Biology of the Future -- Publications of H. Fröhlich from 1930–1985 | |
ISBN: | 9783642718670 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Biochemistry , Phase transitions (Statistical physics) , Biophysics , Biological physics , Optical materials , Electronic materials , Physics , Phase Transitions and Multiphase Systems , Optical and Electronic Materials , Biophysics and Biological Physics , Biochemistry, general |
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Call number: | SPRINGER-1986-9783642696923:ONLINE Show nearby items on shelf |
Title: | Dynamics of Hierarchical Systems An Evolutionary Approach |
Author(s): |
John S Nicolis |
Date: | 1986 |
Size: | 1 online resource (397 p.) |
Note: | 10.1007/978-3-642-69692-3 |
Contents: | 1. Introduction -- 1.1 What This Book Is About -- 1.2 Statement of the Problem -- 1.3 Some Preliminary Definitions of Complexity and Organization -- 2. Preliminaries from Nonlinear Dynamics and Statistical Physics -- 2.1 Symmetries |
and Conservation Principles -- 2.2 Instabilities at the Root of Broken Symmetries, Dissipation, and Irreversibility for Low-Dimensional (Not Statistical) Dynamical Systems -- 2.3 Elements of Statistical Physics and Their Relevance to | |
Evolutionary Phenomena -- 2.4 Concluding Remarks -- 3. The Role of Spherical Electromagnetic Waves as Information Carriers -- 3.1 Radiation from Accelerated Charge in Vacuo. The Concept of “Self”-Force. Thermodynamics of | |
Electromagnetic Radiation -- 3.2 Electromagnetic Wave Propagation in Dispersive Media and Lossy Media -- 3.3 Analysis of a Spherical Wave in Terms of Elemental “Rays”. The Mode Theory of Wave Propagation. Excitable Modes (Degrees of | |
Freedom) in a Closed Cavity -- 3.4 The Entropy of Electromagnetic Radiation. Information Received by an Electromagnetic Wave Impinging on a Finite Aperture. Ambiguity of Perception -- 4. Elements of Information and Coding Theory, with | |
Applications -- 4.1 Information Transfer and the Concept of Channel Capacity for Discrete and Continuous Memoryless Signals -- 4.2 Some Ideas from Coding Theory Instrumental in Minimizing Reception Error -- 4.3 Some Efficient Coding | |
Algorithms for Source-Channel Matching and Single-Error Detection and Correction -- 4.4 Information Sources with Memory. Markov Chains -- 4.5 Specific Examples of Some Useful Channels and Calculations of Their Capacities -- 4.6 | |
Modeling of Stochastic Time Series -- 4.7 Communication Between Two Hierarchical Systems Modeled by Controlled Markov Chains -- 4.8 Emergence of New Hierarchical Levels in a Self-Organizing System -- 5. Elements of Game Theory, with | |
Applications -- 5.1 Constant-Sum Games -- 5.2 Non-Constant-Sum Games -- 5.3 Competing Species -- 5.4 Survival and Extinction -- 5.5 Some Elementary Knowledge from Genetics: Selection and Fitness -- 5.6 Games Between Animals Adopting | |
Specific Modes of Behavior (Roles). Concepts of Evolutionarily Stable Strategy -- 5.7 The Game of Competitive-Cooperative Production and Exchange. The Concept of “Parasite” at a Symbolic Level -- 5.8 Epidemiology of Rumors -- 6. | |
Stochasticiky Due to Deterministic Dynamics in Three- or Higher-Dimensional Space: Chaos and Strange Attractors -- 6.1 A Reappraisal of Classical Statistical Mechanics. The Kolmogorov-Arnold-Moser Theorem -- 6.2 Dynamics in | |
Three-Dimensional State Space (Three Degrees of Freedom). Steady States, Limit Cycles, Attracting Tori -- 6.3 Strange Attractors -- 6.4 Parameters Characterizing the Average Behavior of Strange Attractors: Dimensions, Entropies, and | |
Lyapounov Exponents -- 6.5 A Possible Role for Chaos in Reliable Information Processing -- 6.6 Comments on the Effects of Internal Fluctuations and External Noise on the Stability Properties of Dynamical Systems -- 7. Epilogue: | |
Relevance of Chaos to Biology and Related Fields -- 7.1 Computational Complexity -- 7.2 Towards a Dynamic Theory of Language -- 7.3 Concluding Remarks -- A. A View of the Role of External Noise at a Neuronal Hierarchical Level -- A.1 | |
Introduction to the Problem -- A.2 Organization Through Weak Stationary-Amplitude Noise -- A.3 Relevance of the Model to Neuronal and Cognitive Organization -- B. On the Difficulty of Treating the Transaction Between Two Hierarchical | |
Levels with Continuous Nonlinear Dynamics -- B.1 The Level Q of Partner I -- B.2 Homeostasis and Cross-Correlations -- B.3 The Level W of Partner I -- B.4 The Controller -- C. Noisy Entrainment of a Slightly Nonlinear Relaxation | |
