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Call number: | 9789814506335:ONLINE Show nearby items on shelf |
Title: | Symplectic Twist Maps Global Variational Techniques |
Author(s): |
Christophe Golé |
Date: | 2001 |
Publisher: | World Scientific |
Size: | 324 p |
Contents: | Front matter -- Introduction -- Twist maps of the annulus -- The aubry-mather theorem -- Ghost circles -- Symplectic twist maps -- Periodic orbits for symplectic twist maps of T*Tn -- Invariant manifolds -- Hamiltonian systems vs. twist maps -- Periodic orbits for hamiltonian systems -- Generalizations of the aubry-mather theorem -- Generating phases and symplectic topology -- back matter. |
ISBN: | 9789814506335 |
Series: | Advanced Series in Nonlinear Dynamics: Volume 18 |
Keywords: | Twist mappings |
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Call number: | SPRINGER-2001-9789401724142:ONLINE Show nearby items on shelf |
Title: | New Developments in the Dynamics of Planetary Systems Proceedings of the Fifth Alexander von Humboldt Colloquium on Celestial Mechanics held in Badhofgastein (Austria), 19–25 March 2000 |
Author(s): | |
Date: | 2001 |
Size: | 1 online resource (380 p.) |
Note: | 10.1007/978-94-017-2414-2 |
Contents: | Statistics for Twenty-First Century Astrometry -- Synthetic Proper Elements for Outer Main Belt Asteroids -- Invariant Tori in the Secular Motions of the Three-Body Planetary Systems -- Improvements of Planetary Theories Over 6000 |
Years -- The Distribution of Energy Perturbations at Planetary Close Encounters -- Dynamics of Small Earth-Approachers on Low-Eccentricity Orbits and Implications for their Origins -- The Phase Space Structure Around L4 in the | |
Restricted Three-Body Problem -- Why Do Trojan ASCS (not) Escape? -- The 2/1 and 3/2 Resonant Asteroid Motion: A Symplectic Mapping Approach -- Twist and Non-Twist Bifurcations in a System of Coupled Oscillators -- The Mel’nikov | |
Subharmonic Function and the Non-Existence of Analytic Integrals in Non-Autonomous Systems -- On the Structure of Symplectic Mappings. The Fast Lyapunov Indicator: A Very Sensitive Tool -- Crossing of Various Cantori -- Fractal | |
Dimensions as Chaos Indicators -- Normal Form Invariants Around Spin-Orbit Periodic Orbits -- The Third Integral in a Self-Consistent Galactic Model -- Counterrotating Galaxies and Memory of Cosmological Initial Conditions -- The | |
Family P12 of the Three-Body Problem — The Simplest Family of Periodic Orbits, with Twelve Symmetries Per Period -- The Caledonian Symmetrical Double Binary Four-Body Problem I: Surfaces of Zero-Velocity using the Energy Integral -- | |
Application of the Nonrestricted Three-bodies Problem to the Stellar System ? UMA -- Periodic Solutions of the Planetary 5:2 Resonance Three-body Problem -- Limits of Stability for Planets in Double Star Systems Using the Fast Lyapunov | |
Indicators -- On a Fokker-Planck Approach to Asteroidal Transport -- Fractality in a Galactic Model -- Transformation Methods fo Trigonometric Parallaxes -- The Search for Exosolar systems -- The Two Fixed Centers Problem Revisited -- | |
The Phase Space Structure of the General Sitnikov Problem | |
ISBN: | 9789401724142 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Mechanics , Observations, Astronomical , Astronomy , Astrophysics , Physics , Astronomy, Observations and Techniques , Astrophysics and Astroparticles , Theoretical, Mathematical and Computational Physics , Mechanics |
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Call number: | SPRINGER-2001-9781461201915:ONLINE Show nearby items on shelf |
Title: | Nonlinear Analysis and its Applications to Differential Equations |
Author(s): | |
Date: | 2001 |
Size: | 1 online resource (384 p.) |
Note: | 10.1007/978-1-4612-0191-5 |
Contents: | An Overview of the Method of Lower and Upper Solutions for ODEs -- On the Long-time Behaviour of Solutions to the Navier-Stokes Equations of Compressible Flow -- Periodic Solutions of Systems with p-Laplacian-like Operators -- |
Mechanics on Riemannian Manifolds -- Twist Mappings, Invariant Curves and Periodic Differential Equations -- Variational Inequalities, Bifurcation and Applications -- Complex Dynamics in a Class of Reversible Equations -- Symmetry and | |
