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SPIRES-BOOKS: FIND KEYWORD PENDULUM *END*INIT* use /tmp/qspiwww.webspi1/13329.61 QRY 131.225.70.96 . find keyword pendulum ( in books using www Cover
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Call number:SPRINGER-2016-9784431558828:ONLINE Show nearby items on shelf
Title:Classical Pendulum Feels Quantum Back-Action
Author(s): Nobuyuki Matsumoto
Date:2016
Edition:1st ed. 2016
Size:1 online resource (5 p.)
Note:10.1007/978-4-431-55882-8
Contents:Introduction -- Theory of Optomechanics -- Application of Optomechanics -- Optical Torsional Spring -- Experimental Setup -- Experimental Results -- The Future -- Conclusions.
ISBN:9784431558828
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Quantum physics , Observations, Astronomical , Astronomy , Astrophysics , Low temperature physics , Low temperatures , Lasers , Photonics , Optics , Optoelectronics , Plasmons (Physics) , Physics , Quantum Physics , Optics, Optoelectronics, Plasmonics and Optical Devices , Astronomy, Observations and Techniques , Laser Technology, Photonics , Astrophysics and Astroparticles , Low Temperature Physics
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Call number:SPRINGER-2016-9783319272658:ONLINE Show nearby items on shelf
Title:Basic Concepts in Computational Physics
Author(s): Benjamin A Stickler
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (409 p.)
Note:10.1007/978-3-319-27265-8
Contents:Some Basic Remarks -- Part I Deterministic Methods -- Numerical Differentiation -- Numerical Integration -- The KEPLER Problem -- Ordinary Differential Equations – Initial Value Problems -- The Double Pendulum -- Molecular Dynamics --
Numerics of Ordinary Differential Equations - Boundary Value Problems -- The One-Dimensional Stationary Heat Equation -- The One-Dimensional Stationary SCHRÖDINGER Equation -- Partial Differential Equations -- Part II Stochastic
Methods -- Pseudo Random Number Generators -- Random Sampling Methods -- A Brief Introduction to Monte-Carlo Methods -- The ISING Model -- Some Basics of Stochastic Processes -- The Random Walk and Diffusion Theory -- MARKOV-Chain
Monte Carlo and the POTTS Model -- Data Analysis -- Stochastic Optimization -- Appendix: The Two-Body Problem -- Solving Non-Linear Equations. The NEWTON Method -- Numerical Solution of Systems of Equations -- Fast Fourier Transform --
Basics of Probability Theory -- Phase Transitions -- Fractional Integrals and Derivatives in 1D -- Least Squares Fit -- Deterministic Optimization
ISBN:9783319272658
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Chemistry, Physical and theoretical , Computer mathematics , Applied mathematics , Engineering mathematics , Physics , Numerical and Computational Physics , Appl.Mathematics/Computational Methods of Engineering , Computational Mathematics and Numerical Analysis , Theoretical and Computational Chemistry
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Call number:SPRINGER-2014-9783319024356:ONLINE Show nearby items on shelf
Title:Basic Concepts in Computational Physics [electronic resource]
Author(s): Benjamin A. Stickler
Ewald Schachinger
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:With the development of ever more powerful computers a new branch of physics and engineering evolved over the last few decades: Computer Simulation or Computational Physics. It serves two main purposes: - Solution of complexmathematical problems such as, differential equations, minimization/optimization, or high-dimensional sums/integrals. - Direct simulation of physical processes, as for instance, molecular dynamics or Monte-Carlo simulation ofphysical/chemical/technical processes. Consequently, the book is divided into two main parts: Deterministic methods and stochastic methods. Based on concrete problems, the first part discusses numerical differentiation and integration,and the treatment of ordinary differential equations. This is augmented by n otes on the numerics of partial differential equations. The second part discusses the generation of random numbers, summarizes the basics of stochastics whichis then followed by the introduction of various Monte-Carlo (MC) methods. Specific emphasis is on MARKOV chain MC algorithms. All this is again augmented by numerous applications from physics. The final two chapters on Data Analysisand Stochastic Optimization share the two main topics as a common denominator. The book offers a number of appendices to provide the reader with more detailed information on various topics discussed in the main part. Nevertheless, thereader should be familiar with the most important concepts of statistics and probability theory albeit two appendices have been dedicated to provide a rudimentary discussion
Contents:Some Basic Remarks
Part I Deterministic Methods: Numerical Differentiation
Numerical Integration
The KEPLER Problem
Ordinary Differential Equations Initial Value Problems
The Double Pendulum
Molecular Dynamics
Numerics of Ordinary Differential Equations
Boundary Value Problems
The One
Dimensional Stationary Heat Equation
The One
Dimensional Stationary SCHRDINGER Equation
Numerics of Partial Differential Equations
Part II Stochastic Methods
Pseudo Random Number Generators
Random Sampling Methods
A Brief Introduction to Monte
Carlo Methods
The
ISBN:9783319024356
Series:eBooks
Series:SpringerLink
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Computer science Mathematics , Engineering mathematics
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Call number:SPRINGER-2012-9781461454441:ONLINE Show nearby items on shelf
Title:Newton's Gravity [electronic resource] : An Introductory Guide to the Mechanics of the Universe
Author(s): Douglas W MacDougal
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Newtons Gravity conveys the power of simple mathematics to tell the fundamental truth about nature. Many people know the tides are caused by the pull of the Moon and to a lesser extent the Sun. But very few can explainexactly how and why that happens . Fewer still can calculate the actual pulls of the Moon and Sun on the oceans. This book shows in clear detail how to do this with simple tools. It uniquely crosses disciplines history, astronomy,physics and mathematics and takes pains to explain thing s frequently passed over or taken for granted in other books. Using a problem-based approach, Newtons Gravity explores the surprisingly basic mathematics behindgravity, the most fundamental force that governs the movements of satellites, planets, and the stars
Note:Springer eBooks
Contents:Preface
Chapter 1: Introduction
The Twin Mysteries of Mass
Chapter 2: Galileo's Great Discovery
How Things Fall
Chapter 3: Christiaan Huygens' Remarkable Pendulum
Chapter 4: The Geometry of the Solar System
Kepler's Laws of Planetary Motion
Chapter 5: How the Moon Falls Toward the Earth (but keeps missing it)
Chapter 6: Newton's Moon Test
Chapter 7: Newton Demonstrate How an Inverse Square Law Could Explain Planetary Motions
Chapter 8: Newton's Master Stroke
The Universal Law of Gravitation
Chapter 9: Determining the Value of g on Earth
Chapter 10: A Binar
ISBN:9781461454441
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
Keywords: Planetology , Astronomy
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Call number:SPRINGER-2012-9781461437406:ONLINE Show nearby items on shelf
Title:Classical Mechanics [electronic resource] : Dynamics
Author(s): Jan Awrejcewicz
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This isthe second volume of three books, by the same author, devoted to classical mechanics. In this book, Classical Mechanics: Dynamics, dynamical and advanced mechanics problems are stated, illustrated, and discussed,including a few novel concepts by comparison to standard text books and monographs. Aside from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and instructors, from the fields of mechanicaland civil engineering, this volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. Chapter 1 coversdynamics of a particle and systems of particles, as well as rigid body mot ion about a point. Mathematical and physical pendulums are discussed in Chapter 2, and Chapter 3 presents static and dynamic problems of discrete mechanicalsystems. Classical equations of mechanics are studied in Chapter 4, and Chapter 5 introduces and il lustrates classical impact theory. Chapter 6 deals with the vibrations of mechanical systems, and Chapter 7 briefly studies the dynamicsof planets. Dynamics of variable mass systems are presented in Chapter 8, and body and multibody dynamics are studied i n Chapter 9. A geometric approach to dynamical problems is the focus of Chapter 10, and Chapter 11 ends the textwith geometric dynamics
Note:Springer eBooks
Contents:Preface
1. Particle Dynamics, Material System Dynamics and Rigid Body Motion About a Point
2. Mathematical and Physical Pendulum
3. Statics and Dynamics in Generalized Coordinates
4. Classical Equations of Dynamics
5. Theory of Impact
6. Vibrations of Mechanical Systems
7. Elements of Dynamics of Planets
8. Dynamics of Systems of Variable Mass
9. Body and Multibody Dynamics
10. Stationary Motions of a Rigid Body and their Stability
11. Geometric Dynamics
ISBN:9781461437406
Series:e-books
Series:SpringerLink (Online service)
Series:Advances in Mechanics and Mathematics, 1571-8689 : v29
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics
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Call number:SPRINGER-2011-9788876423796:ONLINE Show nearby items on shelf
Title:Asymptotics in Dynamics, Geometry and PDEs Generalized Borel Summation vol. I [electronic resource]
Author(s): O Costin
F Fauvet
F Menous
D Sauzin
Date:2011
Publisher:Pisa : Edizioni della Normale
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with - mathematical physics: PT symmetry, perturbative quantum fieldtheory, WKB analysis, - local dynamics: parabolic systems, small denominator questions, - new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, - a new family of resurgentfunctions related to knot theory
Note:Springer eBooks
Contents:C. M. Bender, D. W. Hook, K. S. Kooner: Complex Elliptic Pendulum
F. Bracci: Parabolic attitude
J. Ecalle, S. Sharma: Power series with sum
product Taylor coefficients and their resurgence algebra
J. Raissy: Brjuno conditions for linearization in presence of resonance
J
Y. Thibon: Noncommutative symmetric functions and combinatorial Hopf algebras
C. Bogner, S. Weinzierl: Feynman graphs in perturbative quantum field theory
A. J. Corcho, F. Linares, C. Matheus: Multilinear estimates for the 2D and 3D Zakharov
Rubenchik systems
J. Ecalle: The flexion structure and dimorphy:
ISBN:9788876423796
Series:e-books
Series:SpringerLink (Online service)
Series:Publications of the Scuola Normale Superiore, CRM Series : v12
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics)
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Call number:SPRINGER-2011-9781441976468:ONLINE Show nearby items on shelf
Title:An Introduction to Delay Differential Equations with Applications to the Life Sciences [electronic resource]
Author(s): Hal Smith
Date:2011
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a good background in ordinary differential equations and would like tolearn about the appli cations. It may also be of interest to applied mathematicians, computational scientists, and engineers. It focuses on key tools necessary to understand the applications literature involving delay equations and toconstruct and analyze mathematical models. Aside from standard well-posedness results for the initial value problem, it focuses on stability of equilibria via linearization and Lyapunov functions and on Hopf bifurcation. It contains abrief introduction to abstract dynamical systems focused on thos e generated by delay equations, introducing limit sets and their properties. Differential inequalities play a significant role in applications and are treated here, alongwith an introduction to monotone systems generated by delay equations. The book conta ins some quite recent results such as the Poincare-Bendixson theory for monotone cyclic feedback systems, obtained by Mallet-Paret and Sell. Thelinear chain trick for a special family of infinite delay equations is treated. The book is distinguished by th e wealth of examples that are introduced and treated in detail. These include the delayed logistic equation, delayedchemostat model of microbial growth, inverted pendulum with delayed feedback control, a gene regulatory system, and an HIV transmission mod el. An entire chapter is devoted to the interesting dynamics exhibited by a chemostat model ofbacteriophage parasitism of bacteria. The book has a large number of exercises and illustrations. Hal Smith is a Professor at the School of Mathematical and Stat istical Sciences at Arizona State University.
Note:Springer eBooks
Contents:1 Introduction
The Simplest Delay Equation
Delayed Negative Feedback: A Warm
Up
Existence of Solutions
Linear Systems and Linearization
Semidynamical Systems and Delay Equations
Hopf Bifurcation
Distributed Delay Equations and the Linear Chain Trick
Phage and Bacteria in a Chemostat
References
Index
ISBN:9781441976468
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Applied Mathematics, 0939-2475 : v57
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Biology Mathematics
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Call number:SPRINGER-2010-9783642034343:ONLINE Show nearby items on shelf
Title:Classical Mechanics [electronic resource] : Systems of Particles and Hamiltonian Dynamics
Author(s): Walter Greiner
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This textbook Classical Mechanics provides a complete survey on all aspects of classical mechanics in theoretical physics. An enormous number of worked examples and problems show students how to apply the abstract principles torealistic problems. The textbook covers Newtonian mechanics in rotating coordinate systems, mechanics of systems of point particles, vibrating systems and mechanics of rigid bodies. It thoroughly introduces and explains the Lagrangeand Hamilton equations and the Hamilton-Jacobi theory. A large section on nonlinear dynamics and chaotic behavior of systems takes Classical Mechanics to newest development in physics. The new edition is completely revised and updated.New exercises and new sections in canonical transformation and Ham iltonian theory have been added
Note:Springer eBooks
Contents:Part I. Newtonian mechanics in moving co
ordinate systems
Newton's Equations in a Rotating Coordinate System
Free fall on the rotating earth
Foucault's pendulum
Part II. Mechanics of Particle Systems
Degrees of Freedom
Centre of gravity. Mechanical fundamental quantities of systems of mass points
Part III. Vibrating systems
Vibrations of coupled mass points
The vibrating string
Fourier series
The vibrating membrane
Part IV. Mechanics of Rigid Bodies
Rotation about fixed axis
Rotation about a point. Theory of the top
Part V. Lagrange equations
Gen
ISBN:9783642034343
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematics , Mathematical physics , Mechanics , Mechanics, applied
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Call number:SPRINGER-2010-9780817649746:ONLINE Show nearby items on shelf
Title:The Versatile Soliton [electronic resource]
Author(s): Alexandre T Filippov
Date:2010
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The soliton, a solitary wave impulse preserving its shape and strikingly similar to a particle, is one of the most fascinating and beautiful phenomena in the physics of nonlinear waves. In this classic book, the concept of thesoliton is traced from t he beginning of the last century to modern times, with recent applications in biology, oceanography, solid state physics, electronics, elementary particle physics, and cosmology. The Versatile Soliton is anappropriate title indeed. There is much new histo rical information in the bookThe book is written in a lively language and the physics presented in a clear, pedagogical style. Most of the chapters require only knowledge of fairlyelementary mathematics and the main ideas of soliton physics are well expla ined without mathematics at allYet it contains valuable information and offers a historical review of soliton physics that cannot be found elsewhere.Centaurus In summary, this book is a good elementary treatment of solitons and the related history of phys ics and mathematics, even for readers with little knowledge of advanced mathematics. For readers with the latter knowledge, itis still a good introduction to the physical ideas required for the understanding of solitons prior to the study of more mathemat ical treatments from other sources. Mathematical Reviews This engaging book is an excellentintroduction into the wonderful world of soliton mechanics. Zentralblatt Math No doubt, everyone can get new information from the book. First, the book is strongly recommended to young researchers. In a certain sense, the bookis unique and definitely will find a niche among numerous textbooks on solitons. Physicala
Note:Springer eBooks
Contents:An Early History of the Soliton
A Century and a Half Ago
The Great Solitary Wave of John Scott Russell
Relatives of the Soliton
Nonlinear Oscillations and Waves
A Portrait of the Pendulum
From Pendulum to Waves and Solitons
The Present and Future of the Soliton
Frenkels Solitons
Rebirth of the Soliton
Modern Solitons
ISBN:9780817649746
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Quantum theory
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Call number:SPRINGER-2009-9783540795728:ONLINE Show nearby items on shelf
Title:Ultraviolet and Soft X-Ray Free-Electron Lasers [electronic resource] : Introduction to Physical Principles, Experimental Results, Technological Challenges
Author(s): Peter Schmser
Martin Dohlus
Jrg Rossbach
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:In the introduction accelerator-based light sources are considered and a comparison is made between free-electron lasers and conventional quantum lasers. The motion and radiation of relativistic electrons in undulator magnets isdiscussed. The princip le of a low-gain free-electron laser is explained and the pendulum equations are introduced that characterize the electron dynamics in the field of a light wave. The differential equations of the high-gain FEL arederived from the Maxwell equations of elec trodynamics. Analytical and numerical solutions of the FEL equations are presented and important FEL parameters are defined, such as gain length, FEL bandwidth and saturation power. A detailednumerical study of the all-important microbunching process is p resented. The mechanism of Self Amplified Spontaneous Emission is described theoretically and illustrated with numerous experimental results. Three-dimensional effects suchas betatron oscillations and optical diffraction are addressed and their impact on the FEL performance is analyzed. The worlds first soft X-ray FEL, the user facility FLASH at DESY, is described in some detail in order to give animpression of the complexity of such an accelerator-based light source. Finally, the physical and technologic al challenges of X-ray FELs are addressed while some of the more involved calculations are put into the appendices, where alsosupplementary material can be found
Note:Springer eBooks
Contents:Introduction
Undulator radiation
Low
gain FEL theory
One
dimensional theory of the high
gain FEL
Applications of the high
gain FEL equations
Refinements of the one
dimensional FEL theory
Self amplified spontaneous emission
The Ultraviolet and soft X
ray FEL in Hamburg
Physical and technological challenges of an X
ray FEL
Appendices A to H deal with: Hamiltonian formalism, low
gain limit of high
gain FEL theory, non
periodic first
order equations, Gaussian modes of laser beams, eigenmode approach, periodic current modulation resulting from shot noise, the gamma distribu
ISBN:9783540795728
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Tracts in Modern Physics, 0081-3869 : v229
Series:Physics and Astronomy (Springer-11651)
Keywords: Condensed matter , Electromagnetism , Electrodynamics , Laser physics , Microwaves
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Call number:SPRINGER-2008-9783540748670:ONLINE Show nearby items on shelf
Title:Chaos [electronic resource] : A Program Collection for the PC
Author(s): Hans Jrgen Korsch
Hans-Jrg Jodl
Timo Hartmann
Date:2008
Edition:Third revised and enlarged edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This new edition strives yet again to provide readers with a working knowledge of chaos theory and dynamical systems through parallel introductory explanations in the book and interaction with carefully-selected programs suppliedon the accompanying d iskette. The programs enable readers, especially advanced-undergraduate students in physics, engineering, and math, to tackle relevant physical systems quickly on their PCs, without distraction from algorithmicdetails. For the third edition of Chaos: A Pr ogram Collection for the PC, each of the previous twelve programs is polished and rewritten in C++ (both Windows and Linux versions are included). A new program treats kicked systems, animportant class of two-dimensional problems, which is introduced in C hapter 13. Each chapter follows the structure: theoretical background numerical techniques interaction with the program computer experiments real experiments andempirical evidence reference. Interacting with the many numerical experiments have proven to h elp readers to become familiar with this fascinating topic and even to enjoy the experience
Note:Springer eBooks
Contents:Overview and Basic Concepts
Nonlinear Dynamics and Deterministic Chaos
Billiard Systems
Gravitational Billiards: The Wedge
The Double Pendulum
Chaotic Scattering
Fermi Acceleration
The Duffing Oscillator
Feigenbaum Scenario
Nonlinear Electronic Circuits
Mandelbrot and Julia Sets
Ordinary Differential Equations
Kicked Systems
A. System Requirements and Program Installation
B. General Remarks on Using the Programs
Glossary
ISBN:9783540748670
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Computer science Mathematics , Quantum theory , Mathematical physics , Quantum computing , Engineering
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Call number:SPRINGER-2007-9783540462774:ONLINE Show nearby items on shelf
Title:Cybernetical Physics [electronic resource] : From Control of Chaos to Quantum Control
Author(s): Alexander L Fradkov
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The control of complex systems is one of the most important aspects in dealing with systems exhibiting nonlinear behaviour or similar features that defy traditional control techniques. This specific subject is gradually becomingknown as cybernetical physics, borrowing methods from both theoretical physics and control engineering. This book is, perhaps, the first attempt to present a unified exposition of the subject and methodology of cybernetical physics aswell as solutions to some of its problems. Emphasis of the book is on the examination of fundamental limits on energy transformation by means of control procedures in both conservative and dissipative systems. A survey of applicationin physics includes the control of chaos, synchronisation of coup led oscillators, pendulum chains, reactions in physical chemistry and of quantum systems such as the dissociation of diatomic molecules. This book has been written havingresearchers from various backgrounds in physics, mathematics and engineering in mind and is thus also suitable as introduction to graduate students working on the understanding of a broad range of complex systems in the naturalsciences
Note:Springer eBooks
Contents:Introduction. Physics and Cybernetics
Subject and Methodology of Cybernetical Physics
Control of Conservative Systems
Control of Dissipative Systems
Controlled Synchronization
Control of Chaos
Control of Interconnected and Distributed Systems
Control Algorithms and Evolution of Physical Systems
Examples
Conclusions
ISBN:9783540462774
Series:e-books
Series:SpringerLink (Online service)
Series:Understanding Complex Systems, 1860-0832
Series:Physics and Astronomy (Springer-11651)
Keywords: Systems theory , Engineering , Vibration
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Call number:SPRINGER-2007-9780387495149:ONLINE Show nearby items on shelf
Title:Essentials of Mathematica [electronic resource] : With Applications to Mathematics and Physics
Author(s): Nino Boccara
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Essentials of Mathematica: With Applications to Mathematics and Physics, based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergraduate and graduate students, teaches how to useMathematica to solve a wide variety problems in mathematics and physics. The text assumes no previous exposure to Mathematica. It is illustrated with many detailed examples that require the student to construct meticulous,step-by-step, easy-to-read Mathematica programs. It incl udes many detailed graphics, with instructions to students on how to achieve similar results. The aim of Essentials of Mathematica is to provide the reader with Mathematicaproficiency quickly and efficiently. The first part, in which the reader learns how to use a variety of Mathematica commands, avoids long discussions and overly sophisticated techniques. The second part covers a broad range ofapplications in physics and applied mathematics, including negative and complex bases, the double pendulum, frac tals, the logistic map, the quantum harmonic oscillator, the quantum square potential, the Van der Pol oscillator, theDuffing oscillator, multilane bidirectional pedestrian traffic, public-key encryption, tautochrone curves, Iterated function systems, mot ion of a bead on a rotating circle, Mersenne and perfect numbers, Lindenmayer systems, skydiving,Lorenz equations, the Foucault's pendulum, and Julia and Mandelbrot sets
Note:Springer eBooks
Contents:Essential Commands
A Panorama of Mathematica
Numbers
Algebra
Analysis
Lists
Graphics
Statistics
Basic Programming
Applications
Axially Symmetric Electrostatic Potential
Motion of a Bead on a Rotating Circle
The Brachistochrone
Negative and Complex Bases
Convolution and Laplace Transform
Double Pendulum
Duffing Oscillator
Egyptian Fractions
Electrostatics
Foucault Pendulum
Fractals
Iterated Function Systems
Julia and Mandelbrot Sets
Keplers Laws
Lindenmayer Systems
Logistic Map
Lorenz Equations
The Morse Potenti
ISBN:9780387495149
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Computer science , Computer software , Mathematical physics
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Call number:SPRINGER-2005-9781402025778:ONLINE Show nearby items on shelf
Title:Introduction to Soliton Theory: Applications to Mechanics [electronic resource]
Author(s): Ligia Munteanu
Stefania Donescu
Date:2005
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph provides the application of soliton theory to solve certain problems selected from the fields of mechanics. The work is based of the authors research, and on some specified, significant results existing in theliterature. The present mo nograph is not a simple translation of its predecessor appeared in Publishing House of the Romanian Academy in 2002. Improvements outline the way in which the soliton theory is applied to solve someengineering problems. The book addresses concrete resolut ion methods of certain problems such as the motion of thin elastic rod, vibrations of initial deformed thin elastic rod, the coupled pendulum oscillations, dynamics of leftventricle, transient flow of blood in arteries, the subharmonic waves generation in a piezoelectric plate with Cantor-like structure, and some problems related to Tzitzeica surfaces. This comprehensive study enables the readers to makeconnections between the soliton physical phenomenon and some partical, engineering problems
Note:Springer eBooks
ISBN:9781402025778
Series:e-books
Series:SpringerLink (Online service)
Series:Fundamental Theories of Physics : v143
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics
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Call number:SPRINGER-2004-9789400709911:ONLINE Show nearby items on shelf
Title:Instabilities and Nonequilibrium Structures IX
Author(s):
Date:2004
Size:1 online resource (415 p.)