Oscillator by an External Harmonic Excitation -- C.1 General Description of the Model -- C.2 A Method for the Study of Entrainment -- C.2.1 Strict Entrainment -- C.2.2 Loose or “Jittery” Entrainment -- C.2.3 Pure “Free-Running” | |
Oscillation -- C.2.4 Free-Running Oscillation -- C.3 Mathematical Treatment and Computer Simulation -- C.4 Behavior of the Oscillator Under an Applied Harmonic Excitation (Entrainment) -- References | |
ISBN: | 9783642696923 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Series in Synergetics: 25 |
Keywords: | Physics , Physics , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-1985-9783662024492:ONLINE Show nearby items on shelf |
Title: | Dynamical Problems in Soliton Systems Proceedings of the Seventh Kyoto Summer Institute, Kyoto, Japan, August 27–31, 1984 |
Author(s): | |
Date: | 1985 |
Size: | 1 online resource (284 p.) |
Note: | 10.1007/978-3-662-02449-2 |
Contents: | I Mathematical Theory of Solitons -- Some Aspects of Soliton Dynamics -- Approximations for the Inverse Scattering Transform -- Hamiltonian Structures of Soliton Equations via Constrained Variational Calculus -- Perturbative Studies |
of the Zakharov-Shabat Scattering Problem -- The Zabolotskaya-Khokhlov Equation and the Inverse Scattering Problem of Classical Mechanics -- Fundamental Properties of the Binary Operators in Soliton Theory and Their Generalization -- | |
On an Exactly Solvable Nonlinear Diffusion Equation -- Hirota’s Method and the Painlevé Property -- A New Approach to Completely Integrable Partial Differential Equations by Means of the Singularity Analysis -- II Field Theory and | |
Statistical Mechanics of Solitons -- Quantum Inverse Scattering Method -- Yang-Baxter Algebras and Integrable Models in Field Theory and Statistical Mechanics -- Solitons in the Quantum Toda Lattice -- Recent Progress in Quantum | |
Inverse Scattering Method — Baxter Hierarchy and Its Applications -- Quantum Three Wave Interaction Models: Bethe Ansatz and Statistical Mechanics -- Quantum and Classical Statistical Mechanics of the Non-Linear Schrödinger, | |
Sinh-Gordon and Sine-Gordon Equations -- Classical Statistical Mechanics of Ìntegrable Systems -- Correlation Functions of the Non-Ideal Gas of Sine-Gordon Solitons -- Classical Solutions for the Grassmannian Sigma Models and Their | |
Supersymmetric Versions -- Einstein Equations, Non-Linear Sigma Models and Self-Dual Yang-Mills Theory -- III Solitons in Plasma Physics and Hydrodynamics -- Soliton Resonance in Plasmas -- Equilibrium Solutions in a Nonlinear | |
Dispersive System with Instability and Damping -- Exact Solutions of Two-Dimensional Vortex Systems in Statistical Equilibrium -- Regular and Chaotic Motion of Two-Dimensional Point Vortices -- Explode-Decay Solitons -- IV Solitons in | |
Condensed Matter Physics -- A Field Theorist’s View of Conducting Polymers: Solitons in Polyacetylene and Related Systems -- Soliton, Polaron, Phonons in Polyacetylene and Their Interactions -- Soliton-like Excitations and Their | |
Interactions in the Continuum Model of Polyacetylene -- Lattice Relaxation Theory of Soliton and Polaron Generation in Polyacetylene -- Breathers in the PPP Model of Polyacetylene -- On the Nonlinear Excitations in One-Dimensional | |
Uniaxial Anisotropic Heisenberg Ferromagnetic Spin Chain in External Magnetic Fields -- V Solitons in Biological Systems -- Solitons and Excitons in Quasi-One-Dimensional Systems -- Biological Solitons -- Experiments for the Detection | |
of Solitons in Biopolymers -- Solitary Excitations in DNA Double Helices -- VI Solitons and Chaos -- Pattern Selection and Low-Dimensional Chaos in Systems of Coupled Nonlinear Oscillators -- Solitons and Chaos in the Sine-Gordon | |
System -- Soliton Propagation Properties in a Josephson Transmission Line -- A Soliton as an Attractor of a Driven Damped Nonlinear Schrödinger Equation -- Kinks and Spatially Complex Behavior in One-Dimensional Coupled Map Lattices -- | |
Photograph of the Participants of the Seminar -- Index of Contributors | |
ISBN: | 9783662024492 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Series in Synergetics: 30 |
Keywords: | Science , Science , Science, general |
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Call number: | SPRINGER-1984-9783642695599:ONLINE Show nearby items on shelf |
Title: | Chaos and Statistical Methods Proceedings of the Sixth Kyoto Summer Institute, Kyoto, Japan September 12–15, 1983 |
Author(s): | |
Date: | 1984 |
Size: | 1 online resource (273 p.) |
Note: | 10.1007/978-3-642-69559-9 |