Monotonicity Results for Solutions of Certain Elliptic PDEs on Manifolds -- Nielsen Number and Multiplicity Results for Multivalued Boundary Value Problems -- Bifurcation Theory and Application to Semilinear Problems near the Resonance | |
Parameter -- Orientation and Degree for Fredholm Maps of Index Zero Between Banach Spaces -- On the Method of Upper and Lower Solutions for First Order BVPs -- Nonlinear Optimal Control Problems for Diffusive Elliptic Equations of | |
Logistic Type -- On The Use of Time-Maps in Nonlinear Boundary Value Problems -- Some Aspects of Nonlinear Spectral Theory -- Asymmetric Nonlinear Oscillators -- Hopf Bifurcation for a Delayed Predator-Prey Model and the Effect of | |
Diffusion -- Galerkin-Averaging Method in Infinite-Dimensional Spaces for Weakly Nonlinear Problems -- PBVPs for Ordinary Impulsive Differential Equations -- Homoclinic and Periodic Solutions for Some Classes of Second Order | |
Differential Equations -- Global Bifurcation for Monge-Ampère Operators -- Remarks on Boundedness of Semilinear Oscillators -- The Dual Variational Method in Nonlocal Semilinear Tricomi Problems -- Symmetry Properties of Positive | |
Solutions of Nonlinear Differential Equations Involving the p-Laplace Operator -- A Maximum Principle with Applications to the Forced Sine-Gordon Equation -- Lipschitzian Regularity Conditions for the Minimizing Trajectories of Optimal | |
Control Problems -- Abstract Concentration Compactness and Elliptic Equations on Unbounded Domains | |
ISBN: | 9781461201915 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Nonlinear Differential Equations and Their Applications : 43 |
Keywords: | Mathematics , Functional analysis , Differential equations , Partial differential equations , Mathematics , Ordinary Differential Equations , Functional Analysis , Partial Differential Equations |
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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 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Nonlinear Differential Equations and Their Applications : 12 |
Keywords: | Science , Science , Science, general |
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Call number: | SPRINGER-1992-9783642773037:ONLINE Show nearby items on shelf |
Title: | Mathematical Physics X Proceedings of the Xth Congress on Mathematical Physics, Held at Leipzig, Germany, 30 July – 9 August, 1991 |
Author(s): | |
Date: | 1992 |
Size: | 1 online resource (497 p.) |
Note: | 10.1007/978-3-642-77303-7 |
Contents: | I Plenary Lectures -- Recent Progress in Classical Mechanics -- to the Differential Geometry of Quantum Groups -- Chaotic Quantum Systems -- Dynamical Zeta Functions: Where Do They Come From and What Are They Good For? -- |
Billiard-Type Systems with Chaotic Behaviour and Space-Time Chaos -- Statistical Physics and Spectral Theory of Disordered Systems: Some Recent Developments -- Low Temperature Stochastic Spin Dynamics: Metastability, Convergence to | |
Equilibrium and Phase Segregation -- Entropy Methods in Hydrodynamical Scaling -- Quantum Groups and Non-Commutative Differential Geometry -- Hamiltonian Methods in Conformal Field Theory -- On the General Theory of Quantized Fields -- | |
Atomic and Molecular Structure — A Renormalized Picture — -- Gauge Invariance in Non-Relativistic Many-Body Theory -- Asymptotic Completeness for N-Body Quantum Systems -- Self-Dual Chern—Simons Solitons -- Mathematical Theory of | |
Classical Fields and General Relativity -- Representations of Quantized Differential Forms in Non-Commutative Geometry -- II Session Lectures -- Section 1: Analysis on Manifolds and Classical Mechanics -- Solutions of Nonlinear Wave | |
Equations and Localization Theory -- Connections on Symplectic Manifolds and Characteristic Classes of Hamiltonian Systems -- Symplectic Twist Maps and the Theorem of Conley—Zehnder for General Cotangent Bundles -- Floer Homology for | |
Mapping Cylinders -- Section 2: Quantum Groups and Non-Commutative Differential Geometry -- ?-Deformation of (Super)Poincaré Algebra -- Quantum Physics as Non-Commutative Geometry -- An Operator Algebraic Framework for the Duality of | |
