Chaotic transport in dynamical systems. Interdisciplinary applied mathematics ; Volume 2

Wiggins, Stephen:

ISBN 10: 0387975225 / ISBN 13: 9780387975221

Editore: New York ; Berlin ; Heidelberg ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer, 1992

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XIII, 301 S. : graph. Darst. ; 24 cm FRISCHES, SEHR schönes Exemplar der ERSTAUSGABE. We offer a lot of books on PHYSICS and MATHEMATICS on stock in EXCELLENT shape). Sprache: Englisch Gewicht in Gramm: 610.

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Dati bibliografici

• Titolo: Chaotic transport in dynamical systems. Interdisciplinary applied mathematics ; Volume 2
• Editore: New York ; Berlin ; Heidelberg ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest : Springer
• Data di pubblicazione: 1992
• Lingua: Inglese
• ISBN 10: 0387975225
• ISBN 13: 9780387975221
• Rilegatura: Originalpappband.
• Edizione: First edition.
• Condizione: Wie neu
• Cataloghi dei venditori:
  • Mathematik

Descrizione articolo

Riassunto

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.

Contenuti

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.