Note:10.1007/978-94-007-0991-1
Contents:I. Courses -- Reorientation and Undulation Instabilities in Liquid Crystals and Liquid Crystalline Elastomers. -- Biased Tracer Diffusion in Hard-Core Lattice Gases: Some Notes on the Validity of the Einstein Relation. -- Numerical
Methods for Bifurcation Problems. -- II. Articles -- Falkner-Skan approximation for gradually variable flows. -- Critical dynamics in reversible forced pendulum chains. -- Time Asymmetry as Universe Asymmetry. -- Front Dynamics in a
Liquid Crystal Light Valve with Feedback. -- Bifurcation due rotation in radiation driven wind from hot stars. -- An analytical approach to nucleation solutions and pulses in the one-dimensional real and complex Ginzburg-Landau
equations. -- Optimization of Brownian transport in a system of globally coupled phase oscillators by means of colored noise. -- Resonant behavior of the wake of a flat plate: Hot wire and sound scattering measurements. -- Global
Magnitude Fluctuation Phenomena. -- Propagation of acoustic waves in clastic materials with randomly distributed dislocations. -- Convection in Polymeric Solutions. -- Noise-induced Resonance in Semiconductor Lasers with Optical
Feedback. -- On the Effect of Time Correlated Noise and Periodic Forcing on a Neuronal System. -- Non-Riemannian Geometry of a Continuous-Spin Infinite Particle Systems and their Non-Interaction Representation. -- Eigenvalue solution
for the self similar Birkhoff-Rott equation. -- A measure of self-organization in neural activity. -- Thermodynamic Field Theory (An Approach to Thermodynamics of Irreversible Processes). -- van der Waals-like transition in fluidized
granular matter: hydrodynamic description. -- Binary fluid convection as a 2 × 2 matrix problem. -- Singularity formation in vortex sheets and interfaces. -- On the Dynamics of Nanostructures Formation during Thin Film Growth. --
Author Index
ISBN:9789400709911
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonlinear Phenomena and Complex Systems: 9
Keywords: Physics , Condensed matter , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Condensed Matter Physics
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Call number:SPRINGER-2004-9783034878463:ONLINE Show nearby items on shelf
Title:Applied Laplace Transforms and z-Transforms for Scientists and Engineers A Computational Approach using a Mathematica Package
Author(s): Urs Graf
Date:2004
Size:1 online resource (500 p.)
Note:10.1007/978-3-0348-7846-3
Contents:1 Laplace Transformation -- 1.1 The One-Sided Laplace Transform -- 1.2 The Two-Sided Laplace Transform -- 1.3 Ordinary Linear Differential Equations -- 2 z-Transformation -- 2.1 z-Transforms and Inverse z-Transforms -- 2.2 Difference
Equations -- 3 Laplace Transforms with the Package -- 3.1 Basics -- 3.2 The Use of Transformation Rules -- 3.3 The Finite Laplace Transform -- 3.4 Special Functions -- 3.5 Inverse Laplace Transformation -- 3.6 Differential Equations --
4 z-Transformation with the Package -- 4.1 Basics -- 4.2 Use of Transformation Rules -- 4.3 Difference Equations -- 5 Applications To Automatic Control -- 5.1 Controller Configurations -- 5.2 State-Variable Analysis -- 5.3 Second Order
Differential Systems -- 5.4 Stability -- 5.5 Frequency Analysis -- 5.6 Sampled-Data Control Systems -- 6 Laplace Transformation: Further Topics -- 6.1 The Complex Inversion Formula -- 6.2 Laplace Transforms and Asymptotics -- 6.3
Differential Equations -- 7 z-Transformation: Further Topics -- 7.1 The Advanced z-Transformation -- 7.2 Applications -- 7.3 Use of the Package -- 8 Examples from Electricity -- 8.1 Transmission Lines -- 8.2 Electrical Networks -- 9
Examples from Control Engineering -- 9.1 Control of an Inverted Pendulum -- 9.2 Controling a Seesaw-Pendulum -- 9.3 Control of a DC Motor -- 9.4 A Magnetic-Ball-Suspension-System -- 9.5 A Sampled-Data State-Variable Control System --
10 Heat Conduction and Vibration Problems -- 10.1 Flow of Heat -- 10.2 Waves and Vibrations in Elastic Solids -- 11 Further Techniques -- 11.1 Duhamel’s Formulas -- 11.2 Green’s Functions -- 11.3 Fundamental Solutions -- 11.4 Finite
Fourier Transforms -- 12 Numerical Inversion of Laplace Transforms -- 12.1 Inversion by the Use of Laguerre Functions -- 12.2 Inversion by Use of Fourier Analysis -- 12.3 The Use of Gaussian Quadrature Formulas -- 12.4 The Method of
Gaver and Stehfest -- 12.5 Example -- Appendix: Package Commands
ISBN:9783034878463
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Functional analysis , Integral transforms , Operational calculus , Computer mathematics , Mathematics , Functional Analysis , Symbolic and Algebraic Manipulation , Integral Transforms, Operational Calculus , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2004-9781475743500:ONLINE Show nearby items on shelf
Title:The Transition to Chaos Conservative Classical Systems and Quantum Manifestations
Author(s): Linda E Reichl
Date:2004
Edition:Second Edition
Size:1 online resource (675 p.)
Note:10.1007/978-1-4757-4350-0
Contents:1 Overview -- 2 Fundamental Concepts -- 3 Area-Preserving Maps -- 4 Global Properties -- 5 Random Matrix Theory -- 6 Bounded Quantum Systems -- 7 Manifestations of Chaos in Quantum Scattering Processes -- 8 Semiclassical Theory—Path
Integrals -- 9 Time-Periodic Systems -- 10 Stochastic Manifestations of Chaos -- A Classical Mechanics -- A.1 Newton’s Equations -- A.2 Lagrange’s Equations -- A.3 Hamilton’s Equations -- A.4 The Poisson Bracket -- A.5 Phase Space
Volume Conservation -- A.6 Action-Angle Coordinates -- A.7 Hamilton’s Principal Function -- A.8 References -- B Simple Models -- B.1 The Pendulum -- B.2 Double-Well Potential -- B.3 Infinite Square-Well Potential -- B.4 One-Dimensional
Hydrogen -- B.4.1 Zero Stark Field -- B.4.2 Nonzero Stark Field -- C Renormalization Integral -- C.3 References -- D Moyal Bracket -- D.1 The Wigner Function -- D.2 Ordering of Operators -- D.3 Moyal Bracket -- D.4 References -- E
Symmetries and the Hamiltonian Matrix -- E.1 Space-Time Symmetries -- E.1.1 Continuous Symmetries -- E.1.2 Discrete Symmetries -- E.2 Structure of the Hamiltonian Matrix -- E.2.1 Space-Time Homogeneity and Isotropy -- E.2.2 Time
Reversal Invariance -- E.3 References -- F Invariant Measures -- F.1 General Definition of Invariant Measure -- F.1.1 Invariant Metric (Length) -- F.1.2 Invariant Measure (Volume) -- F.2 Hermitian Matrices -- F.2.1 Real Symmetric
Matrix -- F.2.2 Complex Hermitian Matrices -- F.2.3 Quaternion Real Matrices -- F.2.4 General Formula for Invariant Measure of Hermitian Matrices -- F.3 Unitary Matrices -- F.3.1 Symmetric Unitary Matrices -- F.3.2 General Unitary
Matrices -- F.3.3 Symplectic Unitary Matrices -- F.3.4 General Formula for Invariant Measure of Unitary Matrices -- F.3.5 Orthogonal Matrices -- F.4 References -- G Quaternions -- G.1 References -- H Gaussian Ensembles -- H.1
Vandermonde Determinant -- H.2 Gaussian Unitary Ensemble (GUE) -- H.3 Gaussian Orthogonal Ensemble (GOE) -- H.4 Gaussian Symplectic Ensemble (GSE) -- H.5 References -- I Circular Ensembles -- 1.1 Vandermonde Determinant -- 1.2 Circular
Unitary Ensemble (CUE) -- 1.3 Circular Orthogonal Ensemble (COE) -- 1.4 Circular Symplectic Ensemble (COE) -- 1.5 References -- J Volume of Invariant Measure for Unitary Matrices -- J.1 References -- K Lorentzian Ensembles -- K.1
Normalization of AOE -- K.2 Relation Between COE and AOE -- K.4 Invariance of AOE under Inversion -- K.4.1 Robustness of AOE under Integration -- K.5 References -- L Grassmann Variables and Supermatrices -- L.1 Grassmann Variables --
L.2 Supermatrices -- L.2.1 Transpose of a Supermatrix -- L.2.2 Hermitian Adjoint of a Supermatrix -- L.2.3 Supertrace of a Supermatrix -- L.2.4 Determinant of a Supermatrix -- L.3 References -- M Average Response Function (GOE) -- M.3
Gaussian Integral for Response Function Generating Function -- M.4 Expectation Value of the Generating Function (Part 1) -- M.5 The Hubbard-Stratonovitch Transformation -- M.6 Expectation Value of the Generating Function (Part 2) --
M.7 Average Response Function Density -- M.7.1 Saddle Points for the Integration over a -- M.7.2 Saddle Points for the Integration over ? -- M.7.4 Wigner Semicircle Law -- M.8 References -- N Average S-Matrix (GOE) -- N.1 S-Matrix
Generating Function -- N.2 Average S-Matrix Generating Function -- N.3 Saddle Point Approximation -- N.4 Integration over Grassmann Variables -- N.5 References -- O Maxwell’s Equations for 2-d Billiards -- O.1 References -- P Lloyd’s
Model -- P.1 Localization Length -- P.2 References -- Q Hydrogen in a Constant Electric Field -- Q.1 The Schrödinger Equation -- Q.1.1 Equation for Relative Motion -- Q.2 One-Dimensional Hydrogen -- Q.3 References -- Author Index
ISBN:9781475743500
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity
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Call number:SPRINGER-2004-9781475743456:ONLINE Show nearby items on shelf
Title:The Physics of Skiing Skiing at the Triple Point
Author(s): David A Lind
Date:2004
Edition:Second Edition
Size:1 online resource (270 p.)
Note:10.1007/978-1-4757-4345-6
Contents:1 Introduction: At the Triple Point -- 2 Snow: The Playing Field -- 3 Equipment: Properties and Performance -- 4 Alpine Skiing Techniques: Gliding, Wedging, and Carving -- 5 Interactive Dynamics of Alpine Maneuvers -- 6
High-Performance Skiing -- 7 Nordic Skiing: Running the Tracks -- 8 Adventure Skiing -- 9 Friction: Glide and Grab -- 10 Epilogue: Physics, Skiing, and the Future -- Technote 1 Thermodynamics of Phase Changes -- Technote 2 Ski Loading
and Flexure on a Groomed Snow Surface -- Technote 3 The Loads on a Running Ski -- Technote 4 Geometry of the Edged and Flexed Ski -- Technote 5 The Dynamics of Carving a Turn -- Technote 6 Up-and-Down Unweighting -- Technote 7 Analysis
of Prejumping -- Technote 8 Aerodynamic Drag -- Technote 9 The Brachistochrone Problem -- Technote 10 Pumping to Increase Velocity -- Technote 11 The Skier as an Inverted Pendulum -- Technote 12 Ski Flexure in Uncompacted Snow --
Technote 13 Meltwater Lubrication -- Glossary of Commonly Used Notations and Symbols -- Units and Conversions -- Physics -- Snow -- Ski Mechanics -- Friction and Waxing -- Backcountry Skiing -- Biomechanics and Mountain Medicine --
Handbooks, Guides, and Symposia -- Bibliography of Authored and Edited Sources
ISBN:9781475743456
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Human physiology , Physics , Physics, general , Human Physiology
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Call number:SPRINGER-2004-9780817681241:ONLINE Show nearby items on shelf
Title:A Topological Introduction to Nonlinear Analysis
Author(s): Robert F Brown
Date:2004
Edition:Second Edition
Size:1 online resource (184 p.)
Note:10.1007/978-0-8176-8124-1
Contents:I Fixed Point Existence Theory -- 1 The Topological Point of View -- 2 Ascoli-Arzela Theory -- 3 Brouwer Fixed Point Theory -- 4 Schauder Fixed Point Theory -- 5 The Forced Pendulum -- 6 Equilibrium Heat Distribution -- 7 Generalized
Bernstein Theory -- II Degree Theory -- 8 Brouwer Degree -- 9 Properties of the Brouwer Degree -- 10 Leray-Schauder Degree -- 11 Properties of the Leray-Schauder Degree -- 12 The Mawhin Operator -- 13 The Pendulum Swings Back -- III
Bifurcation Theory -- 14 A Separation Theorem -- 15 Compact Linear Operators -- 16 The Degree Calculation -- 17 The Krasnoselskii-Rabinowitz Bifurcation Theorem -- 18 Nonlinear Sturm-Liouville Theory -- 19 More Sturm-Liouville Theory
-- 20 Euler Buckling -- IV Appendices -- A Singular Homology -- B Additivity and Product Properties -- C Bounded Linear Transformations -- C Bounded Linear Transformations -- References
ISBN:9780817681241
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Differential equations , Partial differential equations , Topology , Mathematics , Functional Analysis , Ordinary Differential Equations , Partial Differential Equations , Topology
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Call number:SPRINGER-2004-9780387218519:ONLINE Show nearby items on shelf
Title:Classical Mechanics Point Particles and Relativity
Author(s): Walter Greiner
Date:2004
Size:1 online resource (488 p.)
Note:10.1007/b97649
Contents:Vector Calculus -- and Basic Definitions -- The Scalar Product -- Component Representation of a Vector -- The Vector Product (Axial Vector) -- The Triple Scalar Product -- Application of Vector Calculus -- Differentiation and
Integration of Vectors -- The Moving Trihedral (Accompanying Dreibein)–the Frenet Formulas -- Surfaces in Space -- Coordinate Frames -- Vector Differential Operations -- Determination of Line Integrals -- The Integral Laws of Gauss and
Stokes -- Calculation of Surface Integrals -- Volume (Space) Integrals -- Newtonian Mechanics -- Newton’s Axioms -- Basic Concepts of Mechanics -- The General Linear Motion -- The Free Fall -- Friction -- The Harmonic Oscillator --
Mathematical Interlude–Series Expansion, Euler’s Formulas -- The Damped Harmonic Oscillator -- The Pendulum -- Mathematical Interlude: Differential Equations -- Planetary Motions -- Special Problems in Central Fields -- The Earth and
our Solar System -- Theory of Relativity -- Relativity Principle and Michelson-Morley Experiment -- The Lorentz Transformation -- Properties of the Lorentz transformation -- Addition Theorem of the Velocities -- The Basic Quantities of
Mechanics in Minkowski Space -- Applications of the Special Theory of Relativity
ISBN:9780387218519
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Applied mathematics , Engineering mathematics , Quantum physics , Mechanics , Engineering , Physics , Mechanics , Quantum Physics , Applications of Mathematics , Engineering, general
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Call number:SPRINGER-2001-9789401724524:ONLINE Show nearby items on shelf
Title:Normal Modes and Localization in Nonlinear Systems
Author(s):
Date:2001
Size:1 online resource (294 p.)
Note:10.1007/978-94-017-2452-4
Contents:Invariant Manifolds, Nonclassical Normal Modes, and Proper Orthogonal Modes in the Dynamics of the Flexible Spherical Pendulum -- Normal Vibrations in Near-Conservative Self-Excited and Viscoelastic Nonlinear Systems -- Nonlinear
Normal Modes in a System with Nonholonomic Constraints -- Nonlinear Normal Modes of a Parametrically Excited Cantilever Beam -- Normal Modes and Boundary Layers for a Slender Tensioned Beam on a Nonlinear Foundation -- The Description
of Localized Normal Modes in a Chain of Nonlinear Coupled Oscillators Using Complex Variables -- Spatially Localized Models of Extended Systems -- Mode Localization in Dynamics and Buckling of Linear Imperfect Continuous Structures --
Dynamics of Relative Phases: Generalised Multibreathers -- Nonlinear Modal Analysis of Structural Systems Using Multi-Mode Invariant Manifolds -- Localization in Nonlinear Mistuned Systems with Cyclic Symmetry -- Mode Localization
Induced by a Nonlinear Control Loop -- Transition of Energy to a Nonlinear Localized Mode in a Highly Asymmetric System of Two Oscillators -- Application of Nonlinear Normal Mode Analysis to the Nonlinear and Coupled Dynamics of a
Floating Offshore Platform with Damping -- Performance of Nonlinear Vibration Absorbers for Multi-Degrees-of-Freedom Systems Using Nonlinear Normal Modes
ISBN:9789401724524
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Differential equations , Partial differential equations , Mechanics , Vibration , Dynamical systems , Dynamics , Physics , Mechanics , Vibration, Dynamical Systems, Control , Ordinary Differential Equations , Partial Differential Equations
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Call number:SPRINGER-2001-9781461202110:ONLINE Show nearby items on shelf
Title:Nonlinear Physics with Mathematica for Scientists and Engineers
Author(s): Richard H Enns
Date:2001
Size:1 online resource (695 p.)
Note:10.1007/978-1-4612-0211-0
Contents:I Theory -- 1 Introduction -- 2 Nonlinear Systems. Part I -- 3 Nonlinear Systems. Part II -- 4 Topological Analysis -- 5 Analytic Methods -- 6 The Numerical Approach -- 7 Limit Cycles -- 8 Forced Oscillators -- 9 Nonlinear Maps -- 10
Nonlinear PDE Phenomena -- 11 Numerical Simulation -- 12 Inverse Scattering Method -- II Experimental Activities -- to Nonlinear Experiments -- 1 Magnetic Force -- 2 Magnetic Tower -- 3 Spin Toy Pendulum -- 4 Driven Eardrum -- 5
Nonlinear Damping -- 6 Anharmonic Potential -- 7 Iron Core Inductor -- 8 Nonlinear LRC Circuit -- 9 Tunnel Diode Negative Resistance Curve -- 10 Tunnel Diode Self-Excited Oscillator -- 11 Forced Duffing Equation -- 12 Focal Point
Instability -- 13 Compound Pendulum -- 14 Damped Simple Pendulum -- 15 Stable Limit Cycle -- 16 Van der Pol Limit Cycle -- 17 Relaxation Oscillations: Neon Bulb -- 18 Relaxation Oscillations: Drinking Bird -- 19 Relaxation
Oscillations: Tunnel Diode -- 20 Hard Spring -- 21 Nonlinear Resonance Curve: Mechanical -- 22 Nonlinear Resonance Curve: Electrical -- 23 Nonlinear Resonance Curve: Magnetic -- 24 Subharmonic Response: Period Doubling -- 25 Diode:
Period Doubling -- 26 Five-Well Magnetic Potential -- 27 Power Spectrum -- 28 Entrainment and Quasiperiodicity -- 29 Quasiperiodicity -- 30 Chua’s Butterfly -- 31 Route to Chaos -- 32 Driven Spin Toy -- 33 Mapping
ISBN:9781461202110
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer-aided engineering , Dynamics , Ergodic theory , Computer software , Physics , Mathematics , Dynamical Systems and Ergodic Theory , Physics, general , Mathematical Software , Theoretical, Mathematical and Computational Physics , Numerical and Computational Physics , Computer-Aided Engineering (CAD, CAE) and Design
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Call number:SPRINGER-2000-9789401142472:ONLINE Show nearby items on shelf
Title:Instabilities and Nonequilibrium Structures VI
Author(s):
Date:2000
Size:1 online resource (409 p.)
Note:10.1007/978-94-011-4247-2
Contents:I. Review Lectures -- A primer in classical turbulence theory -- Stochastic effects in physical systems -- II. Pattern Selection, Defects and Granular Matter -- Spatio-temporal intermittency in the spatial unfolding of Andronov’s
Bifurcations -- Thermodynamics and dynamics of supersolids -- Large Amplitude Patterns in Bistable Reaction-Diffusion Systems -- Bénard Cell: A Centennial Puzzle -- A parametric oscillator in a highly viscous fluid -- Spiral waves and
target waves in single cells -- Pattern Selection and Stability in Polymeric Fluid Convection -- Wavelength Selection of Spiral Waves in Liquid Crystals -- Surface Waves Scattering by a Vertical Vortex: A progress report -- Spreading
of molecularly thin wetting films on solid interfaces -- Developable Cones and Crumpled Pap er: An experimental point of view -- Quantum Topological Defects and the Schwinger mechanism -- Imperfect Coagulation reaction A + A ? A: An
analitical approach -- Mixing and Segregation in Granular Matter -- Pressure and Surface Dilation measurements in vibrated granular layers -- III. Stochastic Behavior and Statistical Mechanics -- Quantum Coherence and Decoherence by
Spontaneous Emission in a Quantum Optical Realization of a Driven Pendulum -- Covariant Non-Linear Non-Equilibrium Thermodynamics and the Ergodic Theory of Stochastic and Quantum Flows -- Stochastic Inflation: A Semiclassical Approach
-- Stochastic Inflation: A Semiclassical Approach -- Multifractal Behavior of a Fibonacci Crystal built over p coupled chains -- Stationary probability for systems presenting weak noise transitions
ISBN:9789401142472
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonlinear Phenomena and Complex Systems: 5
Keywords: Physics , Partial differential equations , Condensed matter , Statistical physics , Dynamical systems , Statistics , Physics , Statistical Physics, Dynamical Systems and Complexity , Physics, general , Condensed Matter Physics , Statistics, general , Partial Differential Equations
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Call number:SPRINGER-2000-9783642572340:ONLINE Show nearby items on shelf
Title:Elements of Newtonian Mechanics Including Nonlinear Dynamics
Author(s): Jens M Knudsen
Date:2000
Edition:Third Revised and Enlarged Edition
Size:1 online resource (452 p.)
Note:10.1007/978-3-642-57234-0
Contents:1. The Foundation of Classical Mechanics -- 1.1 Principia -- 1.2 Prerequisites for Newton -- 1.3 The Masterpiece -- 1.4 Concluding Remarks -- 1.5 Problems -- 2. Newton’s Five Laws -- 2.1 Newton’s Laws of Motion -- 2.2 Integration of
the Equation of Motion -- 2.3 Problems -- 3. Gravitational and Inertial Mass -- 3.1 Gravitational Mass -- 3.2 Inertial Mass -- 3.3 Proportionality Between Inertial and Gravitational Mass -- 3.4 Newtonl’s Experiment -- 3.5 Problem -- 4.