Contents: | I General Concepts -- Coarse Graining Revisited —The Case of Macroscopic Chaos -- Gibbs Variational Principle and Fredholm Theory for One-Dimensional Maps -- Truncated Development of Chaotic Attractors in a Map when the Jacobian is |
not Small -- II Fractals in Dynamical and Stochastic Systems -- On the Dynamics of Iterated Maps VIII: The Map z??(z+1/z), from Linear to Planar Chaos, and the Measurement of Chaos -- Self-Similar Natural Boundaries of Non-Integrable | |
Dynamical Systems in the Complex t Plane -- Topological Phase Transitions -- Dynamical System Related to an Almost Periodic Schrödinger Equation -- Mean Field Hausdorff Dimensions of Diffusion-Limited and Related Aggregates -- III | |
Onset of Chaos -- Stability of the Scenarios Towards Chaos -- Functional Renormalization-Group Equations Approach to the Transition to Chaos -- Collapse of Tori in Dissipative Mappings -- Periodic Forcing Near Intermittency Threshold — | |
Resonance and Collapse of Tori -- Perturbation Theory Analysis of Bifurcations in a Three-Dimensional Differential System -- IV One-Dimensional Mappings -- Noise-Induced Order — Complexity Theoretical Digression -- Symbolic Dynamics | |
Approach to Intermittent Chaos — Towards the Comprehension of Large Scale Self-Similarity and Asymptotic Non-Stationarity -- Diffusion and Generation of Non-Gaussianity in Chaotic Discrete Dynamics -- Analytic Study of Power Spectra of | |
Intermittent Chaos -- V Bifurcations and Normal Forms -- Versal Deformation of Singularities and Its Applications to Strange Attractors -- Some Codimension-Two Bifurcations for Maps, Leading to Chaos -- Bifurcations in Doubly Diffusive | |
Convection -- Strange Attractors in a System Described by Nonlinear Differential-Difference Equation -- Coupled Chaos -- Bifurcations in 2D Area-Preserving Mappings -- VI Soliton Systems -- Chaotic Behavior Induced by Spatially | |
Inhomogeneous Structures such as Solitons -- Chaotic Behaviour of Quasi Solitons in a Nonlinear Dispersive System -- VII Fluid Dynamics -- Inviscid Singularity and Relative Diffusion in Intermittent Turbulence -- Computational | |
Synergetics and Innovation in Wave and Vortex Dynamics -- A Scalar Model of MHD Turbulence -- The Analytic Structure of Turbulent Flows -- Low Prandtl Number Fluids, a Paradigm for Dynamical System Studies -- Chaotic Attractors in | |
Rayleigh-Benard Systems -- Onset of Chaos in Some Hydrodynamic Model Systems of Equations -- VIII Chemical and Optical Systems -- Instabilities and Chaos in a Chemical Reaction -- Optical Turbulence -- IX Anomalous Fluctuations -- | |
Scaling Theory of Relative Diffusion in Chaos and Turbulence -- 1/f Resistance Fluctuations -- Index of Contributors | |
ISBN: | 9783642695599 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Series in Synergetics: 24 |
Keywords: | Physics , Biochemistry , Probabilities , Statistics , Physics , Theoretical, Mathematical and Computational Physics , Biochemistry, general , Probability Theory and Stochastic Processes , Statistics, general |
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Call number: | SPRINGER-1984-9781468485684:ONLINE Show nearby items on shelf |
Title: | Nonequilibrium Cooperative Phenomena in Physics and Related Fields |
Author(s): | |
Date: | 1984 |
Size: | 1 online resource (569 p.) |
Note: | 10.1007/978-1-4684-8568-4 |
Contents: | A. Introduction: Synergetics and Non-Equilibrium Phase Transitions -- Synergetics -- Phase transition analogies: magnets, lasers and fluid flows -- B. Lasers and Quantum Optics -- Collective phenomena in Quantum Optics -- Optical |
Bistability and related topics -- Laser with intracavity absorber: Q-switching and multistable nonlinear oscillations and chaos -- Non-linear operation of CO2 lasers with intracavity saturable absorbers -- Structurally stable | |
bifurcations in optical bistability -- C. Action of Intense Laser Fields -- Allowed nuclear beta decay in an intense laser field -- D. Instabilities and Convection in Liquids and Liquid Crystals -- Thermohydrodynamic instabilities: | |
Buoyancy-thermocapillary convection -- Thermohydrodynamic instability in nematic liquid crystals: a summary of arguments and conditions for some simple geometries -- Neutron scattering studies of phase transitions in equilibrium and | |
nonequilibrium systems -- Electrothermal instabilities in dielectric liquids -- Electrohydrodynamic instabilities in nematic with homeotropic boundaries -- E. Convection Diffusion and Reaction -- Gyrotactic buoyant convection and | |
