Chaotic Transport in Dynamical Systems / Edition 1

Chaotic Transport in Dynamical Systems / Edition 1

by Stephen Wiggins
     
 

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ISBN-10: 1441930965

ISBN-13: 9781441930965

Pub. Date: 12/07/2010

Publisher: Springer New York

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

Overview

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.

Product Details

ISBN-13:
9781441930965
Publisher:
Springer New York
Publication date:
12/07/2010
Series:
Interdisciplinary Applied Mathematics Series, #2
Edition description:
Softcover reprint of hardcover 1st ed. 1992
Pages:
301
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

1 Introduction and Examples.- 2 Transport in Two-Dimensional Maps: General Principles and Results.- 3 Convective Mixing and Transport Problems in Fluid Mechanics.- 4 Transport in Quasiperiodically Forced Systems: Dynamics Generated by Sequences of Maps.- 5 Markov Models.- 6 Transport in k-Degree-of-Freedom Hamiltonian Systems, 3 ? k < ?: The Generalization of Separatrices to Higher Dimensions and Their Geometrical Structure.- Appendix 1 Proofs of Theorems 2.6 and 2.12.- Appendix 2 Derivation of the Quasiperiodic Melnikov Functions from Chapter 4.- References.

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