The Galilei Transformation -- 4.1 The Galilei Transformation -- 4.2 Galileo Speaks -- 4.3 Problems -- 5. The Motion of the Earth -- 5.1 Examples -- 5.2 Problems -- 6. Motion in Accelerated Reference Frames -- 6.1 Newton’s 2nd Law
Within Accelerated Reference Frames -- 6.2 The Equivalence Principle of Mechanics -- 6.3 The Einstein Box -- 6.4 The Centrifugal Force -- 6.5 Tidal Fields -- 6.6 The Coriolis Force -- 6.7 Tidal Forces and Local Inertial Frames -- 6.8
The Foucault Pendulum -- 6.9 Newton’s Bucket -- 6.10 Review: Fictitious Forces -- 6.11 Problems -- 7. The Problem of Motion -- 7.1 Kinematic and Dynamic Views of the Problem of Motion -- 7.2 Einstein Speaks -- 7.3 Symmetry -- 7.4 The
Symmetry (Invariance) of Newton’s 2nd Law -- 7.5 Limited Absolute Space -- 7.6 The Asymmetry (Variance) of Newton’s 2nd Law -- 7.7 Critique of the Newtonian View -- 7.8 Concluding Remarks -- 8. Energy -- 8.1 Work and Kinetic Energy --
8.2 Conservative Force Fields -- 8.3 Central Force Fields -- 8.4 Potential Energy and Conservation of Energy -- 8.5 Calculation of Potential Energy -- 8.6 The Gravitational Field Around a Homogeneous Sphere -- 8.7 Examples -- 8.8
Review: Conservative Forces and Potential Energy -- 8.9 Problems -- 9. The Center-of-Mass Theorem -- 9.1 The Center of Mass -- 9.2 The Center-of-Mass Frame -- 9.3 Examples -- 9.4 Review: Center of Mass and Center-of-Mass Theorems --
9.5 Comments on the Conservation Theorems -- 9.6 Problems -- 10. The Angular Momentum Theorem -- 10.1 The Angular Momentum Theorem for a Particle -- 10.2 Conservation of Angular Momentum -- 10.3 Torque and Angular Momentum Around an
Axis -- 10.4 The Angular Momentum Theorem for a System of Particles -- 10.5 Center of Gravity -- 10.6 Angular Momentum Around the Center of Mass -- 10.7 Review: Equations of Motion for a System of Particles -- 10.8 Examples of
Conservation of Angular Momentum -- 11. Rotation of a Rigid Body -- 11.1 Equations of Motion -- 11.2 The Rotation Vector -- 11.3 Kinetic Energy of a Rotating Disk -- 11.4 Angular Momentum of an Arbitrary Rigid Body in Rotation Around a
Fixed Axis -- 11.5 Calculation of the Moment of Inertia for Simple Bodies -- 11.6 Equation of Motion for a Rigid Body Rotating Around a Fixed Axis -- 11.7 Work and Power in the Rotation of a Rigid Body Around a Fixed Axis -- 11.8 The
Angular Momentum Theorem Referred to Various Points -- 11.9 Examples -- 11.10 Review: Linear Motion and Rotation About a Fixed Axis. 266 11.11 Problems -- 12. The Laws of Motion -- 12.1 Review: Classical Mechanics -- 12.2 Remarks on
the Three Conservation Theorems -- 12.3 Examples -- 12.4 Problems -- 13. The General Motion of a Rigid Body -- 13.1 Inertia in Rotational Motion -- 13.2 The Inertia Tensor -- 13.3 Euler’s Equations -- 13.4 Kinetic Energy -- 13.5
Determination of the Principal Coordinate System -- 13.6 Problems -- 14. The Motion of the Planets -- 14.1 Tycho Brahe -- 14.2 Kepler and the Orbit of Mars -- 14.3 Conic Sections -- 14.4 Newton’s Law of Gravity Derived from Kepler’s
Laws -- 14.5 The Kepler Problem -- 14.6 The Effective Potential -- 14.7 The Two-Body Problem -- 14.8 Double Stars: The Motion of the Heliocentric Reference Frame -- 14.9 Review: Kepler Motion -- 14.10 Examples -- 14.11 Problems -- 15.
Harmonic Oscillators -- 15.1 Small Oscillations -- 15.2 Energy in Harmonic Oscillators -- 15.3 Free Damped Oscillations -- 15.4 Energy in Free, Weakly Damped Oscillations -- 15.5 Forced Oscillations -- 15.6 The Forced Damped Harmonic
Oscillator -- 15.7 Frequency Characteristics -- 15.8 Power Absorption -- 15.9 The Q-Value of a Weakly Damped Harmonic Oscillator -- 15.10 The Lorentz Curve -- 15.11 Complex Numbers -- 15.12 Problems -- 16. Remarks on Nonlinearity and
Chaos -- 16.1 Determinism vs Predictability -- 16.2 Linear and Nonliner Differential Equations -- 16.3 Phase Space -- 16.4 A Forced, Damped Nonlinear Oscillator -- 16.5 Liapunov Exponents -- 16.6 Chaos in the Solar System -- 16.7
Problems -- Appendix. Vectors and Vector Calculus -- Selected References -- Answers to Problems
ISBN:9783642572340
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Mechanics , Astronomy , Astrophysics , Cosmology , Physics , Mechanics , Astronomy, Astrophysics and Cosmology
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Call number:SPRINGER-2000-9781461213222:ONLINE Show nearby items on shelf
Title:Nonlinear Physics with Maple for Scientists and Engineers
Author(s): Richard H Enns
Date:2000
Edition:Second Edition
Size:1 online resource (661 p.)
Note:10.1007/978-1-4612-1322-2
Contents:I Theory -- 1 Introduction -- 2 Nonlinear Systems. Part I -- 3 Nonlinear Systems. Part II -- 4 Topological Analysis -- 5 Analytic Methods -- 6 The Numerical Approach -- 7 Limit Cycles -- 8 Forced Oscillators -- 9 Nonlinear Maps -- 10
Nonlinear PDE Phenomena -- 11 Numerical Simulation -- 12 Inverse Scattering Method -- II Experimental Activities -- to Nonlinear Experiments -- 1 Spin Toy Pendulum -- 2 Driven Eardrum -- 3 Nonlinear Damping -- 4 Anharmonic Potential --
5 Iron Core Inductor -- 6 Nonlinear LRC Circuit -- 7 Tunnel Diode Negative Resistance Curve -- 8 Tunnel Diode Self-Excited Oscillator -- 9 Forced Duffing Equation -- 10 Focal Point Instability -- 11 Compound Pendulum -- 12 Stable Limit
Cycle -- 13 Van der Pol Limit Cycle -- 14 Relaxation Oscillations: Neon Bulb -- 15 Relaxation Oscillations: Drinking Bird -- 16 Relaxation Oscillations: Tunnel Diode -- 17 Hard Spring -- 18 Nonlinear Resonance Curve: Mechanical -- 19
Nonlinear Resonance Curve: Electrical -- 20 Nonlinear Resonance Curve: Magnetic -- 21 Subharmonic Response: Period Doubling -- 22 Diode: Period Doubling -- 23 Five-Well Magnetic Potential -- 24 Power Spectrum -- 25 Entrainment and
Quasiperiodicity -- 26 Quasiperiodicity -- 27 Chua’s Butterfly -- 28 Route to Chaos -- 29 Driven Spin Toy -- 30 Mapping
ISBN:9781461213222
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Computers , Computer-aided engineering , Statistical physics , Dynamical systems , Physics , Theoretical, Mathematical and Computational Physics , Physics, general , Theory of Computation , Numerical and Computational Physics , Statistical Physics, Dynamical Systems and Complexity , Computer-Aided Engineering (CAD, CAE) and Design
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Call number:SPRINGER-1999-9783662038666:ONLINE Show nearby items on shelf
Title:Chaos A Program Collection for the PC
Author(s): H. J Korsch
Date:1999
Edition:Second Edition
Size:1 online resource (312 p.)
Note:10.1007/978-3-662-03866-6
Contents:1 Overview and Basic Concepts -- 2 Nonlinear Dynamics and Deterministic Chaos -- 3 Billiard Systems -- 4 Gravitational Billiards: The Wedge -- 5 The Double Pendulum -- 6 Chaotic Scattering -- 7 Fermi Acceleration -- 8 The Duffing
Oscillator -- 9 Feigenbaum Scenario -- 10 Nonlinear Electronic Circuits -- 11 Mandelbrot and Julia Sets -- 12 Ordinary Differential Equations -- A System Requirements and Program Installation -- B General Remarks on Using the Programs
ISBN:9783662038666
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Quantum physics , Mechanics , 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 , Mechanics
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Call number:SPRINGER-1999-9783034887656:ONLINE Show nearby items on shelf
Title:Topics in Nonlinear Analysis The Herbert Amann Anniversary Volume
Author(s):
Date:1999
Size:1 online resource (748 p.)
Note:10.1007/978-3-0348-8765-6
Contents:Remarks on Bifurcation from the Essential Spectrum -- Constructions with Analytic Semigroups and Abstract Exponential Decay Results for Eigenfunctions -- Wiener Regularity and Heat Semigroups on Spaces of Continuous Functions --
Infinitely Many Solutions of Nonlinear Elliptic Systems -- Hölder Regularity for a Linear Fractional Evolution Equation -- Non Gradient Perturbations of Ornstein-Uhlenbeck Semigroups -- Remarks on Jumping Nonlinearities -- Local
Singular Variation of Domain for Semilinear Elliptic Equations -- Singular Semilinear Elliptic Equations in L1 (?N) -- Moving Surfaces and Abstract Parabolic Evolution Equations -- Evolution Equations with Dissipation of Memory Type --
Large Time Behavior of Solutions of a Semilinear Parabolic Equation with a Nonlinear Dynamical Boundary Condition -- Functional Properties of the Navier-Stokes Operator and Bifurcation of Stationary Solutions: Planar Exterior Domains
-- Loss of Convexity of Simple Closed Curves Moved by Surface Diffusion -- On the Equations of Fiber Spinning in Nonisothermal Viscous Flow -- On Radial Solutions of Quasilinear Boundary Value Problems -- Operator Valued Fourier
Multipliers -- Properties of Pseudoholomorphic Curves in Symplectizations III: Fredholm Theory -- Variational Principles for Minimal Surfaces -- Hysteresis Operators in Phase-Field Models -- Regularity for a Class of Sums of
Noncommuting Operators -- On Stationary Incompressible Navier-Stokes Flows with Fast Decay and the Vanishing Flux Condition -- Non-stationary Viscous Flows with a Cylindrical Free Surface -- A Note on Heteroclinics for a Hamiltonian
System of Double Pendulum Type -- Stability Properties Related to the Magnetic Bénard Problem -- Remarks on the Asymptotic Bounds for the Energy Dissipation in the Couette Problem -- A Special Class of Weak Solutions of the
Navier-Stokes Equations in Arbitrary Three-dimensional Domains -- On Quasistationary Approximation in the Problem of Motion of a Capillary Drop -- On the Asymptotic Behaviour of a Landau-Ginzburg Model for the Martensitic Phase
Transitions in Shape Memory Alloys -- Decompositions of Function Spaces -- Functional Calculus for Unbounded Operators by Integration over the Positive Real Axis. Applications to Elliptic Systems in Half-Cylinders
ISBN:9783034887656
Series:eBooks
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Series:Progress in Nonlinear Differential Equations and Their Applications : 35
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1998-9781475729535:ONLINE Show nearby items on shelf
Title:Introduction to Mathematical Systems Theory A Behavioral Approach
Author(s): Jan Willem Polderman
Date:1998
Size:1 online resource (424 p.)
Note:10.1007/978-1-4757-2953-5
Contents:1 Dynamical Systems -- 2 Systems Defined by Linear Differential Equations -- 3 Time Domain Description of Linear Systems -- 4 State Space Models -- 5 Controllability and Observability -- 6 Elimination of Latent Variables and State
Space Representations -- 7 Stability Theory -- 8 Time- and Frequency-Domain Characteristics of Linear Time-Invariant Systems -- 9 Pole Placement by State Feedback -- 10 Observers and Dynamic Compensators -- A Simulation Exercises --
A.1 Stabilization of a Cart -- A.2 Temperature Control of a Container -- A.3 Autonomous Dynamics of Coupled Masses -- A.4 Satellite Dynamics -- A.4.1 Motivation -- A.4.2 Mathematical modeling -- A.4.3 Equilibrium Analysis -- A.4.4
Linearization -- A.4.5 Analysis of the model -- A.4.6 Simulation -- A.5 Dynamics of a Motorbike -- A.6 Stabilization of a Double Pendulum -- A.6.1 Modeling -- A.6.2 Linearization -- A.6.3 Analysis -- A.6.4 Stabilization -- A.7 Notes
and References -- B Background Material -- B.1 Polynomial Matrices -- B.2 Partial Fraction Expansion -- B.3 Fourier and Laplace Transforms -- B.3.1 Fourier transform -- B.3.2 Laplace transform -- B.4 Notes and References -- B.5
Exercises -- Notation -- References
ISBN:9781475729535
Series:eBooks
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Series:Texts in Applied Mathematics: 26
Keywords: Mathematics , Chemometrics , Calculus of variations , Computational intelligence , Mathematics , Calculus of Variations and Optimal Control Optimization , Math. Applications in Chemistry , Computational Intelligence
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Call number:SPRINGER-1997-9789401151573:ONLINE Show nearby items on shelf
Title:Differential Equations Theory, Numerics and Applications Proceedings of the ICDE ’96 held in Bandung Indonesia
Author(s):
Date:1997
Size:1 online resource (389 p.)
Note:10.1007/978-94-011-5157-3
Contents:Parametric Excitation in Mechanical Systems -- Generation and Suppression of Radiation by Solitary Pulses -- Buffeting Problems modelling by use of Lifting Surface Methods in Unsteady Aerodynamics with Separation -- The Influence of
an External Force on a Solitary Wave -- An Asymptotic Method in Ship Hydrodynamics -- Non Classical Solitary Waves -- Mathematical Modelling of Tidal Motion in Regional Waters of Singapore -- Phase Portraits of Quadratic Systems --
Microwave Heating: Critical Dependence on Data and Parameters -- On the Convergence of Sampled Data Nonlinear System -- Nonlinear Galerkin Methods for Hamiltonian Systems Comparison of Two Approximation Techniques -- On Internal
Resonances For a Weakly Nonlinear Beam Equation -- Genus-two Solutions to the Kadomtsev-Petviashvili Equation -- On the Formation of Hotspot in Microwave Heating -- Model Manifolds for Analysing Data of Wave Splitting -- Modelling of
Sediment Transport and Bathymetric Change in Lemah Abang, Jepara Coastal Waters -- A Double Pendulum in a Wind Field -- Solution of the Affine Toda Equations as an Initial Value Problem -- Mathematical Modelling of Chlorine Decay in a
Contact Tank -- The Dynamics of a Near-Grazing Oscillator -- Oscillation Criteria for Second Order Nonlinear Differential Equations -- Radiation and Diffraction of Sound from Bodies Mounted on an Infinite Baffle Using Boundary Element
Methods -- A Differential Equation for Filtering of a Stochastic Dynamical System -- General Theory of Relativity Without Christoffel Symbols -- A Back-turning Jet Formed by a Uniform Shallow Stream Hitting a Vertical Wall -- A
Fifth-order Five-stage RK-Method Based on Harmonic Mean
ISBN:9789401151573
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Earth sciences , Partial differential equations , Applied mathematics , Engineering mathematics , Fluids , Mathematics , Partial Differential Equations , Applications of Mathematics , Earth Sciences, general , Fluid- and Aerodynamics
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Call number:SPRINGER-1997-9783034888912:ONLINE Show nearby items on shelf
Title:Global Aspects of Classical Integrable Systems
Author(s): Richard H Cushman
Date:1997
Size:1 online resource (435 p.)
Note:10.1007/978-3-0348-8891-2
Contents:I. The harmonic oscillator -- 1. Hamilton’s equations and Sl symmetry -- 2. S1 energy momentum mapping -- 3. U(2) momentum mapping -- 4. The Hopf fibration -- 5. Invariant theory and reduction -- 6. Exercises -- II. Geodesics on S3 --
1. The geodesic and Delaunay vector fields -- 2. The SO(4) momentum mapping -- 3. The Kepler problem -- 4. Exercises -- III The Euler top -- 1. Facts about SO(3) -- 2. Left invariant geodesics -- 3. Symmetry and reduction -- 4.
Qualitative behavior of the reduced system -- 5. Analysis of the energy momentum map -- 6. Integration of the Euler-Arnol’d equations -- 7. The rotation number -- 8. A twisting phenomenon -- 9. Exercises -- IV. The spherical pendulum
-- 1. Liouville integrability -- 2. Reduction of the Sl symmetry -- 3. The energy momentum mapping -- 4. Rotation number and first return time -- 5. Monodromy -- 6. Exercises -- V. The Lagrange top -- 1. The basic model -- 2. Liouville
integrability -- 3. Reduction of the right Sl action -- 4. Reduction of the left S1 action -- 5. The Poisson structure -- 6. The Euler-Poisson equations -- 7. The energy momemtum mapping -- 8. The Hamiltonian Hopf bifurcation -- 9.
Exercises -- Appendix A. Fundamental concepts -- 1. Symplectic linear algebra -- 2. Symplectic manifolds -- 3. Hamilton’s equations -- 4. Poisson algebras and manifolds -- 5. Exercises -- Appendix B. Systems with symmetry -- 1. Smooth
group actions -- 2. Orbit spaces -- 2.1 Orbit space of a proper action -- 2.2 Orbit space of a free action -- 2.3 Orbit space of a locally free action -- 3. Momentum mappings -- 3.1 General properties -- 3.2 Normal form -- 4.
Reduction: the regular case -- 5. Reduction: the singular case -- 6. Exercises -- Appendix C. Ehresmann connections -- 1. Basic properties -- 2. The Ehresmann theorems -- 3. Exercises -- Appendix D. Action angle coordinates -- 1. Local
action angle coordinates -- 2. Monodromy -- 3. Exercises -- Appendix E. Basic Morse theory -- 1. Preliminaries -- 2. The Morse lemma -- 3. The Morse isotopy lemma -- 4. Exercises -- Notes -- References -- Acknowledgements
ISBN:9783034888912
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Keywords: Physics , Physics , Theoretical, Mathematical and Computational Physics
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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)
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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-1997-9781461224389:ONLINE Show nearby items on shelf
Title:Laboratory Manual for Nonlinear Physics with Maple for Scientists and Engineers
Author(s): Richard H Enns
Date:1997
Size:1 online resource (136 p.)
Note:10.1007/978-1-4612-2438-9
Contents:1 Spin Toy Pendulum -- 2 Nonlinear Damping -- 3 Anharmonic Potential -- 4 Iron Core Inductor -- 5 Nonlinear LRC Circuit -- 6 Tunnel Diode Negative Resistance Curve -- 7 Tunnel Diode Self-Excited Oscillator -- 8 Forced Duffing Equation
-- 9 Focal Point Instability -- 10 Period of a Compound Pendulum -- 11 Stable Limit Cycle -- 12 Van der Pol Limit Cycle -- 13 Relaxation Oscillations: Neon Bulb -- 14 Relaxation Oscillations: Drinking Bird -- 15 Relaxation
Oscillations: Tunnel Diode -- 16 Hard Spring -- 17 Nonlinear Resonance Curve: Mechanical -- 18 Nonlinear Resonance Curve: Electrical -- 19 Nonlinear Resonance Curve: Magnetic -- 20 Subharmonic Response: Periodic Doubling -- 21 Diode:
Periodic Doubling -- 22 Power Spectrum -- 23 Entrainment and Quasiperiodicity -- 24 Quasiperiodicity: Neon Bulb -- 25 Chua’s Butterfly -- 26 Route to Chaos -- 27 Driven Spin Toy -- 28 Mapping
ISBN:9781461224389
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Physics , Physical measurements , Measurement , Statistical physics , Dynamical systems , Physics , Measurement Science and Instrumentation , Statistical Physics, Dynamical Systems and Complexity , Numerical and Computational Physics
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Call number:SPRINGER-1997-9781461220244:ONLINE Show nearby items on shelf
Title:Laws of Chaos Invariant Measures and Dynamical Systems in One Dimension
Author(s): Abraham Boyarsky
Date:1997
Size:1 online resource (400 p.)
Note:10.1007/978-1-4612-2024-4
Contents:1. Introduction -- 1.1 Overview -- 1.2 Examples of Piecewise Monotonic Transformations and the Density Functions of Absolutely Continuous Invariant Measures -- 2. Preliminaries -- 2.1 Review of Measure Theory -- 2.2 Spaces of
Functions and Measures -- 2.3 Functions of Bounded Variation in One Dimension -- 2.4 Conditional Expectations -- Problems for Chapter 2 -- 3. Review of Ergodic Theory -- 3.1 Measure-Preserving Transformations -- 3.2 Recurrence and
Ergodicity -- 3.3 The Birkhoff Ergodic Theorem -- 3.4 Mixing and Exactness -- 3.5 The Spectrum of the Koopman Operator and the Ergodic Properties of ? -- 3.6 Basic Constructions of Ergodic Theory -- 3.7 Infinite and Finite Invariant
Measures -- Problems for Chapter 3 -- 4. The Frobenius—Perron Operator -- 4.1 Motivation -- 4.2 Properties of the Frobenius—Perron Operator -- 4.3 Representation of the Frobenius—Perron Operator -- Problems for Chapter 4 -- 5.
Absolutely Continuous Invariant Measures -- 5.1 Introduction -- 5.2 Existence of Absolutely Continuous Invariant Measures -- 5.3 Lasota—Yorke Example of a Transformation with-out Absolutely Continuous Invariant Measure -- 5.4 Rychlik’s
Theorem for Transformations with Countably Many Branches -- Problems for Chapter 5 -- 6. Other Existence Results -- 6.1 The Folklore Theorem -- 6.2 Rychlik’s Theorem for C1+? Transformations of the Interval -- 6.3 Piecewise Convex
Transformations -- Problems for Chapter 6 -- 7. Spectral Decomposition of the Frobenius—Perron Operator -- 7.1 Theorem of Ionescu—Tulcea and Marinescu -- 7.2 Quasi-Compactness of Frobenius—Perron Operator -- 7.3 Another Approach to
Spectral Decomposition: Constrictiveness -- Problems for Chapter 7 -- 8. Properties of Absolutely Continuous Invariant Measures -- 8.1 Preliminary Results -- 8.2 Support of an Invariant Density -- 8.3 Speed of Convergence of the
Iterates of Pn?f -- 8.4 Bernoulli Property -- 8.5 Central Limit Theorem -- 8.6 Smoothness of the Density Function -- Problems for Chapter 8 -- 9. Markov Transformations -- 9.1 Definitions and Notation -- 9.2 Piecewise Linear Markov
Transformations and the Matrix Representation of the Frobenius—Perron Operator -- 9.3 Eigenfunctions of Matrices Induced by Piecewise Linear Markov Transformations -- 9.4 Invariant Densities of Piecewise Linear Markov Transformations
-- 9.5 Irreducibility and Primitivity of Matrix Representations of Frobenius—Perron Operators -- 9.6 Bounds on the Number of Ergodic Absolutely Continuous Invariant Measures -- 9.7 Absolutely Continuous Invariant Measures that Are
Maximal -- Problems for Chapter 9 -- 10. Compactness Theorem and Approximation of Invariant Densities -- 10.1 Introduction -- 10.2 Strong Compactness of Invariant Densities -- 10.3 Approximation by Markov Transformations -- 10.4
Application to Matrices: Compactness of Eigenvectors for Certain Non-Negative Matrices -- 11. Stability of Invariant Measures -- 11.1 Stability of a Linear Stochastic Operator -- 11.2 Deterministic Perturbations of Piecewise Expanding
Transformations -- 11.3 Stochastic Perturbations of Piecewise Expanding Transformations -- Problems for Chapter 11 -- 12. The Inverse Problem for the Frobenius—Perron Equation -- 12.1 The Ershov—Malinetskii Result -- 12.2 Solving the
Inverse Problem by Matrix Methods -- 13. Applications -- 13.1 Application to Random Number Generators -- 13.2 Why Computers Like Absolutely Continuous Invariant Measures -- 13.3 A Model for the Dynamics of a Rotary Drill -- 13.4 A
Dynamic Model for the Hipp Pendulum Regulator -- 13.5 Control of Chaotic Systems -- 13.6 Kolodziej’s Proof of Poncelet’s Theorem -- Problems for Chapter 13 -- Solutions to Selected Problems
ISBN:9781461220244
Series:eBooks
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Keywords: Mathematics , Dynamics , Ergodic theory , Applied mathematics , Engineering mathematics , Probabilities , Mathematics , Probability Theory and Stochastic Processes , Dynamical Systems and Ergodic Theory , Applications of Mathematics
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Call number:SPRINGER-1996-9789400901933:ONLINE Show nearby items on shelf
Title:Frequency Methods in Oscillation Theory
Author(s): G. A Leonov
Date:1996
Size:1 online resource (404 p.)
