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＜電子ブック＞
Chaotic Transport in Dynamical Systems / by Stephen Wiggins
(Interdisciplinary Applied Mathematics. ISSN:21969973 ; 2)

版	1st ed. 1992.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1992
本文言語	英語
大きさ	XIII, 301 p : online resource
著者標目	*Wiggins, Stephen author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:System theory LCSH:Mathematical physics FREE:Analysis FREE:Complex Systems FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-1-4757-3896-4

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