spontaneous pattern formation in algal cell cultures -- Experimental investigations of precipitation patterns -- F. Combustion -- Optical diagnosis in flows — Applications — Experiments in Combustion -- Theory of gaseous combustion -- | |
Bifurcation in Heterogeneous Combustion -- G. Instabilities and Nonlinear Phenomena in Solids -- Thermoelasticity and mechanical instabilities -- Non-Equilibrium effects seen in molecular dynamics calculations of Shock waves in Solids | |
-- H. Deterministic (Continuous and Discrete) Mathematics of Nonlinear Problems -- Current topics in reaction-diffusion systems -- Discrete nonlinear dynamics -- Deterministic diffusion — A quality of Chaos -- I. Stochastic Description | |
of Non Linear Problems -- Stochastic space-time problems -- Stochastic theory of transition phenomena in nonequilibrium systems -- Non-equilibrium systems with random control paramenters -- Non-white noise triggered oscillations in | |
nonlinear chemical process -- About some simple Fokker-Planck models -- Dynamics of symmetry breaking: phase coherence in finite and random system -- Pictures of participants -- Participants -- Author Index | |
ISBN: | 9781468485684 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | NATO ASI Series, Series B: Physics: 116 |
Keywords: | Physics , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity |
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Call number: | SPRINGER-1984-9781461327899:ONLINE Show nearby items on shelf |
Title: | Nonlinear Electrodynamics in Biological Systems |
Author(s): | |
Date: | 1984 |
Size: | 1 online resource (604 p.) |
Note: | 10.1007/978-1-4613-2789-9 |
Contents: | Nonlinear Effects of Electromagnetic Fields on Whole Organisms, Living Tissues and Tissue Preparations -- Nonlinear, Nonequilibrium Aspects of Electromagnetic Field Interactions at Cell Membranes -- Use of Bone Cell Hormone Response |
Systems to Investigate Bioelectromagnetic Effects on Membranes In Vitro -- Strong Interactions of Radiofrequency Fields With Nucleic Acid -- Nonthermal Resonant Action of Millimeter Microwaves on Yeast Growth -- Effects on Nervous | |
Tissue of Exposure to Electromagnetic Fields -- Neurotransmitter Release Stimulated in a Clonal Nerve Cell Line by Low Intensity Pulsed Magnetic Fields -- Natural AC Electric Fields In and About Cells -- Nonlinear Dynamics of Organic | |
Molecules, Including Biomolecules -- The Energetics and Molecular Dynamics of the Proton Pumping Photocycle in Bacteriorhodopsin -- Presence of Nonlinear Excitations in DNA Structure and Their Relationship to DNA Premelting and to Drug | |
Intercalation -- Solitons and Bioenergetics -- Nonlinear Dynamics of Globular Proteins -- Solitons in Synthetic and Biological Polymers -- Picosecond Relaxations in Proteins and Biopolymers Observed by MM-Wave Spectroscopy -- Nonlinear | |
Mechanisms in Molecular Energy Transfer -- Nonlinear Excitations in Polyacetylene -- Prospects for a Bioelectronic Technology -- Communication With Submicron Structures: Perspectives in the Application of Biomolecules to Computer | |
Technology -- Langmuir-Blodgett Films in Microelectronics -- Nonlinear Tunneling Barriers at High Frequencies and Their Possible Logic Processing Function in Biological Membrane -- Molecular Electronics: An Opportunity for a | |
Biotechnical Synergism -- Nonlinear Electrodynamics in Cellular Electrochemistry -- Radiofrequency Radiation and Chemical Reaction Dynamics -- On the Growth of Cellular Tissues Under Constant and Environmental Conditions -- Ionic | |
Currents and Field Effects in Neural Extracellular Spaces -- Frequency Selective Propagation of Extracellular Electrical Stimuli to Intracellular Compartments -- Electromagnetic Surface Wave Penetration of Biological Media -- Models of | |
Nonlinear Processes -- Conceptual Models of Cooperative Processes in Nonlinear Electrodynamics -- Entrainment-Quasiperiodicity-Chaos-Collaps: Bifurcation Routes of Externally Driven Self-Sustained Oscillating Systems -- Field Induced | |
Resonance and Chaos in Nonlinear Conservative Systems -- Solitary Waves As Fixed Points of Infinite Dimensional Maps -- Nonlinear Phenomena in a Dispersive System With Application to Water Waves -- Boson Condensation in Biological | |
Systems -- Order and Structures in Living Systems -- Applications of Nonlinear Physics in Biophysics, Biochemistry and Cell Biology -- General Theory of Coherent Excitations in Biological Systems -- Millimeter-Wave and Far-Infrared | |
Spectroscopic Properties of Cellular Systems -- Spectroscopic Studies of Nerves -- The Modification of Davydov Solitons by the Extrinsic H-N-C=O Group -- Nonlinear Phenomena in Bioenergetics and Oncology as Seen in 25 Years of Research | |
