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Wiggins

Chaotic Transport in Dynamical Systems

Medium: Buch
ISBN: 978-1-4419-3096-5
Verlag: Springer
Erscheinungstermin: 07.12.2010
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9781441930965
  • Medium: Buch
  • ISBN: 978-1-4419-3096-5
  • Verlag: Springer
  • Erscheinungstermin: 07.12.2010
  • Sprache(n): Englisch
  • Auflage: 1., st Auflage Softcover version of original hardcover Auflage 1992
  • Serie: Interdisciplinary Applied Mathematics
  • Produktform: Kartoniert, Paperback
  • Gewicht: 482 g
  • Seiten: 301
  • Format (B x H x T): 155 x 235 x 18 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.