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Global Bifurcations and Chaos

Analytical Methods

  • Book
  • © 1988

Overview

Authors:
  1. Stephen Wiggins

    1. Applied Mechanics 104-44, California Institute of Technology, Pasadena, USA

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Part of the book series: Applied Mathematical Sciences (AMS, volume 73)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Introduction: Background for Ordinary Differential Equations and Dynamical Systems

    • Stephen Wiggins
    Pages 1-74

  3. Chaos: Its Descriptions and Conditions for Existence

    • Stephen Wiggins
    Pages 75-170

  4. Homoclinic and Heteroclinic Motions

    • Stephen Wiggins
    Pages 171-333

  5. Global Perturbation Methods for Detecting Chaotic Dynamics

    • Stephen Wiggins
    Pages 334-474

  6. Back Matter

    Pages 475-495
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Keywords

About this book

Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov's method to multi-degree of freedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory.

Authors and Affiliations

  • Applied Mechanics 104-44, California Institute of Technology, Pasadena, USA

    Stephen Wiggins

Bibliographic Information

  • Book Title: Global Bifurcations and Chaos

  • Book Subtitle: Analytical Methods

  • Authors: Stephen Wiggins

  • Series Title: Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-1-4612-1042-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1988

  • Softcover ISBN: 978-1-4612-1041-2Published: 14 March 2014

  • eBook ISBN: 978-1-4612-1042-9Published: 27 November 2013

  • Series ISSN: 0066-5452

  • Series E-ISSN: 2196-968X

  • Edition Number: 1

  • Number of Pages: XIV, 495

  • Topics: Analysis, Theoretical, Mathematical and Computational Physics

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