Note:10.1007/978-94-009-0193-3
Contents:1. Classical two-dimensional oscillating systems and their multidimensional analogues -- §1.1. The van der Pol equation -- §1.2. The equation of oscillations of a pendulum -- §1.3. Oscillations in two-dimensional systems with
hysteresis -- §1.4. Lower estimates of the number of cycles of a two-dimensional system -- 2. Frequency criteria for stability and properties of solutions of special matrix inequalities -- §2.1. Frequency criteria for stability and
dichotomy -- §2.2. Theorems on solvability and properties of special matrix inequalities -- 3. Multidimensional analogues of the van der Pol equation -- §3.1. Dissipative systems. Frequency criteria for dissipativity -- §3.2.
Second-order systems. Frequency realization of the annulus principle -- §3.3. Third-order systems. The torus principle -- §3.4. The main ideas of applying frequency methods for multidimensional systems -- §3.5. The criterion for the
existence of a periodic solution in a system with tachometric feedback -- §3.6. The method of transition into the space of derivatives -- §3.7. A positively invariant torus and the function quadratic form plus integral of nonlinearity
-- §3.8. The generalized Poincaré–Bendixson principle -- §3.9. A frequency realization of the generalized Poincaré-Bendixson principle -- §3.10. Frequency estimates of the period of a cycle -- 4. Yakubovich auto–oscillation -- §4.1.
Frequency criteria for oscillation of systems with one differentiable nonlinearity -- §4.2. Examples of oscillatory systems -- 5. Cycles in systems with cylindrical phase space -- §5.1. The simplest case of application of the nonlocal
reduction method for the equation of a synchronous machine -- §5.2. Circular motions and cycles of the second kind in systems with one nonlinearity -- §5.3. The method of systems of comparison -- §5.4. Examples -- §5.5. Frequency
criteria for the existence of cycles of the second kind in systems with several nonlinearities -- §5.6. Estimation of the period of cycles of the second kind -- 6. The Barbashin-Ezeilo problem -- §6.1. The existence of cycles of the
second kind -- §6.2. Bakaev stability. The method of invariant conical grids -- §6.3. The existence of cycles of the first kind in phase systems -- §6.4. A criterion for the existence of nontrivial periodic solutions of a third-order
nonlinear system -- 7. Oscillations in systems satisfying generalized Routh-Hurwitz conditions. Aizerman conjecture -- §7.1. The existence of periodic solutions of systems with nonlinearity from a Hurwitzian sector -- §7.2. Necessary
conditions for global stability in the critical case of two zero roots -- §7.3. Lemmas on estimates of solutions in the critical case of one zero root -- §7.4. Necessary conditions for absolute stability of nonautonomous systems --
§7.5. The existence of oscillatory and periodic solutions of systems with hysteretic nonlinearities -- 8. Frequency estimates of the Hausdorff dimension of attractors and orbital stability of cycles -- §8.1. Upper estimates of the
Hausdorff measure of compact sets under differentiable mappings -- §8.2. Estimate of the Hausdorff dimension of attractors of systems of differential equations -- §8.3. Global asymptotic stability of autonomous systems -- §8.4.
Zhukovsky stability of trajectories -- §8.5. A frequency criterion for Poincaré stability of cycles of the second kind -- §8.6. Frequency estimates for the Hausdorff dimension and conditions for global asymptotic stability
ISBN:9789400901933
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 357
Keywords: Mathematics , Fourier analysis , Global analysis (Mathematics) , Manifolds (Mathematics) , Differential equations , Applied mathematics , Engineering mathematics , Mathematics , Ordinary Differential Equations , Fourier Analysis , Global Analysis and Analysis on Manifolds , Applications of Mathematics
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Call number:SPRINGER-1996-9783642976735:ONLINE Show nearby items on shelf
Title:Elements of Newtonian Mechanics Including Nonlinear Dynamics
Author(s): Jens Martin Knudsen
Date:1996
Edition:Second Revised and Enlarged Edition
Size:1 online resource (435 p.)
Note:10.1007/978-3-642-97673-5
Contents:1. The Foundation of Classical Mechanics -- 1.1 Principia -- 1.2 Prerequisites for Newton -- 1.3 The Masterpiece -- 1.4 Concluding Remarks -- 1.5 Problems -- 2. Newton’s Five Laws -- 2.1 Newton’s Laws of Motion -- 2.2 Integration of
the Equation of Motion -- 2.3 Problems -- 3. Gravitational and Inertial Mass -- 3.1 Gravitational Mass -- 3.2 Inertial Mass -- 3.3 Proportionality Between Inertial and Gravitational Mass -- 3.4 Newton’s Experiment -- 3.5 Problem -- 4.
The Galilei Transformation -- 4.1 The Galilei Transformation -- 4.2 Galileo Speaks -- 4.3 Problems -- 5. The Motion of the Earth -- 5.1 Examples -- 5.2 Problems -- 6. Motion in Accelerated Reference Frames -- 6.1 Newton’s 2nd Law
Within Accelerated Reference Frames -- 6.2 The Equivalence Principle of Mechanics -- 6.3 The Einstein Box -- 6.4 The Centrifugal Force -- 6.5 Tidal Fields -- 6.6 The Coriolis Force -- 6.7 Tidal Forces and Local Inertial Frames -- 6.8
The Foucault Pendulum -- 6.9 Newton’s Bucket -- 6.10 Review: Fictitious Forces -- 6.11 Problems -- 7. The Problem of Motion -- 7.1 Kinematic and Dynamic Views of the Problem of Motion -- 7.2 Einstein Speaks -- 7.3 Symmetry -- 7.4 The
Symmetry (Invariance) of Newton’s 2nd Law -- 7.5 Limited Absolute Space -- 7.6 The Asymmetry (Variance) of Newton’s 2nd Law -- 7.7 Critique of the Newtonian View -- 7.8 Concluding Remarks -- 8. Energy -- 8.1 Work and Kinetic Energy --
8.2 Conservative Force Fields -- 8.3 Central Force Fields -- 8.4 Potential Energy and Conservation of Energy -- 8.5 Calculation of Potential Energy -- 8.6 The Gravitational Field Around a Homogeneous Sphere -- 8.7 Examples -- 8.8
Review: Conservative Forces and Potential Energy -- 8.9 Problems -- 9. The Center-of-Mass Theorem -- 9.1 The Center of Mass -- 9.2 The Center-of-Mass Frame -- 9.3 Examples -- 9.4 Review: Center of Mass and Center-of-Mass Theorems --
9.5 Comments on the Conservation Theorems -- 9.6 Problems -- 10. The Angular Momentum Theorem -- 10.1 The Angular Momentum Theorem for a Particle -- 10.2 Conservation of Angular Momentum -- 10.3 Torque and Angular Momentum Around an
Axis -- 10.4 The Angular Momentum Theorem for a System of Particles -- 10.5 Center of Gravity -- 10.6 Angular Momentum Around the Center of Mass -- 10.7 Review: Equations of Motion for a System of Particles -- 10.8 Examples of
Conservation of Angular Momentum -- 11. Rotation of a Rigid Body -- 11.1 Equations of Motion -- 11.2 The Rotation Vector -- 11.3 Kinetic Energy -- 11.4 An Arbitrary Rigid Body in Rotation Around a Fixed Axis -- 11.5 Calculation of the
Moment of Inertia for Simple Bodies -- 11.6 Equation of Motion for a Rigid Body Rotating Around a Fixed Axis -- 11.7 Work and Power in the Rotation of a Rigid Body Around a Fixed Axis -- 11.8 The Angular Momentum Theorem Referred to
Various Points -- 11.9 Examples -- 11.10 Review: Linear Motion and Rotation About a Fixed Axis -- 11.11 Problems -- 12. The Laws of Motion -- 12.1 Review: Classical Mechanics -- 12.2 Remarks on the Three Conservation Theorems -- 12.3
Examples -- 12.4 Problems -- 13. The General Motion of a Rigid Body -- 13.1 Inertia in Rotational Motion -- 13.2 The Inertia Tensor -- 13.3 Euler’s Equations -- 13.4 Kinetic Energy -- 13.5 Determination of the Principal Coordinate
System -- 13.6 Problems -- 14. The Motion of the Planets -- 14.1 Tycho Brahe -- 14.2 Kepler and the Orbit of Mars -- 14.3 Conic Sections -- 14.4 Newton’s Law of Gravity Derived from Kepler’s Laws -- 14.5 The Kepler Problem -- 14.6 The
Effective Potential -- 14.7 The Two-Body Problem -- 14.8 Double Stars: The Motion of the Heliocentric Reference Frame -- 14.9 Review: Kepler Motion -- 14.10 Examples -- 14.11 Problems -- 15. Harmonic Oscillators -- 15.1 Small
Oscillations -- 15.2 Energy in Harmonic Oscillators -- 15.3 Free Damped Oscillations -- 15.4 Energy in Free, Weakly Damped Oscillations -- 15.5 Forced Oscillations -- 15.6 The Forced Damped Harmonic Oscillator -- 15.7 Frequency
Characteristics -- 15.8 Power Absorption -- 15.9 The Q-Value of a Weakly Damped Harmonic Oscillator -- 15.10 The Lorentz Curve -- 15.11 Complex Numbers -- 15.12 Problems -- 16. Remarks on Nonlinearity and Chaos -- 16.1 Determinism vs
Predictability -- 16.2 Linear and Nonlinear Differential Equations -- 16.3 Phase Space -- 16.4 A Forced, Damped Nonlinear Oscillator -- 16.5 Liapunov Exponents -- 16.6 Chaos in the Solar System -- 16.7 Problems -- Appendix. Vectors and
Vector Calculus -- Selected References -- Answers to Problems
ISBN:9783642976735
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Keywords: Physics , Quantum physics , Mechanics , Quantum computers , Spintronics , Physics , Quantum Physics , Mechanics , Quantum Information Technology, Spintronics
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Call number:SPRINGER-1996-9783642783937:ONLINE Show nearby items on shelf
Title:Symmetries, Topology and Resonances in Hamiltonian Mechanics
Author(s): Valerij V Kozlov
Date:1996
Size:1 online resource (378 p.)
Note:10.1007/978-3-642-78393-7
Contents:I Hamiltonian Mechanics -- 1 The Hamilton Equations -- 2 Euler-Poincaré Equations on Lie Algebras -- 3 The Motion of a Rigid Body -- 4 Pendulum Oscillations -- 5 Some Problems of Celestial Mechanics -- 6 Systems of Interacting
Particles -- 7 Non-holonomic Systems -- 8 Some Problems of Mathematical Physics -- 9 The Problem of Identification of Hamiltonian Systems -- II Integration of Hamiltonian Systems -- 1 Integrals. Classes of Integrals of Hamiltonian
Systems -- 2 Invariant Relations -- 3 Symmetry Groups -- 4 Complete Integrability -- 5 Examples of Completely Integrable Systems -- 6 Isomorphisms of Some Integrable Hamiltonian Systems -- 7 Separation of Variables -- 8 The Heisenberg
Representation -- 9 Algebraically Integrable Systems -- 10 Perturbation Theory -- 11 Normal Forms -- III Topological and Geometrical Obstructions to Complete Integrability -- 1 Topology of the Configuration Space of an Integrable
System -- 2 Proof of Nonintegrability Theorems -- 3 Geometrical Obstructions to Integrability -- 4 Systems with Gyroscopic Forces -- 5 Generic Integrals -- 6 Topological Obstructions to the Existence of Linear Integrals -- 7 Topology
of the Configuration Space of Reversible Systems with Nontrivial Symmetry Groups -- IV Nonintegrability of Hamiltonian Systems Close to Integrable Ones -- 1 The Poincaré Method -- 2 Applications of the Poincaré Method -- 3 Symmetry
Groups -- 4 Reversible Systems With a Torus as the Configuration Space -- 5 A Criterion for Integrability in the Case When the Potential is a Trigonometric Polynomial -- 6 Some Generalizations -- 7 Systems of Interacting Particles -- 8
Birth of Isolated Periodic Solutions as an Obstacle to Integrability -- 9 Non-degenerate Invariant Tori -- 10 Birth of Hyperbolic Invariant Tori -- 11 Non-Autonomous Systems -- V Splitting of Asymptotic Surfaces -- 1 Asymptotic
Surfaces and Splitting Conditions -- 2 Theorems on Nonintegrability -- 3 Some Applications -- 4 Conditions for Nonintegrability of Kirchhoff’s Equations -- 5 Bifurcation of Separatrices -- 6 Splitting of Separatrices and Birth of
Isolated Periodic Solutions -- 7 Asymptotic Surfaces of Unstable Equilibria -- 8 Symbolic Dynamics -- VI Nonintegrability in the Vicinity of an Equilibrium Position -- 1 Siegel’s Method -- 2 Nonintegrability of Reversible Systems -- 3
Nonintegrability of Systems Depending on Parameters -- 4 Symmetry Fields in the Vicinity of an Equilibrium Position -- VII Branching of Solutions and Nonexistence of Single-Valued Integrals -- 1 The Poincaré Small Parameter Method -- 2
Branching of Solutions and Polynomial Integrals of Reversible Systems on a Torus -- 3 Integrals and Symmetry Groups of Quasi-Homogeneous Systems of Differential Equations -- 4 Kovalevskaya Numbers for Generalized Toda Lattices -- 5
Monodromy Groups of Hamiltonian Systems with Single-Valued Integrals -- VIII Polynomial Integrals of Hamiltonian Systems -- 1 The Birkhoff Method -- 2 Influence of Gyroscopic Forces on the Existence of Polynomial Integrals -- 3
Polynomial Integrals of Systems with One and a Half Degrees of Freedom -- 4 Polynomial Integrals of Hamiltonian Systems with Exponential Interaction -- 5 Perturbations of Hamiltonian Systems with Non-Compact Invariant Surfaces --
References
ISBN:9783642783937
Series:eBooks
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Series:Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics: 31
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Physics , Mathematics , Analysis , Mathematical Methods in Physics , Numerical and Computational Physics
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Call number:SPRINGER-1996-9781461240907:ONLINE Show nearby items on shelf
Title:The Sheer Joy of Celestial Mechanics
Author(s): Nathaniel Grossman
Date:1996
Size:1 online resource (182 p.)
Note:10.1007/978-1-4612-4090-7
Contents:I. Rotating Coordinates -- 1. Some kinematics -- 2. Dynamics -- 3. Newton’s Laws of Motion -- 4. The Laws of Motion and conservation laws -- 5. Simple harmonic motion -- 6. Linear motion in an inverse square field -- 7. Pendulum in a
uniform gravitational field -- 8. Foucault’s pendulum -- II. Central Forces -- 1. Motion in a central field -- 2. Force and orbit -- 3. The integrable cases of central forces -- 4. Bonnet’s Theorem -- 5. Miscellaneous exercises -- 6.
Motion on a surface of revolution -- III. Orbits under the Inverse Square Law -- 1. Kepler’s three laws and Newton’s Law -- 2. The orbit from Newton’s Law -- 3. The true, eccentric, and mean anomalies -- 4. Kepler’s equation -- 5.
Solution of Kepler’s equation -- 6. The velocity of a planet in its orbit -- 7. Drifting of the gravitational constant -- IV. Expansions for an Elliptic Orbit -- 1. The general problem -- 2. Lagrange’s expansion theorem -- 3. Bessel
coefficients -- 4. Fourier series -- 5. Preliminaries for expansions -- 6. Some algebraically-derived expansions -- 7. Expansions in terms of the mean anomaly -- V. Gravitation and Closed Orbits -- 1. Bertrand’s characterization of a
universal gravitation -- 2. Circular motions -- 3. Neighbors of circular motions -- 4. Higher perturbations completion of the proof -- 5. From differential geometry in the large -- 6. Ovals described under a central attraction -- VI.
Dynamical Properties of Rigid Bodies -- 1. From discrete to continuous distributions of mass -- 2. Moments of inertia -- 3. Particular moments of inertia -- 4. Euler’s equations of motion -- 5. Euler free motion of the Earth -- 6.
Feynman’s wobbling plate -- 7. The gyrocompass -- 8. Euler angles -- VII. Gravitational Properties of Solids -- 1. The gravitational potential of a sphere -- 2. Potential of a distant body MacCullagh’s formula -- 3. Precession of the
equinoxes -- 4. Internal potential of a homogeneous ellipsoid -- 5. External potential of a homogeneous ellipsoid -- VIII. Shape of a Self-Gravitating Fluid -- 1. Hydrostatic equilibrium -- 2. Distortion of a liquid sphere by a distant
mass -- 3. Tide-raising on a ringed planet -- 4. Clairaut and the variation of gravity -- 5. Poincaré’s inequality for rotating fluids -- 6. Liechtenstein’s symmetry theorem -- 7. Rotundity of a rotating fluid -- 8. Ellipsoidal figures
of rotating fluids
ISBN:9781461240907
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Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Astronomy , Astrophysics , Cosmology , Observations, Astronomical , Astronomy , Mathematics , Analysis , Astronomy, Astrophysics and Cosmology , Astronomy, Observations and Techniques , Astrophysics and Astroparticles
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Call number:SPRINGER-1995-9789401101394:ONLINE Show nearby items on shelf
Title:Royal Observatory, Cape of Good Hope 1820–1831 The Founding of a Colonial Observatory Incorporating a biography of Fearon Fallows
Author(s): Brian Warner
Date:1995
Size:1 online resource (240 p.)
Note:10.1007/978-94-011-0139-4
Contents:1: From Cockermouth to the Cape Via Cambridge -- The Origins of the Royal Observatory, CGH -- The Young Fallows -- Cambridge Undergraduate -- Religious Orders -- A Cambridge Career -- Mathematical Reform -- Astronomy at Cambridge --
The Royal Astronomical Society and the Royal Society -- Preparations for Departure -- 2: Cape Residence -- Voyage to the Cape -- Initial Impressions -- The Temporary Observatories -- The Catalogue of Southern Stars -- A Proposed Time
Service -- The Search for a Suitable Site -- Lacaille’s Observatory -- Fallows’s Personal Life -- Financial Arrangements -- George Thompson -- Captain Owen and the Longitude of the Cape -- Minor Publications -- Observations of Eclipses
-- The Assistants -- Diversions -- 3: Birth of the Observatory -- Land Acquisition: 1823–24 -- The Plan Delayed -- The Architect -- The Architecture -- The First Contract -- John Cannon -- The Meridian Line -- John Skirrow -- The
Foundations -- Winter 1825 -- The Second Contract -- Synopsis of the Construction -- Security Measures -- Quality Control -- The Chases -- Instrument Piers -- Outhouses -- The Domes -- Fittings and Furniture -- 4: Instrumentation --
The Zenith Sector -- The Mural Circle -- The Transit Instrument -- Transportation to the Observatory -- Captain Ronald -- The Herschel 14-foot Reflector -- Clocks and Chronometers -- 5: Life at the Observatory -- Residential Occupation
-- Land Acquisition: 1827–28 -- Klerck’s Estate -- Completion of the Instrument Piers -- The Meridian Marks -- The Observatory Well -- Beautifying the Site -- Manuel Johnson and the St. Helena Observatory -- Cambridge University
Observatory -- Paramatta Observatory -- The South African Museum -- Miscellaneous Associations -- Ecclesiastical Involvements -- The Observatory and Slavery -- The Cape Wine Trade Committee -- 6: No Bed of Roses -- Response to
Criticism -- Threat of Abortion -- Swinging the Pendulum -- Testing the Transit and Mural Instruments -- The Departure of Captain Ronald -- First (and only) Meridian Results -- The Mural Circle: Completion of the Saga -- Final Days --
The Observatory in Limbo -- Mrs. Fallows -- Final Publication -- References
ISBN:9789401101394
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Keywords: Physics , History , Observations, Astronomical , Astronomy , Physics , Astronomy, Observations and Techniques , History, general
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Call number:SPRINGER-1995-9783642975998:ONLINE Show nearby items on shelf
Title:Elements of Newtonian Mechanics
Author(s): Jens M Knudsen
Date:1995
Size:1 online resource (413 p.)
Note:10.1007/978-3-642-97599-8
Contents:1. The Foundation of Classical Mechanics -- 1.1 Principia -- 1.2 Prerequisites for Newton -- 1.3 The Masterpiece -- 1.4 Concluding Remarks -- 1.5 Problems -- 2. Newton’s Five Laws -- 2.1 Newton’s Laws of Motion -- 2.2 Integration of
the Equation of Motion -- 2.3 Problems -- 3. Gravitational and Inertial Mass -- 3.1 Gravitational Mass -- 3.2 Inertial Mass -- 3.3 Proportionality Between Inertial and Gravitational Mass -- 3.4 Newton’s Experiment -- 3.5 Problem -- 4.
