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Chaotic Transport in Dynamical Systems
Buch von Stephen Wiggins
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1991
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Interdisciplinary Applied Mathematics
Inhalt: xiii
301 S.
ISBN-13: 9780387975221
ISBN-10: 0387975225
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Wiggins, Stephen
Hersteller: Springer New York
Springer US, New York, N.Y.
Interdisciplinary Applied Mathematics
Maße: 241 x 160 x 22 mm
Von/Mit: Stephen Wiggins
Erscheinungsdatum: 18.12.1991
Gewicht: 0,647 kg
Artikel-ID: 101855171
Zusammenfassung
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1991
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Interdisciplinary Applied Mathematics
Inhalt: xiii
301 S.
ISBN-13: 9780387975221
ISBN-10: 0387975225
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Wiggins, Stephen
Hersteller: Springer New York
Springer US, New York, N.Y.
Interdisciplinary Applied Mathematics
Maße: 241 x 160 x 22 mm
Von/Mit: Stephen Wiggins
Erscheinungsdatum: 18.12.1991
Gewicht: 0,647 kg
Artikel-ID: 101855171
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