With Millimeter Microwaves and Raman Spectroscopy -- Nonlinear Electrodynamics in Cytoskeletal Protein Lattices -- Bridging the Gap | |
ISBN: | 9781461327899 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Biophysics , Biological physics , Physics , Biophysics and Biological Physics |
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Call number: | SPRINGER-1983-9783642883385:ONLINE Show nearby items on shelf |
Title: | Synergetics An Introduction |
Author(s): |
Hermann Haken |
Date: | 1983 |
Edition: | Third Revised and Enlarged Edition |
Size: | 1 online resource (390 p.) |
Note: | 10.1007/978-3-642-88338-5 |
Contents: | 1. Goal -- 1.1 Order and Disorder: Some Typical Phenomena -- 1.2 Some Typical Problems and Difficulties -- 1.3 How We Shall Proceed -- 2. Probability -- 2.1 Object of Our Investigations: The Sample Space -- 2.2 Random Variables -- 2.3 |
Probability -- 2.4 Distribution -- 2.5 Random Variables with Densities -- 2.6 Joint Probability -- 2.7 Mathematical Expectation E(X), and Moments -- 2.8 Conditional Probabilities -- 2.9 Independent and Dependent Random Variables -- | |
2.10 Generating Functions and Characteristic Functions -- 2.11 A Special Probability Distribution: Binomial Distribution -- 2.12 The Poisson Distribution -- 2.13 The Normal Distribution (Gaussian Distribution) -- 2.14 Stirling’s | |
Formula -- 2.15 Central Limit Theorem -- 3. Information -- 3.1 Some Basic Ideas -- 3.2 Information Gain: An Illustrative Derivation -- 3.3 Information Entropy and Constraints -- 3.4 An Example from Physics: Thermodynamics -- 3.5 An | |
Approach to Irreversible Thermodynamics -- 3.6 Entropy—Curse of Statistical Mechanics? -- 4. Chance -- 4.1 A Model of Brownian Movement -- 4.2 The Random Walk Model and Its Master Equation -- 4.3 Joint Probability and Paths. Markov | |
Processes. The Chapman-Kolmogorov Equation. Path Integrals -- Sections with an asterisk in the heading may be omitted during a first reading. -- 4.4 How to Use Joint Probabilities. Moments. Characteristic Function. Gaussian Processes | |
-- 4.5 The Master Equation -- 4.6 Exact Stationary Solution of the Master Equation for Systems in Detailed Balance -- 4.7 The Master Equation with Detailed Balance. Symmetrization, Eigenvalues and Eigenstates -- 4.8 Kirchhoff’s Method | |
of Solution of the Master Equation -- 4.9 Theorems about Solutions of the Master Equation -- 4.10 The Meaning of Random Processes, Stationary State, Fluctuations, Recurrence Time -- 4.11 Master Equation and Limitations of Irreversible | |
Thermodynamics -- 5. Necessity -- 5.1 Dynamic Processes -- 5.2 Critical Points and Trajectories in a Phase Plane. Once Again Limit Cycles -- 5.3 Stability -- 5.4 Examples and Exercises on Bifurcation and Stability -- 5.5 Classification | |
of Static Instabilities, or an Elementary Approach to Thorn’s Theory of Catastrophes -- 6. Chance and Necessity -- 6.1 Langevin Equations: An Example -- 6.2 Reservoirs and Random Forces -- 6.3 The Fokker-Planck Equation -- 6.4 Some | |
Properties and Stationary Solutions of the Fokker-Planck-Equation -- 6.6 Time-Dependent Solutions of the Fokker-Planck Equation -- 6.6 Solution of the Fokker-Planck Equation by Path Integrals -- 6.7 Phase Transition Analogy -- 6.8 | |
Phase Transition Analogy in Continuous Media: Space-Dependent Order Parameter -- 7. Self-Organization -- 7.1 Organization -- 7.2 Self-Organization -- 7.3 The Role of Fluctuations: Reliability or Adaptibility? Switching -- 7.4 Adiabatic | |
Elimination of Fast Relaxing Variables from the Fokker-Planck Equation -- 7.5 Adiabatic Elimination of Fast Relaxing Variables from the Master Equation -- 7.6 Self-Organization in Continuously Extended Media. An Outline of the | |
Mathematical Approach -- 7.7 Generalized Ginzburg-Landau Equations for Nonequilibrium Phase Transitions -- 7.8 Higher-Order Contributions to Generalized Ginzburg-Landau Equations -- 7.9 Scaling Theory of Continuously Extended | |
Nonequilibrium Systems -- 7.10 Soft-Mode Instability -- 7.11 Hard-Mode Instability -- 8. Physical Systems -- 8.1 Cooperative Effects in the Laser: Self-Organization and Phase Transition -- 8.2 The Laser Equations in the Mode Picture -- | |
8.3 The Order Parameter Concept -- 8.4 The Single-Mode Laser -- 8.5 The Multimode Laser -- 8.6 Laser with Continuously Many Modes. Analogy with Superconductivity -- 8.7 First-Order Phase Transitions of the Single-Mode Laser -- 8.8 | |