The Galilei Transformation -- 4.1 The Galilei Transformation -- 4.2 Galileo Speaks -- 4.3 Problems -- 5. The Motion of the Earth -- 5.1 Examples -- 5.2 Problems -- 6. Motion in Accelerated Reference Frames -- 6.1 Newton’s 2nd Law
Within Accelerated Reference Frames -- 6.2 The Equivalence Principle of Mechanics -- 6.3 The Einstein Box -- 6.4 The Centrifugal Force -- 6.5 Tidal Fields -- 6.6 The Coriolis Force -- 6.7 Tidal Forces and Local Inertial Frames -- 6.8
The Foucault Pendulum -- 6.9 Newton’s Bucket -- 6.10 Review of Chapter 6 -- 6.11 Problems -- 7. The Problem of Motion -- 7.1 Kinematic and Dynamic Views of the Problem of Motion -- 7.2 Einstein Speaks -- 7.3 Symmetry -- 7.4 The
Symmetry (Invariance) of Newton’s 2nd Law -- 7.5 Limited Absolute Space -- 7.6 The Asymmetry (Variance) of Newton’s 2nd Law -- 7.7 Critique of the Newtonian View -- 7.8 Concluding Remarks -- 8. Energy -- 8.1 Work and Kinetic Energy --
8.2 Conservative Force Fields -- 8.3 Central Force Fields -- 8.4 Potential Energy and Conservation of Energy -- 8.5 Calculation of Potential Energy -- 8.6 The Gravitational Field Around a Homogeneous Sphere -- 8.7 Examples -- 8.8
Review: Conservation Forces and Potential Energy -- 8.9 Problems -- 9. The Center-of-Mass Theorem -- 9.1 The Center of Mass -- 9.2 The Center-of-Mass Frame -- 9.3 Examples -- 9.4 Review -- 9.5 Problems -- 10. The Angular Momentum
Theorem -- 10.1 The Angular Momentum Theorem for a Particle -- 10.2 Conservation of Angular Momentum -- 10.3 Torque and Angular Momentum Around an Axis -- 10.4 The Angular Momentum Theorem for a System of Particles -- 10.5 Center of
Gravity -- 10.6 Angular Momentum Around the Center of Mass -- 10.7 Review -- 10.8 Examples of Conservation of Angular Momentum -- 11. Rotation of a Rigid Body -- 11.1 Equations of Motion -- 11.2 The Rotation Vector -- 11.3 Kinetic
Energy -- 11.4 An Arbitrary Rigid Body in Rotation Around a Fixed Axis -- 11.5 Calculation of the Moment of Inertia for Simple Bodies -- 11.6 Equation of Motion for a Rigid Body Rotating Around a Fixed Axis -- 11.7 Work and Power in
the Rotation of a Rigid Body Around a Fixed Axis -- 11.8 The Angular Momentum Theorem Referred to Various Points -- 11.9 Examples -- 11.10 Review: Comparison Between Linear Motion and Rotation About a Fixed Axis -- 11.11 Problems --
12. The Laws of Motion -- 12.1 Classical Mechanics: A Review -- 12.2 Examples -- 12.3 Problems -- 13. The General Motion of a Rigid Body -- 13.1 Inertia in Rotational Motion -- 13.2 The Inertia Tensor -- 13.3 Euler’s Equations -- 13.4
Kinetic Energy -- 13.5 Determination of the Principal Coordinate System -- 13.6 Problems -- 14. The Motion of the Planets -- 14.1 Tycho Brahe -- 14.2 Kepler and the Orbit of Mars -- 14.3 Conic Sections -- 14.4 Newton’s Law of Gravity
Derived from Kepler’s Laws -- 14.5 The Kepler Problem -- 14.6 The Effective Potential -- 14.7 The Two-Body Problem -- 14.8 Double Stars: The Motion of the Heliocentric Reference Frame -- 14.9 Review: Kepler Motion -- 14.10 Examples --
14.11 Problems -- 15. Harmonic Oscillators -- 15.1 Small Oscillations -- 15.2 Energy in Harmonic Oscillators -- 15.3 Free Damped Oscillations -- 15.4 Energy in Free, Weakly Damped Oscillations -- 15.5 Forced Oscillations -- 15.6 The
Forced Damped Harmonic Oscillator -- 15.7 Frequency Characteristics -- 15.8 Power Absorption -- 15.9 The Q- Value of a Weakly Damped Harmonic Oscillator -- 15.10 The Lorentz Curve -- 15.11 Complex Numbers -- 15.12 Problems -- Appendix.
Vectors and Vector Calculus -- Selected References -- Answers to Problems
ISBN:9783642975998
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Keywords: Physics , Quantum physics , Mechanics , Quantum computers , Spintronics , Physics , Quantum Physics , Mechanics , Quantum Information Technology, Spintronics
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Call number:SPRINGER-1995-9781461384489:ONLINE Show nearby items on shelf
Title:Hamiltonian Dynamical Systems History, Theory, and Applications
Author(s):
Date:1995
Size:1 online resource (385 p.)
Note:10.1007/978-1-4613-8448-9
Contents:History -- The Concept of Elastic Stress in Eighteenth-Century Mechanics: Some Examples from Euler -- Book Two of Radical Principia -- Factoring the Lunar Problem: Geometry, Dynamics, and Algebra in the Lunar Theory from Kepler to
Clairaut -- Theory and Applications -- A Limiting Absorption Principle for Separated Dirac Operators with Wigner von Neumann Type Potentials -- Lax Pairs in the Henon-Heiles and Related Families -- Poincaré Compactification of
Hamiltonian Polynomial Vector Fields -- Transverse Homoclinic Connections for Geodesic Flows -- A New Proof of Anosov’s Averaging Theorem -- Bifuracation in the Generalized van der Waals Interaction: The Polar Case (M = 0) -- Energy
Equipartition and Nekhoroshev-Type Estimates for Large Systems -- Suspension of Symplectic Twist Maps by Hamiltonians -- Global Structural Stability of Planar Hamiltonian Vector Fields -- Analytic Torsion, Flows and Foliations --
Linearized Dynamics of Symmetric Lagrangian Systems -- A 1:—1 Semisimple Hamiltonian Hopf Bifurcation in Vortex Dynamics -- Stability of Hamiltonian Systems over Exponentially Long Times: The Near-Linear Case -- Constrained Variational
Principles and Stability in Hamiltonian Systems -- The Global Phase Structure of the Three Dimensional Isosceles Three Body Problem with Zero Energy -- Non-canonical Transformations of Nonlinear Hamiltonians -- Linear Stability
Analysis of Some Symmetrical Classes of Relative Equilibria -- Identical Maslov Indices from Different Symplectic Structures -- Discretization of Autonomous Systems and Rapid Forcing -- Computing the Motion of the Moon Accurately -- On
the Rapidly Forced Pendulum -- Existence of Invariant Tori for Certain Non-Symplectic Diffeomorphisms
ISBN:9781461384489
Series:eBooks
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Series:The IMA Volumes in Mathematics and its Applications: 63
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1994-9783662029916:ONLINE Show nearby items on shelf
Title:Chaos A Program Collection for the PC
Author(s): H. J Korsch
Date:1994
Size:1 online resource (313 p.)
Note:10.1007/978-3-662-02991-6
Contents:1. Overview and Basic Concepts -- 2. Nonlinear Dynamics and Deterministic Chaos -- 3. Billiard Systems -- 4. Gravitational Billiards: The Wedge -- 5. The Double Pendulum -- 6. Chaotic Scattering -- 7. Fermi Acceleration -- 8. The
Duffing Oscillator -- 9. Feigenbaum Scenario -- 10. Nonlinear Electronic Circuits -- 11. Mandelbrot and Julia Sets -- 12. Ordinary Differential Equations -- A. System Requirements and Program Installation -- A.1 System Requirements --
A.2 Installing the Programs -- A.3 Programs and Files -- B. General Remarks on Using the Programs -- B.1 Mask Menus -- B.2 The File-Select Box -- B.3 Input of Mathematical Expression -- B.4 Selection of Points or Areas in Graphics
ISBN:9783662029916
Series:eBooks
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Keywords: Physics , Quantum physics , Mechanics , 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 , Mechanics
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Call number:SPRINGER-1994-9783034875158:ONLINE Show nearby items on shelf
Title:Seminar on Dynamical Systems Euler International Mathematical Institute, St. Petersburg, 1991
Author(s):
Date:1994
Size:1 online resource (292 p.)
Note:10.1007/978-3-0348-7515-8
Contents:I. KAM theory and related topics -- 1. The dynamical foundation of classical statistical mechanics and the Boltzmann-Jeans conjecture -- 2. Stability of nearly integrable convex hamiltonian system over exponentially long times -- 3.
On the stability problem for nearly-integrable hamiltonian systems -- 4. Separatrices splitting for the rapidly forced pendulum -- 5. Exponentially small expressions for separatrix splitting -- 6. An unusual variational problem
connected with Mather’s theory for monotone twist mappings -- 7. Periodic Metrics -- 8. On the inclusion of analytic symplectic maps in analytic hamiltonian flows and its applications -- 9.Poincaré Compacti-fication of the Kepler and
the collinear three body problems -- 10. A note on the existence of heteroclinic orbits in the planar three-body problem -- 11. KAM tori for modulated symplectic maps -- 12. Analyticity of normalizing transformations for area
preserving maps -- 13. On the frequencies of quasi-periodic solutions of analytic nearly integrable hamiltonian systems -- 14. New results in the reversible KAM theory -- II. Infinite dimensional dynamical systems -- 15. Maximal almost
periodic solutions for Lagrangian equations on infinite dimensional tori -- 16. Nonpersistence of breather solutions under perturbation of the Sine-Gordon equation -- III. Miscellanea -- 17. Attractors, integrable hamiltonian systems
and the Reidemeister torsion -- 18. Linear connections for hamiltonian dynamics over isotropic submanifold -- 19. Four-dimensional integrable hamiltonian systems with simple singular points -- 20. Periodic points and Symbolic Dynamics
-- 21. On the perturbation of locally non-unique invariant manifolds -- 22. Complex geometry of the billiard on the ellipsoid and quasicristallic curves
ISBN:9783034875158
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Series:Progress in Nonlinear Differential Equations and Their Applications : 12
Keywords: Science , Science , Science, general
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Call number:SPRINGER-1993-9783642779848:ONLINE Show nearby items on shelf
Title:Theoretical Physics A Classical Approach
Author(s): Josef Honerkamp
Date:1993
Size:1 online resource (569 p.)
Note:10.1007/978-3-642-77984-8
Contents:1. Introduction -- 2. Newtonian Mechanics -- 2.1 Space and Time in Classical Mechanics -- 2.2 Newton’s Laws -- 2.3 A Few Important Force Laws -- 2.4 The Energy of a Particle in a Force Field -- 2.5 Several Interacting Particles -- 2.6
Momentum and Momentum Conservation -- 2.7 Angular Momentum -- 2.8 The Two-Body Problem -- 2.9 The Kepler Problem -- 2.10 Scattering -- 2.11 The Scattering Cross-Section -- 2.12 The Virial Theorem -- 2.13 Mechanical Similarity -- 2.14
Some General Observations About the Many-Body Problem -- Problems -- 3. Lagrangian Methods in Classical Mechanics -- 3.1 A Sketch of the Problem and Its Solution in the Case of a Pendulum -- 3.2 The Lagrangian Method of the First Type
-- 3.3 The Lagrangian Method of the Second Type -- 3.4 The Conservation of Energy in Motions Which are Limited by Constraints -- 3.5 Non-holonomic Constraints -- 3.6 Invariants and Conservation Laws -- 3.7 The Hamiltonian -- 3.8 The
Hamiltonian Principle of Stationary Action -- Problems -- 4. Rigid Bodies -- 4.1 The Kinematics of the Rigid Body -- 4.2 The Inertia Tensor and the Kinetic Energy of a Rigid Body -- 4.3 The Angular Momentum of a Rigid Body, Euler’s
Equations -- 4.4 The Equations of Motion for the Eulerian Angles -- Problems -- 5. Motion in a Noninertial System of Reference -- 5.1 Fictitious Forces in Noninertial Systems -- 5.2 Foucault’s Pendulum -- 6. Linear Oscillations -- 6.1
Linear Approximations About a Point of Equilibrium -- 6.2 A Few General Remarks About Linear Differential Equations -- 6.3 Homogeneous Linear Systems with One Degree of Freedom and Constant Coefficients -- 6.4 Homogeneous Linear
Systems with n Degrees of Freedom and Constant Coefficients -- 6.5 The Response of Linear Systems to External Forces -- Problems -- 7. Classical Statistical Mechanics -- 7.1 Thermodynamic Systems and Distribution Functions -- 7.2
Entropy -- 7.3 Temperature, Pressure, and Chemical Potential -- 7.4 The Gibbs Equation and the Forms of Energy Exchange -- 7.5 The Canonical Ensemble and the Free Energy -- 7.6 Thermodynamic Potentials -- 7.7 Material Constants -- 7.8
Changes of State -- 7.9 The Transformation of Heat into Work, the Carnot Efficiency -- 7.10 The Laws of Thermodynamics -- 7.11 The Phenomenological Basis of Thermodynamics -- 7.12 Equilibrium and Stability Conditions -- Problems -- 8.
Applications of Thermodynamics -- 8.1 Phase Transformations and Phase Diagrams -- 8.2 The Latent Heat of Phase Transitions -- 8.3 Solutions -- 8.4 Henry’s Law, Osmosis -- 8.5 Phase Transitions in Solutions -- Problem -- 9. Elements of
Fluid Mechanics -- 9.1 A Few Introductory Remarks About Fluid Mechanics -- 9.2 The General Balance Equation -- 9.3 Particular Balance Equations -- 9.4 Entropy Production, Generalized Forces, and Fluids -- 9.5 The Differential Equations
of Fluid Mechanics -- 9.6 A Few Elementary Applications of the Navier-Stokes Equations -- Problem -- 10. The Most Important Linear Partial Differential Equations of Physics -- 10.1 General Considerations -- 10.2 Solutions of the Wave
Equation -- 10.3 Boundary Value Problems -- 10.4 The Helmholtz Equation in Spherical Coordinates, Spherical Harmonics, and Bessel Functions -- Problems -- 11. Electrostatics -- 11.1 The Basic Equations of Electrostatics and Their First
Consequences -- 11.2 Boundary Value Problems in Electrostatics, Green’s Functions -- 11.3 The Calculation of Green’s Functions, the Method of Images -- 11.4 The Calculation of Green’s Functions, Expansion in Spherical Harmonics -- 11.5
Localized Charge Distributions, the Multipole Expansion -- 11.6 Electrostatic Potential Energy -- Problems -- 12. Moving Charges, Magnetostatics -- 12.1 The Biot-Savart Law, the Fundamental Equations of Magnetostatics -- 12.2 Localized
Current Distributions -- 13. Time Dependent Electromagnetic Fields -- 13.1 Maxwell’s Equations -- 13.2 Potentials and Gauge Transformations -- 13.3 Electromagnetic Waves in a Vacuum, the Polarization of Transverse Waves -- 13.4
Electromagnetic Waves, the Influence of Sources -- 13.5 The Energy of the Electromagnetic Field -- 13.6 The Momentum of the Electromagnetic Field -- 14. Elements of the Electrodynamics of Continuous Media -- 14.1 The Macroscopic
Maxwell Equations -- 14.2 Electrostatic Fields in Continuous Media -- 14.3 Magnetostatic Fields in Continuous Media -- 14.4 Plane Waves in Matter, Wave Packets -- 14.5 Reflection and Refraction at Plane Boundary Surfaces -- Appendices
-- A. The ?-Function -- B. Conic Sections -- C. Tensors -- D. Fourier Series and Fourier Integrals -- D.1 Fourier Series -- D.2 Fourier Integrals and Fourier Transforms -- E. Distributions and Green’s Functions -- E.1 Distributions --
E.2 Green’s Functions -- F. Vector Analysis and Curvilinear Coordinates -- F.1 Vector Fields and Scalar Fields -- F.2 Line, Surface, and Volume Integrals -- F.3 Stokes’s Theorem -- F.4 Gauss’s Theorem -- F.5 Applications of the
Integral Theorems -- F.6 Curvilinear Coordinates -- Problems -- References
ISBN:9783642779848
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Call number:SPRINGER-1993-9783642612329:ONLINE Show nearby items on shelf
Title:Dynamics Reported Expositions in Dynamical Systems
Author(s):
Date:1993
Size:1 online resource (235 p.)
Note:10.1007/978-3-642-61232-9
Contents:Transversal Homoclinic Orbits near Elliptic Fixed Points of Area-preserving Diffeomorphisms of the Plane -- 1. Introduction -- 2. Elements of the Theory of Minimal States -- 3. A Priori Lipschitz Estimates for Minimal Orbits -- 4.
First Perturbation: Isolation and Hyperbolicity of Minimal Periodic Orbits -- 5. Second Perturbation: Nondegeneracy of Homoclinic Orbits -- 6. Application to Mather Sets -- 7. Special Classes of Diffeomorphisms -- References --
Asymptotic Periodicity of Markov and Related Operators -- 1. Basic Notions and Results -- 2. The Reduction Procedure -- 3. Asymptotic Periodicity of Constrictive Marcov Operators -- 4. Weakly Almost Periodic Operators -- 5. Asymptotic
Periodicity of Power Bounded Operators -- 6. Asymptotic Periodicity of Operators on Signed Measures -- References -- A Nekhoroshev-Like Theory of Classical Particle Channeling in Perfect Crystals -- I. Introduction -- 2. Background and
Outline of Main Results -- 3. Formulation of the Channeling Problem -- 4. Construction of the Normal Forms -- 5. The Generalized Continuum Models -- 6. Concluding Remarks -- References -- The Adiabatic Invariant in Classical Mechanics
-- I The Classical Adiabatic Invariant Theory -- 1. Introduction -- 2. Action-Angle Variables -- 3. Perturbation Theory -- 4. The Adiabatic Invariant -- 5. Explicit Approach to Action-Angle Variables -- 6. Extension of Perturbation
Theory to the Case of Unbounded Period -- II Transition Through a Critical Curce -- 1. Introduction -- 2. Neighborhood of an Homoclinic Orbit -- 3. The Autonomous Problem Close to the Equilibrium -- 4. The Autonomous Problem Close to
the Homoclinic Orbit -- 5. Traverse from Apex to Apex -- 6. Probability of Capture -- 7. Time of Transit -- 8. Change in the Invariant -- III The Paradigms -- 1. Introduction -- 2. The Pendulum -- 3. The Second Fundamental Model -- 4.
The Colombo’s Top -- 5. Dissipative Forces -- IV Applications -- 1. Introduction -- 2. Passage Through Resonance of a Forced Anharmonic Oscillator -- 3. Particle Motion in a Slowly Modulated Wave -- 4. The Magnetic Bottle -- 5.
Orbit-Orbit Resonances in the Solar System -- 6. Spin-Orbit Resonance in the Solar System -- Appendix 1: Variational Equations -- Appendix 2: Fixing the Unstable Equilibrium and the Time Scale. -- Appendix 3: Mean Value of Ri(?i, Ji,
?) 1?i?2 -- Appendix 4: Mean Value of R3 (?3, J3, ?) -- Appendix 5: Estimation of the Trajectory Close to the Equilibrium. -- Appendix 6: Computation of the True Time of Transit -- Appendix 7: The Diffusion Parameter in Non-Symmetric
Cases -- Appendix 8: Remarks on the Paper “On the Generalization of a Theorem of A. Liapounoff”, by J. Moser (Comm. P. Appl. Math. 9, 257-271, 1958) -- References -- List of Contributors
ISBN:9783642612329
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Series:Dynamics Reported, Expositions in Dynamical Systems: 2
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Probabilities , Physics , Mathematics , Analysis , Probability Theory and Stochastic Processes , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1993-9781461203858:ONLINE Show nearby items on shelf
Title:Infinite Dimensional Morse Theory and Multiple Solution Problems
Author(s): Kung-ching Chang
Date:1993
Size:1 online resource (313 p.)
Note:10.1007/978-1-4612-0385-8
Contents:I: Infinite Dimensional Morse Theory -- 1. A Review of Algebraic Topology -- 2. A Review of the Banach-Finsler Manifold -- 3. Pseudo Gradient Vector Field and the Deformation Theorems -- 4. Critical Groups and Morse Type Numbers -- 5.
Gromoll-Meyer Theory -- 6. Extensions of Morse Theory -- 7. Equivariant Morse Theory -- II: Critical Point Theory -- 1. Topological Link -- 2. Morse Indices of Minimax Critical Points -- 3. Connections with Other Theories -- 4.
Invariant Functional -- 5. Some Abstract Critical Point Theorems -- 6. Perturbation Theory -- III: Applications to Semilinear Elliptic Boundary Value Problems -- 1. Preliminaries -- 2. Superlinear Problems -- 3. Asymptotically Linear
Problems -- 4. Bounded Nonlinearities -- IV: Multiple Periodic Solutions of Hamiltonian Systems -- 1. Asymptotically Linear Systems -- 2. Reductions and Periodic Nonlinearities -- 3. Singular Potentials -- 4. The Multiple Pendulum
Equation -- 5. Some Results on Arnold Conjectures -- V: Applications to Harmonic Maps and Minimal Surfaces -- 1. Harmonic Maps and the Heat Flow -- 2. The Morse Inequalities -- 3. Morse Decomposition -- 4. The Existence and
Multiplicity for Harmonic Maps -- 5. The Plateau Problem for Minimal Surfaces -- Appendix: Witten’s Proof of the Morse Inequalities -- 1. A Review of Hodge Theory -- 2. The Witten Complex -- 3. Weak Morse Inequalities -- 4. Morse
Inequalities -- References -- Index of Notation
ISBN:9781461203858
Series:eBooks
Series:SpringerLink (Online service)
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Series:Progress in Nonlinear Differential Equations and Their Applications : 6
Keywords: Mathematics , Calculus of variations , Algebraic topology , Mathematics , Calculus of Variations and Optimal Control Optimization , Algebraic Topology
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Call number:SPRINGER-1992-9781475743524:ONLINE Show nearby items on shelf
Title:The Transition to Chaos In Conservative Classical Systems: Quantum Manifestations
Author(s): L. E Reichl
Date:1992
Size:1 online resource (551 p.)
Note:10.1007/978-1-4757-4352-4
Contents:1. Overview -- I Classical Systems -- 2. Fundamental Concepts -- 3. Area Preserving Maps -- 4. Global Properties -- II Quantum Systems -- 5. Quantum Integrability -- 6. Random Matrix Theory -- 7. Observed Spectra -- 8. Semi-Classical
Theory -- 9. Driven Systems -- III Stochastic Systems -- 10. Stochastic Systems -- IV Appendices -- A. Classical Mechanics -- A.1 Newton’s Equations -- A.2 Lagrange’s Equations -- A.3 Hamilton’s Equations -- A.4 The Poisson Bracket --
A.5 Phase Space Volume Conservation -- A.6 Action-Angle Variables -- A.7 Hamilton’s Principle Function -- A.8 References -- B. Simple Models -- B.1 The Pendulum -- B.2 Double Well Potential -- B.3 Infinite Square Well Potential -- B.4
One-Dimensional Hydrogen -- C.Renormalization Integral -- C.3 References -- D.The Moyal Bracket -- D.1 The Wigner Function -- D.2 Ordering of Operators -- D.3 Moyal Bracket -- D.4 References -- E. SU(3) -- E.1 Special Unitary Groups --
E.2 References -- F.Space-Time Symmetries -- F.1 Linear and Antilinear Operators -- F.2 Infinitesimal Transformations -- F.3 Discrete Transformations -- F.4 References -- G. GOE Spectral Statistics -- G.5 References -- H. COE Spectral
Statistics -- H.4 References -- I. Lloyd’s Model -- L.1 Localization Length -- L.2 References -- J. Hydrogen in Parabolic Coordinates -- J.1 The Schrodinger Equation -- J.2 One-dimensional Hydrogen -- J.3 References -- Author Index
ISBN:9781475743524
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Physics , Quantum physics , Quantum computers , Spintronics , Statistical physics , Dynamical systems , Physics , Statistical Physics, Dynamical Systems and Complexity , Quantum Information Technology, Spintronics , Quantum Physics
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Call number:SPRINGER-1991-9783540474180:ONLINE Show nearby items on shelf
Title:Delay Differential Equations and Dynamical Systems Proceedings of a Conference in honor of Kenneth Cooke held in Claremont, California, Jan. 13–16, 1990
Author(s):
Date:1991
Size:1 online resource (256 p.)
