Stephen Wiggins

Chaotic Transport in Dynamical Systems (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 301
• Erscheinungstermin: 9. April 2013
• Englisch
• ISBN-13: 9781475738964
• Artikelnr.: 44177503

Autorenporträt

S. Wiggins presents a new and more realistic framework for describing the dynamics of non-linear systems. A number of transport problems in dynamical systems is reduced to a mathematical model. This book is a timely and important contribution to those concerned with the applications of mathematics.

Inhaltsangabe

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.