Hierarchy of Laser Instabilities and Ultrashort Laser Pulses -- 8.9 Instabilities in Fluid Dynamics: The Bénard and Taylor Problems -- 8.10 The Basic Equations -- 8.11 The Introduction of New Variables -- 8.12 Damped and Neutral | |
Solutions (R ? Rc) -- 8.13 Solution Near R = Rc (Nonlinear Domain). Effective Langevin Equations -- 8.14 The Fokker-Planck Equation and Its Stationary Solution -- 8.15 A Model for the Statistical Dynamics of the Gunn Instability Near | |
Threshold -- 8.16 Elastic Stability: Outline of Some Basic Ideas -- 9. Chemical and Biochemical Systems -- 9.1 Chemical and Biochemical Reactions -- 9.2 Deterministic Processes, Without Diffusion, One Variable -- 9.3 Reaction and | |
Diffusion Equations -- 9.4 Reaction-Diffusion Model with Two or Three Variables: The Brusselator and the Oregonator -- 9.5 Stochastic Model for a Chemical Reaction Without Diffusion. Birth and Death Processes. One Variable -- 9.6 | |
Stochastic Model for a Chemical Reaction with Diffusion. One Variable -- 9.7 Stochastic Treatment of the Brusselator Close to Its Soft-Mode Instability -- 9.8 Chemical Networks -- 10. Applications to Biology -- 10.1 Ecology, | |
Population-Dynamics -- 10.2 Stochastic Models for a Predator-Prey System -- 10.3 A Simple Mathematical Model for Evolutionary Processes -- 10.4 A Model for Morphogenesis -- 10.5 Order Parameters and Morphogenesis -- 10.6 Some Comments | |
on Models of Morphogenesis -- 11. Sociology and Economics -- 11.1 A Stochastic Model for the Formation of Public Opinion -- 11.2 Phase Transitions in Economics -- 12. Chaos -- 12.1 What is Chaos? -- 12.2 The Lorenz Model. Motivation | |
and Realization -- 12.3 How Chaos Occurs -- 12.4 Chaos and the Failure of the Slaving Principle -- 12.5 Correlation Function and Frequency Distribution -- 12.6 Discrete Maps, Period Doubling, Chaos, Intermittency -- 13. Some Historical | |
Remarks and Outlook -- References, Further Reading, and Comments | |
ISBN: | 9783642883385 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Series in Synergetics: 1 |
Keywords: | Mathematics , Biochemistry , Dynamics , Ergodic theory , System theory , Physics , Mathematics , Dynamical Systems and Ergodic Theory , Systems Theory, Control , Theoretical, Mathematical and Computational Physics , Biochemistry, general |
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Call number: | SPRINGER-1982-9783540389828:ONLINE Show nearby items on shelf |
Title: | Mathematical Problems in Theoretical Physics Proceedings of the VIth International Conference on Mathematical Physics Berlin (West), August 11–20,1981 |
Author(s): | |
Date: | 1982 |
Size: | 1 online resource (432 p.) |
Note: | 10.1007/3-540-11192-1 |
Contents: | On some problems associated with the foundation of statistical mechanics -- Regrüssungsansprache zur 6th international conference on mathematical physics Berlin 1981 -- Periodicity and the onset of chaos -- Lorentz gas and random |
walks -- The Kosterlitz-Thouless transition -- Mechanical models of Brownian motion -- Goldstone theorem in statistical mechanics -- Some inequalities related to roughening -- Self-diffusion as an example for the hydrodynamic limit -- | |
Geometric analysis of ?4 fields and Ising models -- Some topics in quantum field theory -- What is the state space of quantum electrodynamics? -- Results and problems near the interface between statistical mechanics and quantum field | |
theory -- A renormalization group based convergent expansion for a class of massless lattice models -- Phase diagrams for iow temperature p(?)2 quantum field models -- Covariant representations of massless fermi fields -- Singularities | |
in fluid dynamics -- The boost problem -- Singularities, cauchy horizons and extensions of a large class of Einstein-Maxwell spacetimes -- Asymptotic structure in general relativity -- Yang-mills theory in a multiply connected three | |
space -- Recent developments in supergravity -- Bragg scattering from point interactions: An explicit formula for the reflection coefficient -- Stability of molecular eigenstates -- Description of the semiclassical limit of quantum | |
mechanics in terms of diffusion processes -- Algebraic approach to some propagation properties of the Schrodinger equation -- Scattering theory for time-dependent Hamiltonians -- How do eigenfunctions decay? The case of N-body quantum | |
systems -- Geometric methods in quantum many-body problem -- Almost periodic Schröder operators: A review -- Scattering theory for obstacles with infinite boundaries -- Experimental tests of Bell's inequalities -- Mathematical | |