Quantum Groups -- Section 3: Chaotic Quantum Systems -- Distribution of Energy Levels in Quantum Systems with Integrable Classical Counterpart. Rigorous Results -- Entropy-Invariants of Dynamical Systems and Perturbations of Operators | |
-- Chaotic Motion in Coulombic Potentials -- Generalized Floquet Operator for Quasiperiodically Driven Quantum Systems -- Section 4: Equilibrium Statistical Mechanics -- Magnetization and Slow Decay of Correlations in Continuum 1/r2 | |
Ising Models -- Existence of the Kosterlitz-Thouless Phase for Two-Dimensional Coulomb Gases at Inverse Temperatures above 8? -- Large Deviation Behavior of Statistical Mechanics Models in the Multiphase Regime -- Section 5: Classical | |
Dynamical Systems and Random Perturbations -- A Variational Approach to the Random Diffeomorphisms Type Perturbations of a Hyperbolic Diffeomorphism -- Chaotic Mappings and Stochastic Markov Chains -- Section 6: Disordered Systems -- | |
Quantum Spin Systems in a Random Environment -- Rounding Effects in Systems with Static Disorder -- Section 7: Nonequilibrium Statistical Mechanics -- Derivation of Euler Equation from Hamiltonian Systems with Negligible Random Noise | |
-- The Spatial Structure in Diffusion Limited Two-Particle Reactions -- Multilevel Models of Interacting Diffusions and Large Deviations -- Section 8: General Theory of Quantized Fields -- Fields, Particles and Analyticity: Recent | |
Results -- Quantum Field Theory in Curved Spacetime -- Charges in Quantum Field Theory -- Three Exactly Soluble Quantum Field Theory Models in 2-, 3- and 4-Dimensional Space Time and Some General Questions They Suggest -- CPT- and | |
Lorentz-Transformations in Two-Dimensional Quantum Field Theory -- The Concept of Spontaneously Broken Symmetry and a New Approach to Goldstone’s Theorem -- Section 9: Nonrelativistic Quantum Mechanics (Stationary) -- On the Atomic | |
Energy Asymptotics -- Section 10: Special Systems in Quantum Field -- Existence of the Schwinger Functions of the Three-Dimensional Gross-Neveu Model -- Progress in Completely Integrable Models of Quantum Field Theory -- Section 11: | |
Scattering Theory, Inverse Problems -- Inverse Scattering at Fixed Energy -- Semi-Classical and High-Energy Asymptotics of the Scattering Phase for Perturbations of Elliptic Operators -- On the Mapping Properties of the Wave Operators | |
in Scattering Theory -- Section 12: Conformai and Topological Field Theory -- Reduction of Kac-Moody Systems -- Quantum Symmetry of Rational Conformal Models -- Section 13: General Relativity and Classical Field Theory -- Quasi-Normal | |
Modes of the Schwarzschild Space-Time -- The Initial Value Problem for Self-Gravitating Fluid Bodies -- Poster Session and Program -- Poster Session -- Program | |
ISBN: | 9783642773037 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical physics , Physics , Thermodynamics , Statistical physics , Dynamical systems , Mathematics , Mathematical Physics , Mathematical Methods in Physics , Thermodynamics , Statistical Physics, Dynamical Systems and Complexity |
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Call number: | SPRINGER-1985-9781468412215:ONLINE Show nearby items on shelf |
Title: | Regular and Chaotic Motions in Dynamic Systems |
Author(s): | |
Date: | 1985 |
Size: | 1 online resource (310 p.) |
Note: | 10.1007/978-1-4684-1221-5 |
Contents: | to the Problems -- Applications of Scaling Ideas to Dynamics -- to Hyperbolic Sets -- Topics in Conservative Dynamics -- Classical Mechanics and Renormalization Group -- Measures Invariant Under Mappings of the Unit Interval -- |
Integrable Dynamical Systems -- Appendix (Seminars) Iteration of Polynomials of Degree 2, Iterations of Polynomial-like Mappings -- Boundary of the Stability Domain around the Origin for Chirikov’s Standard Mapping -- Incommensurate | |
Structures in Solid State Physics and Their Connection with Twist Mappings -- Julia Sets — Orthogonal Polynomials Physical Interpretations and Applications -- Scaling Laws in Turbulence | |
ISBN: | 9781468412215 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Physics , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-1983-9783540409694:ONLINE Show nearby items on shelf |
Title: | Geometric Dynamics Proceedings of the International Symposium held at the Instituto de Matématica Pura e Aplicada Rio de Janeiro, Brasil, July – August 1981 |