Note:10.1007/BFb0083474
Contents:A survey of differential equations with piecewise continuous arguments -- Dynamics and delays -- A brief survey of persistence in dynamical systems -- Periodic orbits of planar polynomial Liénard systems with a small parameter -- Hopf
bifurcation in quasilinear reaction-diffusion systems -- Monotone semi-flows which have a monotone first integral -- The coincidence degree of some functional differential operators in spaces of periodic functions and related
continuation theorems -- On the stability of discrete equations and ordinary differential equations -- Systems of set-valued equations in Banach spaces -- Abstract volterra equations and weak topologies -- Semigroups and renewal
equations on dual Banach spaces with applications to population dynamics -- Estimates for spatio-temporally dependent reaction diffusion systems -- The mountain circle theorem -- Extensions of an algorithm for the analysis of
nongeneric Hopf bifurcations, with applications to delay-difference equations -- The forced spherical pendulum does have forced oscillations -- Radial bounds for Schrödinger operators in euclidean domains -- Jumping nonlinearity for
2nd order ODE with positive forcing -- Moment conditions for a Volterra integral equation in a Banach space -- Asymptotic behaviors of solutions of a system of linear ordinary differential equations as t?? -- Implicit differential
equations which are not solvable for the highest derivative -- A stability analysis for a class of differential-delay equations having time-varying delay -- On an interval map associated with a delay logistic equation with
discontinuous delays
ISBN:9783540474180
Series:eBooks
Series:SpringerLink (Online service)
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Series:Lecture Notes in Mathematics: 1475
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Biomathematics , Mathematics , Analysis , Mathematical and Computational Biology
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Call number:SPRINGER-1991-9781475704358:ONLINE Show nearby items on shelf
Title:Asymptotics beyond All Orders
Author(s):
Date:1991
Size:1 online resource (408p p.)
Note:10.1007/978-1-4757-0435-8
Contents:Asymptotology and Borel Summation -- Asymptotics, Superasymptotics, Hyperasymptotics -- Computation of Transcendental Effects in Growth Problems: Linear Solvability Conditions and Nonlinear Methods- The Example of the Geometric Model
-- The Geometric Model of Crystal Growth -- The Geometric Model of Crystal Growth: An Overview -- Numerical Analysis of the Geometric Model for Dendritic Growth of Crystals -- Dendritic Crystal Growth -- Dendritic Crystal
Growth-Overview -- An Experimental Assessment of Continuum Models of Dendritic Growth -- A New Formulation for Dendritic Crystal Growth in Two Dimensions -- Directional Solidification of Solids -- Directional Growth of Dilute Mixtures
and Lamellar Eutectics -- A Flat Interface and Its Unfolding Bifurcations -- Flow in a Hele-Shaw Cell (Also known as VISCOUS FINGERING) -- Viscous Displacement in a Hele-Shaw Cell -- Saffman-Taylor Viscous Fingering in a Wedge --
Saffman-Taylor Problem in a Sector Geometry -- The Rapidly Forced Pendulum -- Exponentially Small Estimate for Separatrix Splittings -- Exponentially Small Phenomena in the Rapidly Forced Pendulum -- Proof of An Asymptotic Symmetry of
the Rapidly Forced Pendulum -- Ordinary Differential Equations -- Exponentially Small Oscillations in the Solution of an Ordinary Differential Equation -- Singular Perturbations of Solitons -- Reflection Coefficient Beyond All Orders
for Singular Problems -- Laminar Flow in a Porous Channel -- Existence and Stability of Particle Channeling in Crystals on Time-Scales Beyond All Orders -- Solitary Water Waves in the Presence of Small Surface Tension --
Gravity-Capillary Free Surface Flows -- Solitary Waves With Ripples Beyond All Orders -- Generalized Solitary Waves in a Stratified Fluid -- Problems in Optics -- Bending Losses in Optical Fibers -- Exponential Asymptotics and Spectral
Theory for Curved Optical Waveguides -- Solitary Waves in Self-Induced Transparency -- Potpourri -- Exponential Asymptotics for Partial Differential Equations -- Problems of Existence of Nontopological Solitons (Breathers) for
Nonlinear Klein-Gordon Equations -- Exponentially Small Residues Near Analytic Invariant Circles -- Asymptotics of Partial Differential and the Renormalization Group
ISBN:9781475704358
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series B: Physics: 284
Keywords: Physics , Physics , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1991-9781468459616:ONLINE Show nearby items on shelf
Title:Microscopic Aspects of Nonlinearity in Condensed Matter
Author(s):
Date:1991
Size:1 online resource (374 p.)
Note:10.1007/978-1-4684-5961-6
Contents:I. Complexity and Chaos -- Space Time Complexity in Quantum Optics -- Critical Phenomena in Hamiltonian Chaos -- Statistical Properties of the Transition to Spatiotemporal Chaos -- Time Evolution of Random Cellular Patterns -- Defects
and Order to Disorder Transition in Non-Equilibrium Structures -- From Chaos to Quasicrystals -- A Model of a Catalytic Reaction with Local Interactions -- Chaos in the Driven Damped Pendulum Studied by a Non-Equilibrium — to —
Equilibrium Mapping -- II. Coherent Structures -- Bipolaronic Charge Density Waves -- Polarons in Quasi-One-Dimensional Materials -- Solitons in Charge Density Wave Crystals -- Hydrodynamics of Classical and Quantum Liquid with Free
Surface -- Collective Transport in Charge and Spin Density Waves -- Propagating Compression Waves in a Damped ac-Driven Chain of Kinks -- Solitons in Quantum Spin Chains -- Dynamic Maps and Attractor Phase-Structures in Randomly Dilute
Neural Networks -- Solitons and Twistons in Conducting Polymers -- On the Motion of Vortex Pairs in the Anisotropic Heisenberg Model -- III. Physics of Quantum Devices -- Oscillations Due to Many-Body Effects in Resonant Tunneling --
Computer Simulation of Tunneling in Atomic-Size Devices -- Quantum Ballistic Transport -- Few Remarks about Small Capacitance Josephson Junctions -- Dynamics of Tunneling Systems in Metals -- Analytical Dynamics of Modulated Systems --
Study of the Continuous Spectrum of Semiconductor Heterostructures -- IV. Field Theory and Statistical Mechanics -- Raman Scattering of Light by Electrons in Superconductors with a Small Correlation Length -- Quantum Solitons on
Quantum Chaos: Coherent Structures, Anyons and Statistical Mechanics -- Stark Effect for Difference Schrödinger Operator -- Double Peak Structure in the Density of States of a Kondo Lattice -- Low Temperature Analysis of Microemulsion
Model -- Quantum Monte Carlo Computation of Static and Time-Dependent Thermodynamic Properties of Lennard-Jones Crystals -- Exact Free Energy of a KSSH Model in d-Dimensions -- Nonlinear Properties of the BCS Gap Equation -- Results of
Mode Coupling Theory for the Paramagnetic and Critical Spin Fluctuations in Heisenberg Magnets -- Quantum Thermodynamics of an Anharmonic N-N Chain -- Spectrum of the Fermi-Linearized Extended Hubbard Model on a Dimer -- Localized
Excitations in 1-D Peierls-Hubbard Models of Polyacetylene and MX Chains -- Microscopic Spin Wave Study of the Co/Cu(100) Epitaxial Monolayer -- Dynamic Scaling in the Two-Dimensional Heisenberg Antiferromagnet -- Contributors
ISBN:9781468459616
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series B: Physics: 264
Keywords: Physics , Condensed matter , Solid state physics , Crystallography , Spectroscopy , Microscopy , Physics , Solid State Physics , Spectroscopy and Microscopy , Condensed Matter Physics , Crystallography , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1991-9781461390831:ONLINE Show nearby items on shelf
Title:Selected Scientific Papers of E.U. Condon
Author(s):
Date:1991
Size:1 online resource (634 p.)
Note:10.1007/978-1-4613-9083-1
Contents:“A Theory of Intensity Distribution in Band Systems” -- “Mean Free Paths in a Gas Whose Molecules are Attracting Rigid Elastic Spheres” -- “Coupling of Electronic and Nuclear Motions in Diatomic Molecules” -- “Wave Mechanics and the
Normal State of the Hydrogen Molecule” -- “The Zeeman Effect of the Symmetrical Top According to Wave Mechanics” -- “The Physical Pendulum in Quantum Mechanics” -- “Wave Mechanics and Radioactive Disintegration” -- “Nuclear Motions
Associated With Electron Transitions in Diatomic Molecules -- “Quantum Mechanics of Momentum Space” -- “The Critical Potentials of Molecular Hydrogen” -- “Quantum Mechanics and Radioactive Disintegration” -- “Remarks on Uncertainty
Principles” -- “An Interpretation of Pauli’s Exclusion Principle” -- “Predissociation of Diatomic Molecules from High Rotational States” -- “Singlet-Triplet Interval Ratios in sp, sd, sf, p5s and d9s Configurations” -- “The Theory of
Complex Spectra” -- “The Theory of Complex Spectra II” -- “Quantum Mechanics of Collision Processes” -- “The Spin of the Neutron” -- “Notes on the Stark Effect” -- “Relative Multiplet Transition Probabilities from Spectroscopic
Stability” -- “The Energy Distribution of Neutrons Slowed by Elastic Impacts” -- “Note on Electron-Neutron Interaction” -- “The Photoelectric Effect of the Deuteron” -- “On Nuclear Forces” -- “Theory of Scattering of Protons by
Protons” -- “Vibration Spectra and Molecular Structure” -- “Ionization and Dissociation of Molecules by Electron Impact” -- “Theories of Optical Rotatory Power” -- “One-Electron Rotatory Power” -- “The Theory of Nuclear Structure ” --
“Note on the External Photoelectric Effect of Semi-Conductors” -- “Electronic Generation of Electromagnetic Oscillations” -- “Forced Oscillations in Cavity Resonators” -- “Principles of Micro-Wave Radio” -- “Detection of Metastable
Ions With the Mass Spectrometer” -- “Metastable Ions Formed by Electron Impact in Hydrocarbon Gases” -- “The Franck-Condon Principle and Related Topics” -- “Investigation of the Attractive Forces Between the Persistent Currents in a
Superconductor and the Lattice” -- “Superconductivity and the Bohr Magneton” -- “Physics of the Glassy State I: Constitution and Structure” -- “Physics of the Glassy State II: The Transformation Range” -- “Physics of the Glassy State
III: Strength of Glass” -- “Physics of the Glassy State IV: Radiation-Sensitive Glasses” -- “Intensity-Dependent Absorption of Light” -- “Spin-Orbit Interaction In Self-Consistent Fields” -- “Self-Consistent Field Calculations of the
1s22s22p3p Configuration in the Carbon Isoelectronic Sequence”
ISBN:9781461390831
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Physics , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1991-9781461244387:ONLINE Show nearby items on shelf
Title:Algebraic Methods in Nonlinear Perturbation Theory
Author(s): V. N Bogaevski
Date:1991
Size:1 online resource (266 p.)
Note:10.1007/978-1-4612-4438-7
Contents:1 Matrix Perturbation Theory -- 1.1 Perturbation Theory for a Linear Operator -- 1.2 Main Formulas -- 1.3 Diagonal Leading Operator -- 1.4 General Case. The Normal Form of the Matrix of the Operator M -- 1.5 Nilpotent Leading
Operator. The Reconstruction Problem -- 2 Systems of Ordinary Differential Equations with a Small Parameter -- 2.1 Passage to the Linear Problem. Change of Variables Operator -- 2.2 General Formulation of the Perturbation Theory
Problem -- 2.3 Canonical Form of First Order Operator X0 -- 2.4 An Algebraic Formulation of the Perturbation Theory Problem -- 2.5 The Normal Form of an Operator with Respect to a Nilpotent X0. The Reconstruction Problem -- 2.6 A
Connection with N. N. Bogolyubov’s Ideas -- 2.7 The Motion Near the Stationary Manifold -- 2.8 Hamiltonian Systems -- 3 Examples -- 3.1 Example: The Pendulum of Variable Length -- 3.2 Example: A Second Order Linear Equation -- 3.3
Example: P. L. Kapitsa’s Problem: A Pendulum Suspended from an Oscillating Point -- 3.4 Example: Van der Pol Oscillator with Small Damping -- 3.5 Example: Duffing Oscillator -- 3.6 Example: Drift of a Charged Particle in an
Electromagnetic Field -- 3.7 Example: Nonlinear System: Example of an Extension of an Operator -- 3.8 Example: Nonlinear Oscillator with Small Mass and Damping -- 3.9 Example: A Nonlinear Equation Boundary-Layer-Type Problem -- 3.10
Example: Resonances. Particular Solutions -- 3.11 Example: The Mathieu Equation -- 3.12 Example: Oscillating Spring -- 3.13 Example: Periodic Solution (Hopf’s Theorem) -- 3.14 Example: Bifurcation -- 3.15 Example: Problem of a Periodic
Solution of an Autonomous System -- 3.16 Example: One Problem on Eigenvalues -- 3.17 Example: A. M. Lyapunov’s Problem -- 3.18 Example: Illustration for Section 2.5 -- 3.19 Example: Fast Rotation of a Solid Body -- 3.20 Example: The
Langer Problem ([28]) -- 4 Reconstruction -- 4.1 Introduction -- 4.2 New Leading Operators in the First Type Problems -- 4.3 The Second Type Problems. “Algebraic” Method of Reconstruction -- 4.4 “Trajectory” Method of Reconstruction --
4.5 Matching -- 4.6 Example: Illustration for 4.5 -- 4.7 Example: Appearance of a New Singularity -- 4.8 Example: Passing Through a Resonance -- 4.9 Example: WKB-Type Problem -- 4.10 Example: Lighthill’s Problem [38] -- 4.11 Example:
Singularity of Coefficients of an Operator -- 4.12 Example: A Second Order Linear Equation -- 4.13 Example: Van der Pol Oscillator (Relaxation Oscillations) -- 5 Equations in Partial Derivatives -- 5.1 Functional Derivatives -- 5.2
Equations with Partial Derivatives Whose Principal Part Is an Ordinary Differential Equation -- 5.3 Partial Derivatives. On Whitham Method -- 5.4 Geometric Optics and the Maslov Method -- 5.5 Problem (Whitham) -- 5.6 Problem.
Diffraction of Short Waves on a Circle (Semishade) -- 5.7 One-Dimensional Shock Wave -- References
ISBN:9781461244387
Series:eBooks
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Series:Applied Mathematical Sciences: 88
Keywords: Physics , Physics , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1990-9789400919242:ONLINE Show nearby items on shelf
Title:Crosslinking and Scission in Polymers
Author(s):
Date:1990
Size:1 online resource (254 p.)
Note:10.1007/978-94-009-1924-2
Contents:Molecular Weight Changes and Network Formation by Scission and Crosslinking -- Main Chain Scission of Polymers -- Crosslinking -- Random Crosslinking -- Enhanced Crosslinking -- Other Forms of Crosslinking -- Combined Crosslinking and
Scission -- Antioxidants -- Fillers -- Crosslinking of Polymers in Solution -- References -- High Energy Radiation-and UV Light-Induced Crosslinking and Chain Scission -- Importance of Radiation-Induced Crosslinking and Main-Chain
Scission in Linear Polymers -- Types of Radiation and Radiation Sources -- Absorption of Radiation -- General Aspects Concerning XL and CS in Linear Polymers -- Random and Specific Site Attacks -- Detection of XL and CS -- Simultaneous
XL and CS Mechanisms -- Ion Beam-Induced Radiation Effects in Linear Polymers -- X-Ray-Induced Radiation Effects in Linear Polymers -- References -- Main-Chain Scission of Linear Polymers as Studied by Pulse Radiolysis and Flash
Photolysis -- Studies on the Dynamics of Macromolecules in Solution -- Studies Concerning Intramolecular Interactions -- Studies Concerning Preferential Solvation -- Studies Concerning the Dynamics of Polynucleotides -- Detachment of
DNA Double Strands -- Lifetime of Salt Bridges -- Concluding Remarks -- References -- Carbon 13 NMR of Gamma-Irradiated Polyethylenes -- Carbon 13 NMR of Polyethylene -- Severe Melt Processing of Polyethylene -- Irradiation of
Polyethylene-Solution NMR -- Carbon 13 NMR of n-Hexatriacontane -- Carbon 13 NMR Spectra of NBS 1475 before and after 60Co Gamma Irradiation -- Carbon 13 NMR Spectra of Marlex 6003 before and after 60Co Gamma Irradiation -- Irradiation
of Polyethylene-NMR of the Solid State -- Summary -- Acknowledgements -- References -- The Use of Pulsed NMR to Determine Network Formation by Crosslinking and Entanglement -- References -- Methods for Studying the Effects of
High-Energy Irradiation on the Mechanical and Electric Properties of Polymers -- Mechanical Properties -- Modulus and Compliance -- Ultimate Mechanical Properties -- Recovery -- Electrical Properties -- Multiple Transitions and
Molecular Mobilities -- Physical Ageing -- Experimental Technique and Examples -- Time-Domain Techniques -- Frequency-Domain Methods -- Temperature-Domain Methods -- Thermally Stimulated Electrical Current-Fluctuations -- Conclusions
-- References -- Thermally Stimulated Discharge and Dielectric Measurements of Cure in Resins and Gelled Materials -- Influence of Gelation of Polar Media -- Interfacial Regions in Copolymer Systems -- Phase Separation Processes --
Conclusion -- Recommended Reading -- Ultrasonic and Viscoelastic Studies of Chain Entanglement in Polymer Solutions -- Dynamic Properties of Isolated Polymer Chains in Solution -- Ultrasonic Relaxation Measurements on Polymer Solutions
-- Viscoelastic Processes -- Ultrasonic Studies of Entangled Polymer Systems -- Phase Separation in SBS Solutions -- Ultrasonic Studies of Network Formation in Rigid Networks -- Recommended Reading -- Specific Papers -- Determination
of Cross-Link Density in Amorphous Networks by Stress-Strain-Swelling Experiments -- Molecular Constitution of a Network -- Macroscopic Deformation -- Microscopic Deformation -- The Elastic Free Energy of the Single Chain and the
Network -- The Affine Network Model -- The Phantom Network Model -- Stress-Strain Relations for the Phantom and Affine Network Models in Simple Tension -- The Constrained Junction Theory of Networks -- Determination of the Degree of
Cross-Linking by Equilibrium Swelling Measurements -- Numerical Example of Cross-Link Density Calculation -- Deviations From Ideal Network Behavior -- Conclusions and Discussion -- References -- Formation and Properties of
Thermosetting and High Tg Systems -- The Time-Temperature-Transformation (TTT) Isothermal Cure Diagram -- Anomalous Properties Versus Extent of Cure -- The Continuous Heating Time-Temperature-Transformation (CHT) Cure Diagram -- Linear
Polymerization and the TTT Diagram -- Solvent-Based Reactive Systems and the TTT Diagram -- The Glass Transition Temperature, Tg, as a Characterizing Parameter for Reactive Systems -- Torsion Pendulum (TP) and Torsional Braid Analysis
(TBA): Techniques for Characterizing the Cure and Properties of Thermosetting Systems -- TP/TBA-Modes -- Instrumentation -- Applications -- Acknowledgement -- References -- Dynamic Shear Compliance of Polymer Melts and Networks -- The
Master Curve and its Analysis -- The Meander Superstructure and its Shear Deformation Modes -- Viscoelasticity of Polymer Fractions and Binary Blends in the Melt -- The Shear Compliance of Polymer Networks in Dependence on Crosslink
Density -- The Glass Relaxation Process -- The Shearband Process -- The Effect of Filler on the Dynamic Shear Compliance -- Conclusion -- Acknowledgement -- References -- Paraelasticity of Organic Colloid Systems -- Paraelastic
Relaxation Strength -- Clay Organic Complexes -- Oriented Stacks of Lipid Lamellae -- The n-alkanes in the Waxy State -- Polymer Melts and Networks in the Rubbery State (plateau compliance) -- Conclusion -- Acknowledgement --
References -- The Use of Size Exclusion Chromatography in the Studies of Crosslinking and Chain Scission in Polymers -- Chain Scission -- Crosslinking -- References
ISBN:9789400919242
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 292
Keywords: Chemistry , Organic chemistry , Polymers , Chemical engineering , Materials science , Chemistry , Polymer Sciences , Organic Chemistry , Characterization and Evaluation of Materials , Industrial Chemistry/Chemical Engineering
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Call number:SPRINGER-1990-9783642753084:ONLINE Show nearby items on shelf
Title:Nonlinear Waves 3 Physics and Astrophysics Proceedings of the Gorky School 1989
Author(s):
Date:1990
Size:1 online resource (325 p.)
Note:10.1007/978-3-642-75308-4
Contents:I Physics and Astrophysics -- Magnetic Intermittency (With 2 Figures) -- The Large Scale Structure of the Universe, the Burgers Equation and Cellular Structures (With 3 Figures) -- Generation of Observation Turbulence Spectrum and
Solitary Dipole Vortices in Rotating Gravitating Systems (With 4 Figures) -- Nonlinear Dynamics of Particle-Like Solutions of Inhomogeneous Fields (With 18 Figures) -- The Turbulent Alfvén Layer (With 2 Figures) -- Frequency
Selfconversion and Reflectionless Propagation of a Powerful Electromagnetic Pulse in an Ionized Medium (With 1 Figure) -- Nonlinear Stability of an Ideal Plasma -- Dynamics of a High-Frequency Streamer (With 3 Figures) -- The
Propagation of the Front of Parametrically Excited Capillary Ripples (With 4 Figures) -- Nonlinear Surface and Internal Waves in Rotating Fluids (With 12 Figures) -- A Note on the Mechanism of the Resonant Nonlinear Instability in
Boundary Layers -- Stability of Quasi-Two-Dimensional Shear Flows and Jets in Rotating Fluids (With 5 Figures) -- On One Solution of the Nonlinear Problem of Electrodynamics (With 2 Figures) -- II Quantum Physics, Physics of the Solid
State -- Phenomenological Quantum Electrodynamics of Active Media and Superradiance (With 6 Figures) -- Light Amplification by a Three-Level Atomic System Without Population Inversion (With 2 Figures) -- On the Nonlinear Critical State
Dynamics in Type II Superconductors -- Nonlinear Dynamics of Electrons in Metals (With 1 Figure) -- The Outlook for Solid-State Lasers in the Laser Market (With 1 Figure) -- Autowave Mechanism in Low-Temperature Chemistry of Solids
(With 6 Figures) -- Coherent Amplification of Weak Pulses -- Nonlinear Dynamics and Kinetics of Magnons -- The Nonlinear Dynamics of Wave Systems with Spatio-Temporal Collapses (With 4 Figures) -- III Dynamical Chaos and
Self-Organization -- The Destiny of the Universality Hypothesis in the Theory of Developed Wave Turbulence -- Renormalization Chaos in Period Doubling Systems (With 10 Figures) -- On Resonances, Pendulum Equations, Limit Cycles and
Chaos (With 5 Figures) -- Synergetics. New Trends (With 7 Figures) -- Cellular Automata as Dynamical Systems -- An Approach to the Computation of the Topological Entropy (With 4 Figures) -- Stochastic Dynamics of Pattern Formation in
Discrete Systems (With 4 Figures) -- Chaos and Period Adding Sequence in a Microwave Oscillator with a Ferrite Resonator (With 3 Figures) -- Index of Contributors
ISBN:9783642753084
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Geophysics , Quantum physics , Observations, Astronomical , Astronomy , Astrophysics , Atoms , Statistical physics , Dynamical systems , Physics , Astronomy, Observations and Techniques , Astrophysics and Astroparticles , Geophysics/Geodesy , Statistical Physics, Dynamical Systems and Complexity , Atomic, Molecular, Optical and Plasma Physics , Quantum Physics
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Call number:SPRINGER-1990-9783642749223:ONLINE Show nearby items on shelf
Title:Classical Dynamics and Its Quantum Analogues
Author(s): David Park
Date:1990
Edition:Second Enlarged and Updated Edition
Size:1 online resource (333 p.)