structure of orthodox quantum theory and its relation to operationally definable physical principles -- Connections of different approaches to the foundation of quantum mechanics based on a description of preparing and recording of | |
microsystems -- What is wrong in Orthodox Quantum Theory -- Parallel session on the foundations of quantum mechanics -- Parallel session on the foundations of quantum mechanics -- Integrable systems in multidimensional spaces -- | |
Ordinary differential equations and the symmetric eigenvalue problem -- Theory of ? functions in integrable systems -- The Kirchhoff type equations and multivalued functionals -- Singularities of solutions of semilinear wave equations | |
-- New results for classical gauge theories: Qualitative and exact -- Lattice gauge theory -- Some applications of functional integration -- Stochastic jump processes in the phase space representation of quantum mechanics -- | |
Applications of jump processes to quantum mechanics and relativistic bose field theory -- Quantum stochastic processes -- Generalized brownian functionals -- A cameron-martin formula for feynman integrals (The origin of the Maslov | |
indices) -- Intstanton gas parameters in the double well model -- Scattering theory and automorphic functions -- Extensions of unitary irreducible representations of poincare group. Application to quantum field theory -- Nonlinear | |
group representations and applications to nonlinear equations -- Supersymmetry, supergravity and geometry -- Deformation theory applied to quantization and group representations -- Conformal invariance IN (gauge) quantum field theory | |
-- On the representations of the group diffeomorphisms and the local current algebra -- Presentation of the contributions in group theory at this conference -- Generalized gauge theories and the constituents of massless particles -- | |
Symmetry in condensed matther physics -- Singular unitary representations and indefinite harmonic theory -- Schrödinger operators with almost periodic potemntial: An overview -- A note on non-linear aspects of QFT -- Locality and the | |
structure of particle states in gauge field theories -- Modular automorphisms of local algebras in quantum field theory -- The Search for Quantum Differential Geometry -- On the spectrum of schrödinger operators with a random potential | |
-- Localization : Physical picture and exact results -- Diffusion in one-dimensional lattice systems with random transfer rates -- Edward's model for long polymer chains -- On the status of QCD -- Some advances and problems in | |
classical general relativity -- From general relativity to quantum gravity | |
ISBN: | 9783540389828 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 153 |
Keywords: | Physics , Physics , Theoretical, Mathematical and Computational Physics , Mathematical Methods in Physics , Numerical and Computational Physics |
Availability: | Click here to see Library holdings or inquire at
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Call number: | SPRINGER-1978-9783642964695:ONLINE Show nearby items on shelf |
Title: | Synergetics An Introduction Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology |
Author(s): |
Hermann Haken |
Date: | 1978 |
Edition: | Second Enlarged Edition |
Note: | 10.1007/978-3-642-96469-5 |
Contents: | 1. Goal -- 1.1 Order and Disorder: Some Typical Phenomena -- 1.2 Some Typical Problems and Difficulties -- 1.3 How We Shall Proceed -- 2. Probability -- 2.1 Object of Our Investigations: The Sample Space -- 2.2 Random Variables -- 2.3 |
Probability -- 2.4 Distribution -- 2.5 Random Variables with Densities -- 2.6 Joint Probability -- 2.7 Mathematical Expectation E(X), and Moments -- 2.8 Conditional Probabilities -- 2.9 Independent and Dependent Random Variables -- | |
2.10*Generating Functions and Characteristic Functions -- 2.11 A Special Probability Distribution: Binomial Distribution -- 2.12 The Poisson Distribution -- 2.13 The Normal Distribution (Gaussian Distribution) -- 2.14 Stirling’s | |
Formula -- 2.15*Central Limit Theorem -- 3. Information -- 3.1 Some Basic Ideas -- 3.2* Information Gain: An Illustrative Derivation -- 3.3 Information Entropy and Constraints -- 3.4 An Example from Physics: Thermodynamics -- 3.5* An | |
Approach to Irreversible Thermodynamics -- 3.6 Entropy—Curse of Statistical Mechanics? -- 4. Chance -- 4.1 A Model of Brownian Movement -- 4.2 The Random Walk Model and Its Master Equation -- 4.3* Joint Probability and Paths. Markov | |
Processes. The Chapman-Kolmogorov Equation. Path Integrals -- 4.4* How to Use Joint Probabilities. Moments. Characteristic Function. Gaussian Processes -- 4.5 The Master Equation -- 4.6 Exact Stationary Solution of the Master Equation | |
