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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.
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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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Chaotic Transport in Dynamical Systems (Interdisciplinary Applied Mathematics)
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Chaotic Transport in Dynamical Systems
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Springer New York, Springer US, 2010
ISBN 10: 1441930965
ISBN 13: 9781441930965
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9781441930965
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