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Introduction to Applied Nonlinear Dynamical Systems and Chaos

  • Stephen Wiggins

Part of the Texts in Applied Mathematics book series (TAM, volume 2)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Pages 1-4
  3. Pages 20-27
  4. Pages 71-76
  5. Pages 87-89
  6. Pages 104-116
  7. Pages 122-150
  8. Pages 169-196
  9. Pages 231-233
  10. Pages 245-269
  11. Pages 270-355
  12. Pages 555-575
  13. Pages 576-584
  14. Pages 726-735
  15. Back Matter
    Pages 809-843

About this book

Introduction

This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. He has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background, such as students in engineering, physics, chemistry, and biology, will find this text as useful as students of mathematics.

This new edition contains extensive new material on invariant manifold theory and normal forms (in particular, Hamiltonian normal forms and the role of symmetry). Lagrangian, Hamiltonian, gradient, and reversible dynamical systems are also discussed. Elementary Hamiltonian bifurcations are covered, as well as the basic properties of circle maps. The book contains an extensive bibliography as well as a detailed glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view.

Keywords

Dynamical system artificial intelligence chaos dynamical systems dynamische Systeme nonlinear dynamics stability

Authors and affiliations

  • Stephen Wiggins
    • 1
  1. 1.School of MathematicsUniversity of BristolClifton, BristolUK

Bibliographic information

  • DOI https://doi.org/10.1007/b97481
  • Copyright Information Springer-Verlag New York, Inc. 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-00177-7
  • Online ISBN 978-0-387-21749-9
  • Series Print ISSN 0939-2475
  • Buy this book on publisher's site
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