for Systems in Detailed Balance -- 4.7* The Master Equation with Detailed Balance. Symmetrization, Eigenvalues and Eigenstates -- 4.8* Kirchhoff’s Method of Solution of the Master Equation -- 4.9* Theorems about Solutions of the Master | |
Equation -- 4.10 The Meaning of Random Processes. Stationary State, Fluctuations, Recurrence Time -- 4.11*Master Equation and Limitations of Irreversible Thermodynamics -- 5. Necessity -- 5.1 Dynamic Processes -- 5.2* Critical Points | |
and Trajectories in a Phase Plane. Once Again Limit Cycles -- 5.3* Stability -- 5.4 Examples and Exercises on Bifurcation and Stability -- 5.5* Classification of Static Instabilities, or an Elementary Approach to Thorn’s Theory of | |
Catastrophes -- 6. Chance and Necessity -- 6.1 Langevin Equations: An Example -- 6.2* Reservoirs and Random Forces -- 6.3 The Fokker-Planck Equation -- 6.4 Some Properties and Stationary Solutions of the Fokker-Planck Equation -- 6.5 | |
Time-Dependent Solutions of the Fokker-Planck Equation -- 6.6* Solution of the Fokker-Planck Equation by Path Integrals -- 6.7 Phase Transition Analogy -- 6.8 Phase Transition Analogy in Continuous Media: Space-Dependent Order | |
Parameter -- 7. Self-Organization -- 7.1 Organization -- 7.2 Self-Organization -- 7.3 The Role of Fluctuations: Reliability or Adaptibility? Switching -- 7.4* Adiabatic Elimination of Fast Relaxing Variables from the Fokker-Planck | |
Equation -- 7.5* Adiabatic Elimination of Fast Relaxing Variables from the Master Equation -- 7.6 Self-Organization in Continuously Extended Media. An Outline of the Mathematical Approach -- 7.7* Generalized Ginzburg-Landau Equations | |
for Nonequilibrium Phase Transitions -- 7.8* Higher-Order Contributions to Generalized Ginzburg-Landau Equations -- 7.9* Scaling Theory of Continuously Extended Nonequilibrium Systems -- 7.10*Soft-Mode Instability -- 7.1 l*Hard-Mode | |
Instability -- 8. Physical Systems -- 8.1 Cooperative Effects in the Laser: Self-Organization and Phase Transition -- 8.2 The Laser Equations in the Mode Picture -- 8.3 The Order Parameter Concept -- 8.4 The Single-Mode Laser -- 8.5 | |
The Multimode Laser -- 8.6 Laser with Continuously Many Modes. Analogy with Superconductivity -- 8.7 First-Order Phase Transitions of the Single-Mode Laser -- 8.8 Hierarchy of Laser Instabilities and Ultrashort Laser Pulses -- 8.9 | |
Instabilities in Fluid Dynamics: The Bénard and Taylor Problems -- 8.10 The Basic Equations -- 8.11 Damped and Neutral Solutions (R ? Rc) -- 8.12 Solution Near R = Rc (Nonlinear Domain). Effective Langevin Equations -- 8.13 The | |
Fokker-Planck Equation and Its Stationary Solution -- 8.14 A Model for the Statistical Dynamics of the Gunn Instability Near Threshold -- 8.15 Elastic Stability: Outline of Some Basic Ideas -- 9. Chemical and Biochemical Systems -- 9.1 | |
Chemical and Biochemical Reactions -- 9.2 Deterministic Processes, Without Diffusion, One Variable -- 9.3 Reaction and Diffusion Equations -- 9.4 Reaction-Diffusion Model with Two or Three Variables: The Brusselator and the Oregonator | |
-- 9.5 Stochastic Model for a Chemical Reaction Without Diffusion. Birth and Death Processes. One Variable -- 9.6 Stochastic Model for a Chemical Reaction with Diffusion. One Variable -- 9.7* Stochastic Treatment of the Brusselator | |
Close to Its Soft-Mode Instability -- 9.8 Chemical Networks -- 10. Applications to Biology -- 10.1 Ecology, Population-Dynamics -- 10.2 Stochastic Models for a Predator-Prey System -- 10.3 A Simple Mathematical Model for Evolutionary | |
Processes -- 10.4 A Model for Morphogenesis -- 10.5 Order Parameters and Morphogenesis -- 10.6 Some Comments on Models of Morphogenesis -- 11. Sociology: A Stochastic Model for the Formation of Public Opinion -- 12. Chaos -- 12.1 What | |
is Chaos? -- 12.2 The Lorenz Model. Motivation and Realization -- 12.3 How Chaos Occurs -- 12.4 Chaos and the Failure of the Slaving Principle -- 12.5 Correlation Function and Frequency Distribution -- 12.6 Further Examples of Chaotic | |
Motion -- 13. Some Historical Remarks and Outlook -- References, Further Reading and Comments | |
ISBN: | 9783642964695 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Series in Synergetics: 1 |
Keywords: | Physics , Chemistry , Life sciences , Physics , Physics, general , Chemistry/Food Science, general , Biomedicine general , Life Sciences, general |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
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