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BL
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| Record Number
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621227
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dltt
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| Main Entry
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Wiggins, Stephen.
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| Title & Author
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Chaotic Transport in Dynamical Systems\ by Stephen Wiggins.
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| Publication Statement
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New York, NY :: Springer New York :: Imprint: Springer,, 1992.
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| Series Statement
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Interdisciplinary Applied Mathematics,; 2
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| ISBN
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9781475738964
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: 9781441930965
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| Contents
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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.
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| Abstract
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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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| Subject
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Mathematics.
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| Subject
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Global analysis (Mathematics).
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| Added Entry
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SpringerLink (Online service)
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