Author(s): | |
Date: | 1983 |
Size: | 1 online resource (827 p.) |
Note: | 10.1007/BFb0061405 |
Contents: | An index for the global continuation of relatively isolated sets of periodic orbits -- Unremovable closed orbits -- On local entropy -- Infinitely many'moduli of strong stability in divergence free unfoldings of singularities of |
vector fields -- An extension of Peixoto's structural stability theorem to open surfaces with finite genus -- Some remarks about homoclinic points of second order differential equations -- On the local classification of holomorphic | |
vector fields -- On surfaces of constant mean curvature in a three-dimensional space of constant curvature -- A periodic orbit index which is a bifurcation invariant -- An index theory for periodic solutions of a Hamiltonian system -- | |
Foliations that are not approximable by smoother ones -- A proof of Pesin's stable manifold theorem -- Proprietes de genericite des transformations canoniques -- Periodic points and twisted coefficients -- Statistical properties of | |
foliations -- Dehn surgery on Anosov flows -- Smoothability of cherry flows on two-manifolds -- An approximation theorem for immersions with stable configurations of lines of principal curvature -- Currents on a circle invariant by a | |
fuchsian group -- Infinite dimensional dynamical systems -- Flows on S3 and R3 without periodic orbits -- Generalizations of some theorems of small divisors to non archimedean fields -- The topology of linear ?m-flows on ?n -- Lyapunov | |
functions and stability of geodesic flows -- Finite determinacy of germs of integrable 1-forms in dimension 3 (a special case) -- An example of polynomial interpolation of an hyperbolic attractor -- Algebraic problems arising from | |
Morse-Smale dynamical systems -- Lyapounov exponents and stable manifolds for compact transformations -- Hyperbolic dynamical systems with isolated points -- On moduli of stability of vector fields on open manifolds -- Dynamics of | |
certain skew products -- A note on the inclination Lemma (?-Lemma) and Feigenbaum's rate of approach -- A special Cr Closing Lemma -- Capture in resonance: Opening a homoclinic orbit through slowly varying coefficients -- Small random | |
perturbations and the definition of attractors -- On the existence of invariant curves of twist mappings of an annulus -- On the average cost of solving polynomial equations -- Conformal dynamical systems -- Quadratic vector fields | |
with finitely many periodic orbits -- Absolutely continuous invariant measures for rational mappings of the sphere S2 -- The role of qualitative dynamics in applied sciences -- Rate of approach to minima and sinks the C2 Axiom a no | |
cycle case -- C1-conjugaison des difféomorphismes du cercle | |
ISBN: | 9783540409694 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 1007 |
Keywords: | Mathematics , Functions of real variables , Mathematics , Real Functions |
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Call number: | SPRINGER-1983-9783540395942:ONLINE Show nearby items on shelf |
Title: | Dynamical System and Chaos Proceedings of the Sitges Conference on Statistical Mechanics Sitges, Barcelona/Spain September 5–11, 1982 |
Author(s): | |
Date: | 1983 |
Size: | 1 online resource (298 p.) |
Note: | 10.1007/3-540-12276-1 |
Contents: | Prologue Some ideas about strange attractors -- Chaotic dynamics in Hamiltonian systems with divided phase space -- Periodic and quasi-periodic orbits for twist maps -- Macroscopic behavior in a simple chaotic Hamiltonian system -- |
Quantum dynamics -- A universal transition from quasi-periodicity to Chaos — Abstract -- Self-generated diffusion and universal critical properties in chaotic systems -- Subharmonics and the transition to chaos -- Low dimensional | |
dynamics and the period doubling scenario -- Strange attractors in fluid dynamics -- Experimental aspects of the period doubling scenario -- Entropy and smooth dynamics -- Imbedding of a one-dimensional endomorphism into a | |
two-dimensional diffeomorphism. Implications -- Strange attractors for differential delay equations -- Stochastic perturbations of some strange attractors -- Solutions of stochastic differential equations and fractal trajectories -- | |
