| Chaotic Transport in Dynamical Systems 1992 Edition Contributor(s): Wiggins, Stephen (Author) |
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ISBN: 0387975225 ISBN-13: 9780387975221 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: December 1991 Annotation: 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 PoincarA(c) 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Mathematical Analysis - Science | Physics - Mathematical & Computational |
| Dewey: 515.352 |
| LCCN: 91033052 |
| Series: Mathematical Sciences Research Institute Publications |
| Physical Information: 0.75" H x 6.14" W x 9.21" (1.38 lbs) 301 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 Poincar 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. |