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Concepts and Results in Chaotic Dynamics: A Short Course

  • Pierre Collet
  • Jean-Pierre Eckmann

Part of the Theoretical and Mathematical Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Pierre Collet, Jean-Pierre Eckmann
    Pages 1-3
  3. Pierre Collet, Jean-Pierre Eckmann
    Pages 5-25
  4. Pierre Collet, Jean-Pierre Eckmann
    Pages 27-43
  5. Pierre Collet, Jean-Pierre Eckmann
    Pages 45-78
  6. Pierre Collet, Jean-Pierre Eckmann
    Pages 79-122
  7. Pierre Collet, Jean-Pierre Eckmann
    Pages 123-140
  8. Pierre Collet, Jean-Pierre Eckmann
    Pages 141-161
  9. Pierre Collet, Jean-Pierre Eckmann
    Pages 163-185
  10. Pierre Collet, Jean-Pierre Eckmann
    Pages 187-214
  11. Back Matter
    Pages 215-232

About this book

Introduction

The study of dynamical systems is a well established field. The authors have written this book in an attempt to provide a panorama of several aspects, that are of interest to mathematicians and physicists alike. The book collects the material of several courses at the graduate level given by the authors. Thus, the exposition avoids detailed proofs in exchange for numerous illustrations and examples, while still maintaining sufficient precision. Apart from common subjects in this field, a lot of attention is given to questions of physical measurement and stochastic properties of chaotic dynamical systems.

Keywords

Invariant dynamical systems ergodic theory hyperbolic dynamics proof statistical properties

Authors and affiliations

  • Pierre Collet
    • 1
  • Jean-Pierre Eckmann
    • 2
  1. 1.Center of Theoretical Physics École PolytechniquePalaiseauFrance
  2. 2.Department of Theoretical Physics and Mathematics SectionUniversity of GenevaSwitzerland

Bibliographic information

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