Chaotic Transport in Dynamical Systems

  • Stephen Wiggins

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

  • Stephen Wiggins
    • 1
  1. 1.Applied Mechanics DepartmentCalifornia Institute of TechnolgyPasadenaUSA

Bibliographic information

  • 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
  • Print ISBN 978-1-4419-3096-5
  • Online ISBN 978-1-4757-3896-4
  • Series Print ISSN 0939-6047
  • About this book