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Chaotic transport in dynamical systems : with 116 illustrations
Autor: Wiggins, Stephen
Rok: c1992
ISBN: 9780387975221
OKCZID: 110073680
Citace (dle ČSN ISO 690):
WIGGINS, Stephen. Chaotic transport in dynamical systems: with 116 illustrations. New York: Springer, c1992, 301 s. Interdisciplinary applied mathematics, Vol. 2. ISBN 0-387-97522-5.
Anotace
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.