Dynamics Reported
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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Dynamics Reported: Expositions in Dynamical Systems(5 Dynamics Reported. New Series)
Dynamics Reported: Expositions in Dynamical Systems(5 Dynamics Reported. New Series)

Dynamics Reported: Expositions in Dynamical Systems(5 Dynamics Reported. New Series)


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About the Book

This book contains 4 contributions in the field of dynamical systems. The authors are well-known specialists in this field and in their articles they give a careful readable presentation of recent research results, addressed to graduate students and researchers in these fields; the book is also suitable as a text for graduate level seminars in dynamical systems.

Table of Contents:
Hyperbolicity and Exponential Dichotomy for Dynamical Systems.- 1. Introduction.- 2. The Main Lemma.- 3. The Linearization Theorem of Hartman and Grobman.- 4. Hyperbolic Invariant Sets: e-orbits and Stable Manifolds.- 5. Structural Stability of Anosov Diffeomorphisms.- 6. Periodic Points of Anosov Diffeomorphisms.- 7. Axiom A Diffeomorphisms: Spectral Decomposition.- 8. The In-Phase Theorem.- 9. Flows.- 10. Proof of Lemma 1.- References.- Feedback Stabilizability of Time-Periodic ParabolicEquations.- 0. Introduction.- I. Linear Periodic Evolution Equations.- II. Controllability, Observability and Feedback Stabilizability.- III. Applications to Second Order Time-Periodic Parabolic Initial-Boundary Value Problems.- References.- Homoclinic Bifurcations with Weakly Expanding Center.- 1. Introduction.- 2. Hypotheses, a Reduction Principle and Basic Existence Theorems.- 3. Preliminaries.- 4. Proof of the Main Results in 2.- 5. Simple Periodic Solutions.- 6. Bifurcations of Homoclinic Solutions with One-Dimensional Local Center Manifolds.- 7. Estimates Related to a Nondegenerate Hopf Bifurcation.- 8. Interaction of Homoclinic Bifurcation and Hopf Bifurcation.- 9. The Disappearance of Periodic and Aperiodic Solutions when ?2 Passes Through Turning Points.- References.- Homoclinic Orbits in a Four Dimensional Model of a Perturbed NLS Equation: A Geometric Singular Perturbation Study.- 1. Introduction.- 2. Geometric Structure and Dynamics of the Unperturbed System.- 3. Geometric Structure and Dynamics of the Perturbed System.- 4. Fiber Representations of Stable and Unstable Manifolds.- 5. Orbits Homoclinic to q€.- 6. Numerical Study of Orbits Homoclinic to q€.- 7. The Dynamical Consequences of Orbits Homoclinic to q€: The Existence and Nature of Chaos.- 8. Conclusion.-References.


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Product Details
  • ISBN-13: 9783642799334
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 235 mm
  • No of Pages: 289
  • Returnable: N
  • Sub Title: Expositions in Dynamical Systems
  • ISBN-10: 3642799337
  • Publisher Date: 14 Dec 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Series Title: 5 Dynamics Reported. New Series
  • Width: 155 mm


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