Note:10.1007/978-3-642-74922-3
Contents:1. Rays of Light -- 1.1 Waves, Rays, and Orbits -- 1.2 Phase Velocity and Group Velocity -- 1.3 Dynamics of a Wave Packet -- 1.4 Fermat’s Principle of Least Time -- 1.5 Interlude on the Calculus of Variations -- 1.6 Optics in a
Gravitational Field -- 2. Orbits of Particles -- 2.1 Ehrenfest’s Theorems -- 2.2 Oscillators and Pendulums -- 2.3 Interlude on Elliptic Functions -- 2.4 Driven Oscillators -- 2.5 A Driven Anharmonic Oscillator -- 2.6 Quantized
Oscillators -- 2.7 Coherent States -- 3. Lagrangian Dynamics -- 3.1 Lagrange’s Equations -- 3.2 The Double Pendulum -- 3.3 Planets and Atoms -- 3.4 Orbital Oscillations and Stability -- 3.5 Orbital Motion: Vectorial Integrals and
Hyperbolic Orbits -- 3.6 Other Forces -- 3.7 Bohr Orbits and Quantum Mechanics: Degeneracy -- 3.8 The Principle of Maupertuis and Its Practical Utility -- 4. N-Particle Systems -- 4.1 Center-of-Mass Theorems -- 4.2 Two-Particle Systems
-- 4.3 Vibrating Systems -- 4.4 Coupled Oscillators -- 4.5 The Virial Theorem -- 4.6 Hydrodynamics -- 5. Hamiltonian Dynamics -- 5.1 The Canonical Equations -- 5.2 Magnetic Forces -- 5.3 Canonical Transformations -- 5.4 Infinitesimal
Transformations -- 5.5 Generating Finite Transformations from Infinitesimal Ones -- 5.6 Deduction of New Integrals -- 5.7 Commutators and Poisson Brackets -- 5.8 Gauge Invariance -- 6. The Hamilton-Jacobi Theory -- 6.1 The
Hamilton-Jacobi Equation -- 6.2 Step-by-Step Integration of the Hamilton-Jacobi Equation -- 6.3 Interlude on Planetary Motion in General Relativity -- 6.4 Jacobi’s Generalization -- 6.5 Orbits and Integrals -- 6.6 “Chaos” -- 6.7
Coordinate Systems -- 6.8 Curvilinear Coordinates -- 6.9 Interlude on Classical Optics -- 7. Action and Phase -- 7.1 The Old Quantum Theory -- 7.2 Hydrogen Atom in the Old Quantum Theory -- 7.3 The Adiabatic Theorem -- 7.4 Connections
with Quantum Mechanics -- 7.5 Heisenberg’s Quantum Mechanics -- 7.6 Matter Waves -- 7.7 Schrödinger’s “Derivation” -- 7.8 Construction of a Wave Function -- 7.9 Phase Shifts in Dynamics -- 8. Theory of Perturbations -- 8.1 Secular and
Periodic Perturbations -- 8.2 Perturbations in Quantum Mechanics -- 8.3 Adiabatic Perturbations -- 8.4 Degenerate States -- 8.5 Quantum Perturbation Theory for Positive-Energy States -- 8.6 Action and Angle Variables -- 8.7 Canonical
Perturbation Theory -- 8.8 Newtonian Precession -- 9. The Motion of a Rigid Body -- 9.1 Angular Velocity and Momentum -- 9.2 The Inertia Tensor -- 9.3 Dynamics in a Rotating Coordinate System -- 9.4 Euler’s Equations -- 9.5 The
Precession of the Equinoxes -- 9.6 Quantum Mechanics of a Rigid Body -- 9.7 Spinors -- 9.8 Particles with Spin -- 10. Continuous Systems -- 10.1 Stretched Strings -- 10.2 Four Modes of Description -- 10.3 Example: A Plucked String --
10.4 Practical Use of Variation Principles -- 10.5 More Than One Dimension -- 10.6 Waves in Space -- 10.7 The Matter Field -- 10.8 Quantized Fields -- 10.9 The Mössbauer Effect -- 10.10 Classical and Quantum Descriptions of Nature --
References -- Notation
ISBN:9783642749223
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Physics , Quantum physics , Quantum computers , Spintronics , Physics , Quantum Physics , Quantum Information Technology, Spintronics
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Call number:SPRINGER-1989-9789400909052:ONLINE Show nearby items on shelf
Title:Geomagnetism and Palaeomagnetism
Author(s):
Date:1989
Size:1 online resource (380 p.)
Note:10.1007/978-94-009-0905-2
Contents:Section I. Geomagnetic Secular Variation back to 50 000 years BP -- A Spherical Cap Harmonic Model of the Crustal Magnetic Anomaly Field in Europe Observed by MAGSAT -- Geomagnetic Secular Variation -- Historical Secular Variation and
Geomagnetic Theory -- Changes in the Earth’s Rate of Rotation on an El Niño to Century Basis -- Geomagnetic Secular Variation in Britain During the Last 2000 Years -- Detailed Palaeomagnetic Record for the Last 6300 Years From Varved
Lake Deposits in Northern Sweden -- The Lac Du Bouchet Palaeomagnetic Record: Its Reliability and Some Inferences About the Character of Geomagnetic Secular Variations Through the Last 50000 Years -- Developments in Cave Sediment
Palaeomagnetism -- Evidence for Wave Propagation in the Holocene Palaeomagnetic Field -- Section II. Excursions -- Bruhnes Chron Geomagnetic Excursion Recorded During the Late Pleistocene, Albuquerque Volcanoes, New Mexico, U.S.A. --
Short Reversal of the Palaeomagnetic Field About 280 000 Years Ago at Long Valley, California -- Section III. Reversals: Observation and Modelling -- Magnetic Polarity Time Scales and Reversal Frequency -- Observations and Models of
Reversal Transition Fields -- A Phenomenological Model for Reversals of the Geomagnetic Field -- Deterministic Chaos, Geomagnetic Reversals, and the Spherical Pendulum -- Geomagnetic Polarity Reversals: Can Meteor Impacts Cause Spall
Disruption into the Outer Core -- Section IV. Origin and Analysis of Remanence -- Magnetic Bacteria in Lake Sediments -- Magnetization of Sediments and Depositional Environment -- Timing Between a Large Impact and a Geomagnetic
Reversal and the Depth of NRM Acquisition in Deep-Sea Sediments -- Tests of Magnetic Properties of New Zealand Pliocene Marine Mudstones -- Some Aspects of the Measurement of Magnetic Anisotropy -- The Magnetism of Ordinary Chondrites
and SNC Meteorites: Possible Implications for Ancient Solar System Magnetic Fields -- Section V. Geodynamo Theory -- Geodynamo Theory -- Long-Term Palaeofield Variations and the Geomagnetic Dynamo -- Compositional Convection and the
Earth’s Core -- Numerical Models in the Theory of Geomagnetism
ISBN:9789400909052
Series:eBooks
Series:SpringerLink (Online service)
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Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 261
Keywords: Earth sciences , Geophysics , Earth Sciences , Geophysics/Geodesy
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Call number:SPRINGER-1988-9789400930551:ONLINE Show nearby items on shelf
Title:Quantum Theories and Geometry
Author(s):
Date:1988
Size:1 online resource (191 p.)
Note:10.1007/978-94-009-3055-1
Contents:Schwinger terms and cyclic cohomology -- The *-exponential -- The quantum spherical pendulum -- Singletons as a basis for composite conformal quantum electrodynamics -- Some aspects of deformation theory and quantization -- Quantum
physics and gravitation -- The Schwartzian derivative and the conformal geometry of the Lorentz hyperboloid -- Deformations and geometric (KMS)—conditions -- Fundamental implications of irreversibility -- Harmonic 2-spheres
ISBN:9789400930551
Series:eBooks
Series:SpringerLink (Online service)
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Series:Mathematical Physics Studies, A Supplementary Series to Letters in Mathematical Physics : 10
Keywords: Physics , Group theory , Geometry , Physics , Theoretical, Mathematical and Computational Physics , Geometry , Group Theory and Generalizations
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Call number:SPRINGER-1988-9781461239420:ONLINE Show nearby items on shelf
Title:Tales of Physicists and Mathematicians
Author(s): Semyon Grigorevich Gindikin
Date:1988
Size:1 online resource (158 p.)
Note:10.1007/978-1-4612-3942-0
Contents:Ars Magna (The Great Art) -- Appendix: From De Vita Propria Liber (The Book of My Life) -- Two Tales of Galileo -- I. The Discovery of the Laws of Motion -- II. The Medicean Stars -- Appendix: Olaf Römer’s Conjecture -- Christiaan
Huygens, Pendulum Clocks, and a Curve “Not At All Considered by the Ancients” -- Appendix: Part Five of Horlogium Oscillatorium -- Blaise Pascal -- Prince of Mathematicians -- I. Gauss’ Debut -- II. The Golden Theorem -- III. Royal
Days -- Appendix: Construction Problems Leading to Cubic Equations
ISBN:9781461239420
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Physics , Popular works , Mathematics , History of Mathematical Sciences , Physics, general , Popular Science, general
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Call number:SPRINGER-1988-9781461210443:ONLINE Show nearby items on shelf
Title:Multiphase Averaging for Classical Systems With Applications to Adiabatic Theorems
Author(s): Pierre Lochak
Date:1988
Size:1 online resource (360 p.)
Note:10.1007/978-1-4612-1044-3
Contents:1 Introduction and Notation -- 1.1 Introduction -- 1.2 Notation -- 2 Ergodicity -- 2.1 Anosov’s result -- 2.2 Method of proof -- 2.3 Proof of Lemma 1 -- 2.4 Proof of Lemma 2 -- 3 On Frequency Systems and First Result for Two Frequency
Systems -- 3.1 One frequency introduction and first order estimates -- 3.2 Increasing the precision higher order results -- 3.3 Extending the time-scale geometry enters -- 3.4 Resonance a first encounter -- 3.5 Two frequency systems
Arnold’s result -- 3.6 Preliminary lemmas -- 3.7 Proof of Arnold’s theorem -- 4 Two Frequency Systems Neistadt’s Results -- 4.1 Outline of the problem and results -- 4.2 Decomposition of the domain and resonant normal forms -- 4.3
Passage through resonance: the pendulum model -- 4.4 Excluded initial conditions, maximal separation, average separation -- 4.5 Optimality of the results -- 4.6 The case of a one-dimensional base -- 5 N Frequency Systems Neistadt’s
Result Based on Anosov’s Method -- 5.1 Introduction and results -- 5.2 Proof of the theorem -- 5.3 Proof for the differentiable case -- 6 N Frequency Systems Neistadt’s Results Based on Kasuga’s Method -- 6.1 Statement of the theorems
-- 6.2 Proof of Theorem 1 -- 6.3 Optimality of the results of Theorem 1 -- 6.4 Optimality of the results of Theorem 2 -- 7 Hamiltonian Systems -- 7.1 General introduction -- 7.2 The KAM theorem -- 7.3 Nekhoroshev’s theorem introduction
and statement of the theorem -- 7.4 Analytic part of the proof -- 7.5 Geometric part and end of the proof -- 8 Adiabatic Theorems in One Dimension -- 8.1 Adiabatic invariance definition and examples -- 8.2 Adiabatic series -- 8.3 The
harmonic oscillator adiabatic invariance and parametric resonance -- 8.4 The harmonic oscillator drift of the action -- 8.5 Drift of the action for general systems -- 8.6 Perpetual stability of nonlinear periodic systems -- 9 The
Classical Adiabatic Theorems in Many Dimensions -- 9.1 Invariance of action, invariance of volume -- 9.2 An adiabatic theorem for integrable systems -- 9.3 The behavior of the angle variables -- 9.4 The ergodic adiabatic theorem -- 10
The Quantum Adiabatic Theorem -- 10.1 Statement and proof of the theorem -- 10.2 The analogy between classical and quantum theorems -- 10.3 Adiabatic behavior of the quantum phase -- 10.4 Classical angles and quantum phase -- 10.5
Non-communtativity of adiabatic and semiclassical limits -- Appendix 1 Fourier Series -- Appendix 2 Ergodicity -- Appendix 3 Resonance -- Appendix 4 Diophantine Approximations -- Appendix 5 Normal Forms -- Appendix 6 Generating
Functions -- Appendix 7 Lie Series -- Appendix 8 Hamiltonian Normal Forms -- Appendix 9 Steepness -- Bibliographical Notes
ISBN:9781461210443
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Mathematical Sciences: 72
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1987-9783034872416:ONLINE Show nearby items on shelf
Title:Bifurcation: Analysis, Algorithms, Applications Proceedings of the Conference at the University of Dortmund, August 18–22, 1986
Author(s):
Date:1987
Size:1 online resource (360 p.)
Note:10.1007/978-3-0348-7241-6
Contents:The effect of discretization on homoclinic orbits -- Bifurcation in elliptic systems -- Transition to asymmetric convection rolls -- Wave patterns in coupled stationary bifurcations with 0(2)-symmetry -- Determination of bifurcation
points and catastrophes for the Brusselator model with two parameters -- Numerical studies of bifurcation in reactiondiffusion models using pseudo-spectral and path-following methods -- A quick multiparameter test for periodic
solutions -- Codimension two bifurcations near an invariant n-torus -- Hopf bifurcation in the drilling process under regenerative cutting conditions -- Critical points of mixed fluids and their numerical treatment -- Bifurcation
theory in physics: Recent trends and problems -- An application of complex bifurcation to a problem in computer graphics -- Continuation of periodic solutions in parabolic partial differential equations -- Bifurcation in degenerate
directions -- On Cornu spirals. Disorder, selfsimilarity, and Jacobi’s ?3(?, ?) -- Optimization in bifurcation problems using a continuation method -- On the numerical study of bifurcation problems -- External forcing in a glycolytic
model -- Some remarks on the morphology of non-unique solutions in nonlinear elastostatics -- Lusternik-SGhnirelmann critical values and bifurcation problems -- Adaptive numerical Lyapunov-Schmidt-reduction -- Formation of periodic and
aperiodic waves in reaction-diffusion systems -- Steady axisymmetric Taylor vortex flows with free stagnation points of the poloidal flow -- Some remarks on the deflated block elimination method -- Nonlinear dynamic behavior and
buckling of shells of revolution -- The curious link chain -- On a moving-frame algorithm and the triangulation of equilibrium manifolds -- Numerical computation of origins for Hopf bifurcation in a two-parameter problem --
Bifurcations of the equilibrium of a spherical double pendulum at a multiple eigenvalue -- Multiple solutions of the semiconductor equations -- Delay as bifurcation parameter -- Bifurcation from the continuous spectrum in LP(?) --
Bifurcation problems in railway vehicle dynamics -- Bifurcation and post-bifurcation behaviour for elastic-plastic solids -- Symmetry-breaking at positive solutions of elliptic equations -- Averaging over angles with an application to
rótor dynamics
ISBN:9783034872416
Series:eBooks
Series:SpringerLink (Online service)
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Series:ISNM 79: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique : 79
Keywords: Science , Science , Science, general
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Call number:SPRINGER-1986-9789400946323:ONLINE Show nearby items on shelf
Title:Nonlinear Functional Analysis and Its Applications
Author(s):
Date:1986
Size:1 online resource (430 p.)
Note:10.1007/978-94-009-4632-3
Contents:Cohomological Methods in Non-Free G-Spaces with Applications to General Borsuk-Ulam Theorems and Critical Point Theorems for invariant Functionals -- on a Theorem of Anosov on Nielsen Numbers for Nilmanifolds -- Generalized
Topological Degree and Bifurcation -- Global Results on Continuation and Bifurcation for Equivariant Maps -- Existence and Multiplicity for Semi-Linear Equations by the Duality Method -- Special Problems involving Uniqueness and
Multiplicity in Hyperelasticity -- An index for Hamiltonian Systems with a Natural Order Structure -- G. Darbo’s Fixed Point Principle After 30 Years -- Best Approximation and Cones in Banach Spaces -- Invariant Manifold Theorems with
Applications -- Some Applications of the Leray-Schauder Alternative to Differential Equations -- Sequences of Iterates in Locally Convex Spaces -- Periodic Solutions of Hamiltonian Systems: The Case of the Singular Potential --
Oscillations Et Analyse Non Lineaire: Proprietes Des Pulsations Des Solutions Periodiques (Cycles) De Certaines Equation Differentielles Autonomes Non Lineaires. Application de la Theorie du Degre de Leray Schauder -- A Fixed Point
Theorem for Two Commuting Mappings -- Nonlinear Elliptic Problems involving Critical Sobolev Exponent in the Case of Symmetrical Domains -- Periodic Solutions of Pendulum Like Third Order Differential Equations -- Double Resonance at
the First and Second Eigenvalues for the Nonlinear Heat Equation -- Generalised Riemann Invariants -- Unbounded Perturbations of Forced Harmonic Oscillations at Resonance -- Minimizing the Number of Fixed Points -- Approximate Fixed
Points for Mappings in Banach Spaces -- Invariantly Complemented Subspaces and Groups with Fixed Point Property -- On a Certain Difference-Differential Equation -- Limit Cycles of Certain Polynomial Systems -- Convexity Structures and
Kannan Maps -- On Some Converses of Generalized Banach Contraction Principles -- Multiplicity Results for Superlinear Elliptic Equations -- A Note on Periodic Solutions of Heat Equation with a Superlinear Term -- Fixed Point Sets on
Pairs of Spaces -- Fixed Point Free Deformations on Compact Polyhedra -- Minimax Principles for a Class of Lower Semicontinuous Functions and Applications to Nonlinear Boundary Value Problems -- Fixed Point Theorems and Coincidence
Theorems for Upper Hemi-Continuous Mappings -- Participants
ISBN:9789400946323
Series:eBooks
Series:SpringerLink (Online service)
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Series:NATO ASI Series, C: Mathematical and Physical Sciences: 173
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1986-9789400941199:ONLINE Show nearby items on shelf
Title:Introduction to CLASSICAL MECHANICS
Author(s): A. P French
Date:1986
Size:1 online resource (320 p.)
Note:10.1007/978-94-009-4119-9
Contents:1 Space, time and motion -- What is motion? -- Frames of reference -- Coordinate systems -- Combination of vector displacements -- Scalar product of vectors -- Units and standards of length and time -- Velocity -- Relative velocity
and relative motion -- Acceleration -- Straight-line motion -- Uniform circular motion -- Velocity and acceleration in polar coordinates -- Problems -- 2 Forces -- Forces in equilibrium -- Action and reaction in the contact of objects
-- Rotational equilbrium: torque -- Inertia -- Force and inertial mass: Newton’s second law -- Some comments on Newton’s second law -- The invariance of Newton’s second law relativity -- Concluding remarks -- Problems -- 3 Using
Newton’s laws -- Some examples of F = ma -- Circular paths of charged particles in uniform magnetic fields -- The fracture of rapidly rotating objects -- Motion against resistive forces -- Detailed analysis of resisted motion -- Motion
governed by viscosity -- Growth and decay of resisted motion -- Simple harmonic motion -- Problems -- 4 Universal gravitation -- The discovery of universal gravitation -- Kepler’s third law -- The moon and the apple -- The
gravitational attraction of a large sphere -- Other satellites of the earth -- The value of G, and the mass of the earth -- Local variations of g -- Inertial and gravitational mass -- Weight -- Weightlessness -- The discovery of
Neptune -- Gravitation outside the solar system -- Einstein’s theory of gravitation -- Problems -- 5 Collisions and conservation laws -- The conservation of linear momentum -- Action, reaction, and impulse -- Extending the principle of
momentum conservation -- Jet propulsion -- Rockets -- The zero-momentum frame -- Kinetic energy of a two-body system -- Kinetic energy changes in collisions -- Interacting particles subject to external forces -- The neutrino --
Problems -- 6 Energy conservation in dynamics vibrational motions -- Work, energy, and power -- Energy conservation in one dimension -- The energy method for one-dimensional motions -- Some examples of the energy method -- The harmonic
oscillator by the energy method -- Small oscillations in general -- The linear oscillator as a two-body problem -- Problems -- 7 Conservative forces and motion in space -- Extending the concept of conservative forces -- Object moving
in a vertical circle -- The simple pendulum -- The pendulum as a harmonic oscillator -- The simple pendulum with larger amplitude of swing -- Universal gravitation: a conservative central force -- A gravitating spherical shell -- A
gravitating sphere -- Escape speeds -- More about the criteria for conservative forces -- Fields -- Motion in conservative fields -- The effect of dissipative forces -- Problems -- 8 Inertial forces and non-inertial frames -- Motion
observed from unaccelerated frames -- Motion observed from an accelerated frame -- Accelerated frames and inertial forces -- Accelerating frames and gravity -- Centrifugal force -- General equation of motion in a rotating frame -- The
earth as a rotating reference frame -- The tides -- Tidal heights effect of the sun -- The search for a fundamental inertial frame -- Problems -- 9 Motion under central forces -- Basic features of the problem -- The conservation of
angular momentum -- Energy conservation in central force motions -- Use of the effective potential-energy curves -- Bounded orbits -- Unbounded orbits -- Circular orbits in an inverse-square force field -- Elliptic orbits: analytical
treatment -- Energy in an elliptic orbit -- Possible orbits under a 1/r2 force -- Rutherford scattering -- Problems -- 10 Extended systems and rotational dynamics -- Momentum and kinetic energy of a many-particle system -- Angular
momentum -- Angular momentum as a fundamental quantity -- Conservation of angular momentum -- Moments of inertia of extended objects -- Two theorems concerning moments of inertia -- Kinetic energy of rotating objects -- Angular
momentum conservation and kinetic energy -- Torsional oscillations and rigid pendulums -- Linear and rotational motions combined -- Background to gyroscopic motion -- Gyroscope in steady precession -- Atoms and nuclei as gyroscopes --
The precession of the equinoxes -- Problems -- Solutions to problems
ISBN:9789400941199
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Physics , Mechanics , Mechanical engineering , Materials science , Physics , Mechanics , Mechanical Engineering , Characterization and Evaluation of Materials
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Call number:SPRINGER-1984-9789400964877:ONLINE Show nearby items on shelf
Title:The Big Bang and Georges Lemaître Proceedings of a Symposium in honour of G. Lemaître fifty years after his initiation of Big-Bang Cosmology, Louvain-Ia-Neuve, Belgium, 10–13 October 1983
Author(s):
Date:1984
Size:1 online resource (420 p.)
Note:10.1007/978-94-009-6487-7
Contents:I Cosmology -- Physical and cosmological interactions -- Impact of Lemaitre’s ideas on modern cosmology -- Massive neutrinos and photinos in cosmology and galactic astronomy -- The primordial nucleosynthesis -- A generalization of the
Lemattre models -- Is the universe homogeneous on a large scale? -- Vacuum inhomogeneous cosmological models -- The significance of Newtonian cosmology -- Numerical simulation of evolution of a multi-dimensional Higgs field in the new
inflationary scenario -- Primordial nucleosynthesis and nuclear reaction rates uncertainties -- Time and singularity -- Quasar energy from frozen fusion via massive neutrinos? -- Estimation of galactic masses using the zero
energy-momentum cosmological principle -- II - Celestial Mechanics -- Dynamics of orbiting dust under radiation pressure -- Non gravitational forces in the evolution of the solar system -- Generalizations of the restricted problem of
three bodies -- Secular perturbations of asteroids with commensurable mean motions -- A mechanism of depletion for the Kirkwood’s gaps -- On the stability of the solar system as hierarchical dynamical system -- A relativistic approach
to the Kepler problem -- The three-body problem in stellar dynamics -- The critical periodic orbits in the Störmer problem -- A multimode investigation of granular and supergranular motions I: Boussinesq model -- III - Structure of the
Universe and Cosmic Rays -- Galaxy formation revisited -- Clusters and superclusters -- Cosmic ray sources and confinement in the galaxy -- Strong evidence for metagalactic shock waves at redshifts z?2–3 -- Algebraic programming in
general relativity and cosmology -- Finite euclidean and non-euclidean geometry with applications to the finite pendulum and the polygonal harmonic motion. A first step to finite cosmology -- IV - Georges Lemaitre: The Man and His Work
-- Monsignor Georges Lemaitre -- The Scientific Work of Georges Lemaitre -- Bibliography of Georges Lemaitre -- Author Index
ISBN:9789400964877
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Physics , Astrophysics , Physics , Astrophysics and Astroparticles
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Call number:SPRINGER-1984-9783642695919:ONLINE Show nearby items on shelf
Title:Stochastic Phenomena and Chaotic Behaviour in Complex Systems Proceedings of the Fourth Meeting of the UNESCO Working Group on Systems Analysis Flattnitz, Kärnten, Austria, June 6–10, 1983
Author(s):
Date:1984
Size:1 online resource (274 p.)
