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Chaotic Transport in Dynamical Systems

Author: Stephen Wiggins
Publisher: New York, NY : Springer New York, 1992.
Series: Interdisciplinary applied mathematics, 2.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Stephen Wiggins
ISBN: 9781475738964 147573896X
OCLC Number: 851820034
Description: 1 online resource (xiii, 301 pages).
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.
Series Title: Interdisciplinary applied mathematics, 2.
Responsibility: by Stephen Wiggins.

Abstract:

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  Read more...

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