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© 1992

Chaotic Transport in Dynamical Systems

Book

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

About this book

Introduction

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.

Keywords

dynamical systems dynamics fluid mechanics hamiltonian system mechanics

Authors and affiliations

  1. 1.Applied Mechanics DepartmentCalifornia Institute of TechnolgyPasadenaUSA

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
  • Copyright Information Springer-Verlag New York 1992
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-0-387-97522-1
  • Softcover ISBN 978-1-4419-3096-5
  • eBook ISBN 978-1-4757-3896-4
  • Series ISSN 0939-6047
  • Edition Number 1
  • Number of Pages XIII, 301
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
    Complex Systems
    Statistical Physics and Dynamical Systems
  • Buy this book on publisher's site
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