Note:10.1007/978-3-642-69591-9
Contents:Introductory Remarks -- I General Concepts -- Some Basic Ideas on a Dynamic Information Theory -- Aspects of Optimization and Adaptation -- Relaxed Markov Processes, Jackson Networks and Polymerisation -- II Chaotic Dynamics-Theory --
Noodle-Map Chaos: A Simple Example -- A Mechanism for Spurious Solutions of Nonlinear Boundary Value Problems -- Approach to Equilibrium: Kuzmin’s Theorem for Dissipative and Expanding Maps -- Complex Behaviours in Macrosystems Near
Polycritical Points -- III Chaotic Dynamics — Real Systems and Experimental Verification -- Chaos in Classical Mechanics: The Double Pendulum -- Chaos in Continuous Stirred Chemical Reactors -- The Interface Between Mathematical Chaos
and Experimental Chemistry -- The Enzyme and the Strange Attractor—Comparisons of Experimental and Numerical Data for an Enzyme Reaction with Chaotic Motion -- Nonuniform Information Processing by Strange Attractors of Chaotic Maps and
Flows -- IV Stability and Instability in Dynamical Networks -- Generalized Modes and Nonlinear Dynamical Systems -- Dynamics of Linear and Nonlinear Autocatalysis and Competition -- Permanence and Uninvadability for Deterministic
Population Models -- V Stochasticity in Complex Systems -- Random Selection and the Neutral Theory—Sources of Stochasticity in Replication -- The Dynamics of Catalytic Hypercycles—A Stochastic Simulation -- Perturbation-Dependent
Coexistence and Species Diversity in Ecosystems -- Chance and Necessity in Urban Systems -- Random Phenomena in Nonlinear Systems in Connection with the Volterra Approach -- List of Contributors
ISBN:9783642695919
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Series in Synergetics: 21
Keywords: Physics , Physical chemistry , Biochemistry , Biophysics , Biological physics , Physics , Theoretical, Mathematical and Computational Physics , Physical Chemistry , Biophysics and Biological Physics , Biochemistry, general
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Call number:SPRINGER-1984-9783540391234:ONLINE Show nearby items on shelf
Title:Nonlinear Analysis and Optimization Proceedings of the International Conference held in Bologna, Italy, May 3–7, 1982
Author(s):
Date:1984
Size:1 online resource (220 p.)
Note:10.1007/BFb0101489
Contents:On the contributions of lamberto cesari to applied mathematics -- Applied mathematics and scientific thought -- Nash point equilibria for variational integrals -- Nonlinear optimization -- Behaviour of solutions of nonlinear
alternative problems under perturbations of the linear part with rank change -- On a property of orlicz-sobolev spaces -- Another approach to elliptic eigenvalue problems with respect to indefinite weight functions -- Some results on
minimal surfaces with free boundaries -- Relaxation methods in nonlinear problems -- Waves in weakly-coupled parabolic systems -- Variational methods and boundary value problems for vector second order differential equations and
applications to the pendulum equation -- Stabilite de Regime des Machines Tournantes et Problemes Associes
ISBN:9783540391234
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1107
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , System theory , Calculus of variations , Mathematics , Applications of Mathematics , Systems Theory, Control , Calculus of Variations and Optimal Control Optimization , Analysis
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Call number:SPRINGER-1982-9789400977938:ONLINE Show nearby items on shelf
Title:Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics Proceedings of the NATO Advanced Study Institute held at Cortina d’Ampezzo, Italy, August 2–14, 1981
Author(s):
Date:1982
Size:1 online resource (373 p.)
Note:10.1007/978-94-009-7793-8
Contents:I: Stars, Planets, Satellites, Asteroids and Rings -- The Dynamics of Close Planetary Satellites and Rings -- The Motion of Saturn’s Co-Orbiting Satellites 1980S1 and 1980S3 -- A Qualitative Study of Stabilizing and Destabilizing
Factors in Planetary and Asteroidal Orbits -- Perturbations in Stellar Paths -- Modern Lunar Theory -- Some Aspects of Motion in the General Planar Problem of Three Bodies In Particular in the Vicinity of Periodic Solutions Associated
with Near Small-Integer Commensurabilities of Orbital Period -- The Stability of N-Body Hierarchical Dynamical Systems -- Reference Systems for Earth Dynamics -- II: Resonance -- Recent Progress in the Theory of the Trojan Asteroids --
The Adiabatic Invariants: Its Use in Celestial Mechanics -- III: Connection with Statistical Mechanics -- Modern and Old Views in the Dynamical Foundations of Classical Statistical Mechanics -- The KAM Invariant and Poincaré’s Theorem
-- IV: Regularization and Geodesics -- Regularization of the Singularities of the N-Body Problem -- Les Geodesiques de l’Ellipsoide a Trois Axes Inegaux, d’Apres Jacobi, Whittaker, Arnold -- Coordonnées Symetriques sur la Variété de
Collision Triple du Problème Plan des Trois Corps -- V: Non-Linearity, Determinancy and Manifolds -- Ergodic Theory and Area Preserving Mappings -- Exploding Dynamical Systems -- On Some Invariant Manifold Results and Their
Applications -- Is Celestial Mechanics Deterministic? -- VI: Abstracts of Seminar Contributions -- On a Family of Continuous Maps of the Circle into Itself Related to the Van der Pol Equation -- Review on Semiconvergent Series,
Periodic Solutions and the Vanishing Hessian in Celestial Mechanics -- Perturbative Effects of Solar Radiation Pressure on the Orbital Motion of High Earth Satellites -- Quasi-Random Motions in a Perturbed Pendulum -- Small Bodies
Captured by a Thin Annular Disk Orbiting Around a Primary Body -- Lie-Algebraic Methods in Dynamics and Celestial Mechanics -- Parabolic Escape and Capture in the Restricted Three-Body Problem for Larger Values of the Jacobi Constant
-- Compatability Conditions for a Non-Quadratic Integral of Motion -- Contact Systems and Celestial Mechanics -- Dimensions of the Invariant Manifolds Associated with Equilibrium Points in the N-Body Problem -- On the Development of an
Artificial Satellite Theory -- Motion at the Second Order Resonances, 3:1 and 5:3 -- On the Applicability of the Transition Chains Mechanism -- Small Divisors in the Derivatives of Hansen’s Coefficients -- Periodic Solutions of the
Restricted Problem of Three Bodies with Small Values of the Mass Parameter -- Non-Universality for a Class of Bifurcations -- Application of Lie-Series to Numerical Integration in Celestial Mechanics -- Applications of Hamilton’s Law
of Varying Action -- Some Current Astrodynamics Developments at the North American Aerospace Defense Command (NORAD) -- About the Triple Collision Manifold in the Planar Three-Body Problem -- Periodic Orbits Near Homoclinic Orbits --
Some Numerical Results of a Semi-Analytic Orbit Theory Using Observed Data -- Orbital Behaviour in the Vicinity of Unstable Periodic Orbits in Dynamical Systems with Three Degrees of Freedom -- On the Convergence of Formal Integrals in
Finite Time -- A Numerical Study of the Asymptotic Solutions to the Family (C) of Periodic Orbits in the Restricted Problem of Three Bodies -- The Equivalence of the Generators of Deprit’s and Giorgelli-Galgani’s Change of Variables in
Differential Systems -- Stabilization of Spiral Density Waves in Flat Galaxies for a Hydrodynamical Model -- Stability of Periodic Orbits Near a Homoclinic Orbit for Analytical Hamiltonians with Two Degrees of Freedom -- A Method for
the Investigation of the Integrability of Dynamical Systems -- Reappearance of Ordered Motion in Classical Non-Integrable Hamiltonian Systems -- Hopf-Bifurcation in a Nearly Hamiltonian System -- A Realization of Dynamical Systems in
Boolean Algebras -- Relativistic Astrodynamics: Problems in Interstellar Flight -- The Origin of the Kirkwood Gaps: A Mapping for Asteroidal Motion Near the 3/1 Commensurability -- Completely Integrable Systems and Singularity in the
Complex t-Plane -- Index of Names -- Index of Subjects
ISBN:9789400977938
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences: 82
Keywords: Physics , Observations, Astronomical , Astronomy , Physics , Astronomy, Observations and Techniques
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Call number:SPRINGER-1981-9781461394617:ONLINE Show nearby items on shelf
Title:The Evolution of Dynamics: Vibration Theory from 1687 to 1742
Author(s): John T Cannon
Date:1981
Size:1 online resource (184 p.)
Note:10.1007/978-1-4613-9461-7
Contents:1. Introduction -- 2. Newton (1687) -- 2.1. Pressure Wave -- 2.2. Remarks -- 3. Taylor (1713) -- 3.1. Vibrating String -- 3.2. Absolute Frequency -- 3.3. Remarks -- 4. Sauveur (1713) -- 4.1. Vibrating String -- 4.2. Remarks -- 5.
Hermann (1716) -- 5.1. Pressure Wave -- 5.2. Vibrating String -- 5.3. Remarks -- 6. Cramer (1722) -- 6.1. Sound -- 6.2. Remarks -- 7. Euler (1727) -- 7.1. Vibrating Ring -- 7.2. Sound -- 8. Johann Bernoulli (1728) -- 8.1. Vibrating
String (Continuous and Discrete) -- 8.2. Remark on the Energy Method -- 9. Daniel Bernoulli (1733 1734) Euler (1736) …. -- 9.1. Linked Pendulum and Hanging Chain -- 9.2. Laguerre Polynomials and J0 -- 9.3. Double and Triple Pendula --
9.4. Roots of Polynomials -- 9.5. Zeros of J0 -- 9.6. Other Boundary Conditions -- 9.7. The Bessel Functions Jv -- 10. Euler (1735) -- 10.1. Pendulum Condition -- 10.2. Vibrating Rod -- 10.3. Remarks -- 11. Johann II Bernoulli (1736)
-- 11.1. Pressure Wave -- 11.2. Remarks -- 12. Daniel Bernoulli (1739 1740) -- 12.1. Floating Body -- 12.2. Remarks -- 12.3. Dangling Rod -- 12.4. Remarks on Superposition -- 13. Daniel Bernoulli (1742) -- 13.1. Vibrating Rod -- 13.2.
Absolute Frequency and Experiments -- 13.3. Superposition -- 14. Euler (1742) -- 14.1. Linked Compound Pendulum -- 14.2. Dangling Rod and Weighted Chain -- 15. Johann Bernoulli (1742) no -- 15.1. One Degree of Freedom -- 15.2. Dangling
Rod -- 15.3. Linked Pendulum I -- 15.4. Linked Pendulum II -- Appendix: Daniel Bernoulli’s Papers on the Hanging Chain and the Linked Pendulum -- Theoremata de Oscillationibus Corporum -- De Oscillationibus Filo Flexili Connexorum --
Theorems on the Oscillations of Bodies -- On the Oscillations of Bodies Connected by a Flexible Thread
ISBN:9781461394617
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Studies in the History of Mathematics and Physical Sciences: 6
Keywords: Mathematics , Physics , Mathematics , Mathematics, general , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1979-9783540355106:ONLINE Show nearby items on shelf
Title:Stochastic Behavior in Classical and Quantum Hamiltonian Systems Volta Memorial Conference, Como, 1977
Author(s):
Date:1979
Size:1 online resource (379 p.)
Note:10.1007/BFb0021732
Contents:Integrable and stochastic behaviour in dynamical astronomy -- Adiabatic and stochastic motion of charged particles in the field of a single wave -- Numerical study of particle motion in two waves -- Stochastic ion heating by a
perpendicularly propagating electrostatic wave -- Preservation of conditionally periodic movements with small change in the Hamilton function -- On resonant hamiltonians with two degrees of freedom near an equilibrium point -- A survey
of the Hénon-Heiles Hamiltonian with applications to related examples -- Ergodic components in the stochastic region in a Hamiltonian system -- A question about the localized mode due to a light impurity -- Nonlinear oscillation
regimes in some physical problems -- Metric universality in nonlinear recurrence -- Magnetic flux annihilation in a large Josephson junction -- Some non-linear physics in crystallographic structures -- Laser instabilities — an example
from synergetics -- Dynamics and ergodicity of the infinite harmonic crystal a review of some salient features -- Geodesic correction to stochastic parallel displacement of tensors -- The method of Dirichlet forms -- Regular and
irregular spectra of molecules -- Semiclassical studies of bound states and molecular dynamics -- The role of periodic orbits in semiclassical quantization -- Semiclassical eigenvalues for rotating triatomic molecules -- Semiclassical
calculation of vibrational energy levels for nonseparable potentials -- Classical quantization conditions for a dynamical system with stochastic behavior? -- Semi-classical ergodicity of quantum eigenstates in the Wigner representation
-- Stochastic behavior of a quantum pendulum under a periodic perturbation -- Periodic solutions of arbitrary period, variational methods
ISBN:9783540355106
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Physics: 93
Keywords: Physics , Physics , Physics, general
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Call number:SPRINGER-1976-9789401014939:ONLINE Show nearby items on shelf
Title:Long-Time Predictions in Dynamics Proceedings of the NATO Advanced Study Institute held in Cortina d’Ampezzo, Italy, August 3–16, 1975
Author(s):
Date:1976
Size:1 online resource (358 p.)
Note:10.1007/978-94-010-1493-9
Contents:I. Fundamentals -- From the Theory of Numbers via Gyroscopes and Lie Algebras to Linear Celestial Mechanics -- Lectures on Linearizing Transformations of Dynamical Systems -- Strongly Perturbed Dynamical Systems -- Catastrophes in
Lagrangian Systems - A -- An Example - B -- Statistical Behavior in Conservative Classical Systems -- G1obal Stability of Area-Preserving Mappings -- On the Method of Averaging -- On the Theory of Averaging -- Qualitative Investigation
of Almost Separable Hamiltonian System of Two Degrees of Freedom -- II. Numerical and Statistical Analysis -- Stabilization, Manipulation, and Analytic Step Adaption -- On the Interpretation of Least Squares Collocation -- A Note on
Stabilization in Three-Body Regularization -- III. Three and Many-Body Problems -- Qualitative Methods and Results in Celestial Mechanics -- On the Characteristic Exponents of the General Three-Body Problem -- Families of Periodic
Orbits in the General N-Body Problem -- Triple Collision -- An Invariant Measure for the Planar Restricted Three Body Problem -- Periodic Oscillations of the First Generation in the Stormer Problem -- IV. Dynamics in Astronomy --
Formal Expressions for the Motion of NPlanets in the Plane, with the Secular Variations Included, and an Extension to Poisson’s Theorem -- The Principle of Least Interaction Action -- Rotational Motions of the Terrestrial Planets --
Long-Term Orbit Determination and Prediction for Geodynamic Investigations -- V. Abstracts of Seminar-Contributions -- Dynamical Systems Involving Uncertainty -- Periodic Orbits Around the Equilibrium Points of a Central Gravitational
Potential Perturbed by the J22 Term -- Time Regularization and Stabilization of an Adams-Moulton-Cowel1 Algorithm -- On the Theory of an Artificial Satellite -- The Evolution of Planetary Orbits in the Capture Theory of the Origin of
the Solar System -- Geodynamic Investigations Using Very Long Term Observation of Near-Earth Satellites -- A New Transformation for the Perturbed Problem of Two Bodies -- Kozai’s Theory of an Artificial Satellite -- Cassini’s Laws --
Theory of the Rotation of the Riged Earth -- Periodic Oscillations of the Second Generation in the Störmer Problem -- Three-Dimensional Branchings of Plane Periodic Solutions -- On Stabilization Using the Energy Integral -- Resonance
Effects in Satellite Orbits -- On the Resonance 1:1 for Hamiltonian Systems Near an Equilibrium Point -- Periodic Orbits Near an Equilibrium Pgint: The Liapunov Center Theorem -- Analytical and Numerical Study of a Perturbed Pendulum
-- Algebraical Aspects of Perturbation Theories -- Stabilization and Time Elements for Kepler’s Problem -- A Note on the Hénon-Heiles Problem -- Newtonian Cosmology with Varying G -- The Effects of Integrals on the Totality of
Solutions of Dynamical Systems
ISBN:9789401014939
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences: 26
Keywords: Physics , Observations, Astronomical , Astronomy , Physics , Astronomy, Observations and Techniques
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Call number:SPRINGER-1975-9783642501210:ONLINE Show nearby items on shelf
Title:The Study of Time II Proceedings of the Second Conference of the International Society for the Study of Time Lake Yamanaka-Japan
Author(s):
Date:1975
Size:1 online resource (486 p.)
Note:10.1007/978-3-642-50121-0
Contents:I. Aging -- Temporal Stages in the Development of the Self -- Time, Death and Ritual in Old Age -- II. Biological Rhythm -- Astronomical References in Biological Rhythms -- Cyclic States as Biological Space-Time Fields -- III. History
of Ideas -- The Concept of Time in Western Antiquity -- Nietzsche and the Concept of Time -- Temporality and Time in Hegel and Marx -- On Historical Time in the Works of Leibniz -- IV. Literature -- Four Phases of Time and Literary
Modernism -- V. Music -- The Structure of Time in Music: Traditional and Contemporary Ramifications and Consequences -- VI. Philosophy -- Human Temporality -- Structures of the ‘Living Present’: Husserl and Proust -- Temporal Passage
and Spatial Metaphor -- Time: Being or Consciousness Alone? — A Realist View -- Time and Ethics: How Is Morality Possible? -- What Time Is Not -- VII. Physics -- A Non-Causal Approach to Physical Time -- On the Origin of Indeterminacy
-- Laws of Physics and Ideas of Time -- Causality and Time -- VIII. Political Philosophy -- The History of Political Philosophy and the Myth of the Tradition -- IX. Psychology -- Events are Perceivable But Time Is Not -- Time
Experience and Memory Processes -- Time and the Structure of Human Cognition -- X. Society -- Time Structuring and Time Measurement: On the Interrelation Between Timekeepers and Social Time -- An Analysis of Future Orientation and Some
of its Social Determinants -- XI. Special Session on Timekeepers and Time -- Clockmaking — The Most General Trade -- Clockwork Before the Clock and Timekeepers Before Timekeeping -- Monasticism and the First Mechanical Clocks -- The
Cathedral Clock and the Cosmological Clock Metaphor -- The Development of the Pendulum as a Device for Regulating Clocks Prior to the 18th Century -- Oriental Concepts of the Measure of Time -- List of Participants: International
Society for the Study of Time, Second World Conference
ISBN:9783642501210
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematics , Mathematics, general
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Call number:QC793.3.B4M5::1993 Show nearby items on shelf
Title:Intermediate Classical dynamics with applications to beam physics
Author(s): Leo Michelotti
(Fermilab)
Date:1993
Publisher:J. Wiley & Sons: New York
Size:340 pgs
Contents:1. Prologue: The Pendulum, 2. Basic Concepts, 3. Hamiltonian Dynamics, 4. Integrable Resonance Models, 5. Perturbation Theories, 6. Epilogue: What Next?
Appendices: A. Analysis of the Half-Integer Resonance, B. What are Nonlinear Dynamics?, C. Resonance Widths, D. Resonance Overlap
ISBN:0471553840
Series:Wiley Series in Beam Physics and Accelerator Technology
Keywords: Beam dynamics.
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Call number:QC790.W48::1998 Show nearby items on shelf
Title:Vacuum fission
Author(s): Richard A. Weiss
Date:1998
Publisher:K & W Publications: Vicksburg, Miss
Size:674 pgs.
Contents:1. Harmonic Oscillator and Pendulum Motion in an Ambient External Field, 2. Geometrical and Physical Optics in The Presence of Gravity, 3. Ultrafast Coherent Quantum States of Hydrogen-Like Atoms, 4. Dimesions of Space and Time in Atomic Nuclei, 5. Electromagnetic Wave Propagation Supression, 6. Vacuum Fission Nuclear Power, 7. Galactic Dynamics and Hydrodynamics, 8. Chemical Reactions of Gases in a Gravitational Field, 9. Internal Vacuum Fission Phase Transitions for Nuclear Power Generation, 10. Hamilton-Jacobi Equations in Space and Time with Broken Internal Symmetries, 11. Population Biology Models for Polygynous Animals and Plants
ISBN:0962478946
Keywords: Nuclear fission.
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Cover Image This book is only available through interlibrary loan. (email library@fnal.gov if you would like this title added to the Library collection.)
Call number:QC20.7.N6S33::1988 Show nearby items on shelf
Title:Nonlinear physics : from the pendulum to turbulence and chaos
Author(s): R.Z. Sagdeev
Daniel Alekseevich Usikov
Date:1988
Publisher:Harwood Academic Publishers, Chur, Switzerland
Size:67518
ISBN:3718648288
Series:Contemporary concepts in physics, v. 4
Keywords: Nonlinear theories.
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Call number:QC174.26.W28.F5513::2000 Show nearby items on shelf
Title:The versatile soliton
Author(s): Alexandre T.( Tikhonovich) Filippov
Date:2000
Publisher:Birkhauser, Boston
Size:261 pgs.
Contents:Part I: An Early History of the Soliton, 1.Century and a Half Ago, 2.The Great Solitary Wave of John Scott Russell, 3. Relatives of the Soliton
Part II: Nonlinear Oscillations and Waves, 4. A Portrait of the Pendulum, 5. From Pendulum to Waves and Solitons
Part III: The Present and Future of the Soliton, 6. Frenkel's Solitons, 7. Rebirth of the Soliton, 8. Modern Solitons, Appendiix 1. Lord Kelvin On Ship Waves, Appendix 2. Skyrme's Soliton
ISBN:0817636358
Keywords: Solitons.
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Call number:QC174.12.L4326::2011 Show nearby items on shelf
Title:Quantum physics for poets
Author(s): Leon M. Lederman
Christopher T. Hill
Date:2011
Publisher:Amherst, N.Y. : Prometheus Books
Size:338 p.
Contents:If you're not shocked, you haven't understood. An advance peek at quantum physics -- Why is quantum theory psychologically disturbing? -- Spooky actions at a distance--Schrodinger's tabby -- No math, but perhaps a few numbers -- Why do we care about a theory? -- Intuition? fire up your counterintuition -- Before the quantum. Complicating factors -- The parabola and the pendulum -- The cannon and the cosmos -- Light and its various curiosities. How fast does light travel?
ISBN:9781616142339
Keywords: Quantum theory Popular works.
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Call number:QA862.P4B35::1990 Show nearby items on shelf
Title:Chaotic dynamics : an introduction
Author(s): Gregory L. Baker
J.P. Gollub
Date:1990
Publisher:Cambridge University Press, Cambridge [England
Size:182
ISBN:0521382580
Keywords: Pendulum.
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