Continuous bifurcation and dissipative structures associated with a soft mode recombination instability in semiconductors -- On the characterization of chaotic motions -- Complex bifurcations in a periodically forced normal form -- | |
Topological entropy and scaling behaviour -- On the analytic structure of chaos in dynamical systems -- Type-III-intermittency in a smooth perturbation of the logistic system -- Irreversible evolution of dynamical systems -- Homoclinic | |
and heteroclinic points in the henon map -- The simple periodic orbits in the unimodal maps -- Modulation properties in decaying processes of the correlation function in a family of t-D maps -- Relaxation times and randomness for a | |
nonlinear classical system -- Topological entropy on rotation sequences -- The taylor-green vortex : Fully developed turbulence and transition to spatial chaos -- Anharmonic systems in external periodic fields with chaotic behaviour -- | |
Renormalization of non-analytical unimodal maps -- Critical fluctuations in a thermo-chemical instability -- The second order Melnikov integral applied to detect quasi-randomness -- The Fokker-Planck equation as a dynamical system -- | |
On integrability of quadratic area preserving mappings in the plane -- Resonances: Key elements to the understanding of non linear oscillations -- On systems passing through resonances -- The Lyapunov characteristic numbers and the | |
number of isolating integrals in galactic models -- On the periodic orbits of the Contopoulos Hamiltonian -- Feasibility of calculating dimension and topological entropy -- Diffusions generated from dynamical systems -- Report on the | |
driven Josephson equation | |
ISBN: | 9783540395942 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 179 |
Keywords: | Physics , Physics , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-1980-9783540383123:ONLINE Show nearby items on shelf |
Title: | Global Theory of Dynamical Systems Proceedings of an International Conference Held at Northwestern University, Evanston, Illinois, June 18–22, 1979 |
Author(s): | |
Date: | 1980 |
Size: | 1 online resource (499 p.) |
Note: | 10.1007/BFb0086975 |
Contents: | Morse-smale fields of geodesics -- Periodic points and topological entropy of one dimensional maps -- Ergodicity of linked twist maps -- Infinitesimal hyperbolicity implies hyperbolicity -- A qualitative singular perturbation theorem |
-- On a theorem of conley and smoller -- Positively expansive maps of compact manifolds -- An algorithm for finding closed orbits -- Linked twist mappings are almost anosov -- Symbolic dynamics, homology, and knots -- Anomalous anosov | |
flows -- Efficiency vs. hyperbolicity on tori -- Dynamical behavior of geodesic fields -- The growth of topological entropy for one dimensional maps -- Separatrices, non-isolated invariant sets and the seifert conjecture -- | |
Construction of invariant measures absolutely continuous with respect to dx for some maps of the interval -- The estimation from above for the topological entropy of a diffeomorphism -- Ergodicity in (G,?)-extensions -- A probabilistic | |
version of bowen — Ruelle's volume lemma -- Periodically forced relaxation oscillations -- Moduli of stability for diffeomorphisms -- Uncountably many distinct topologically hyperbolic equilibria in ?4 -- Dynamical properties of | |
certain non-commutative skew-products -- A note on explosive flows -- Intertwining invariant manifolds and the lorenz attractor -- Counting compatible boundary conditions -- Stable manifolds for maps -- Singular points of planar vector | |
fields -- Gradient vectorfields near degenerate singularities -- Invariant curves near parabolic points and regions of stability -- Motion under the influence of a strong constraining force -- Conjugacies of topologically hyperbolic | |
fixed points: A necessary condition on foliations -- Coleman's conjecture on topological hyperbolicity -- Population dynamics from game theory | |
ISBN: | 9783540383123 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Mathematics: 819 |
Keywords: | Physics , Physics , Theoretical, Mathematical and Computational Physics |
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