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Chaotic Transport in Dynamical Systems

  • Book
  • © 1992

Overview

Authors:
  1. Stephen Wiggins

    1. Applied Mechanics Department, California Institute of Technolgy, Pasadena, USA

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Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 2)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction and Examples

    • Stephen Wiggins
    Pages 1-15

  3. Transport in Two-Dimensional Maps: General Principles and Results

    • Stephen Wiggins
    Pages 17-79

  4. Convective Mixing and Transport Problems in Fluid Mechanics

    • Stephen Wiggins
    Pages 81-120

  5. Transport in Quasiperiodically Forced Systems: Dynamics Generated by Sequences of Maps

    • Stephen Wiggins
    Pages 121-191

  6. Markov Models

    • Stephen Wiggins
    Pages 193-208

  7. Transport in к-Degree-of-Freedom Hamiltonian Systems, 3 ≤ к < ∞: The Generalization of Separatrices to Higher Dimensions and Their Geometrical Structure

    • Stephen Wiggins
    Pages 209-271

  8. Back Matter

    Pages 273-301
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Keywords

About this book

Provides a new and more realistic framework for describing the dynamics of non-linear systems. A number of issues arising in applied dynamical systems from the viewpoint of problems of phase space transport are raised in this monograph. Illustrating phase space transport problems arising in a variety of applications that can be modeled as time-periodic perturbations of planar Hamiltonian systems, the book begins with the study of transport in the associated two-dimensional Poincaré Map. This serves as a starting point for the further motivation of the transport issues through the development of ideas in a non-perturbative framework with generalizations to higher dimensions as well as more general time dependence. A timely and important contribution to those concerned with the applications of mathematics.

Authors and Affiliations

  • Applied Mechanics Department, California Institute of Technolgy, Pasadena, USA

    Stephen Wiggins

Bibliographic Information

  • Book Title: Chaotic Transport in Dynamical Systems

  • Authors: Stephen Wiggins

  • Series Title: Interdisciplinary Applied Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-3896-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York 1992

  • Hardcover ISBN: 978-0-387-97522-1Published: 18 December 1991

  • Softcover ISBN: 978-1-4419-3096-5Published: 07 December 2010

  • eBook ISBN: 978-1-4757-3896-4Published: 09 April 2013

  • Series ISSN: 0939-6047

  • Series E-ISSN: 2196-9973

  • Edition Number: 1

  • Number of Pages: XIII, 301

  • Topics: Analysis, Complex Systems, Statistical Physics and Dynamical Systems

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