Interdisciplinary Applied Mathematics

Wiggins, Stephen

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.

Details

Published by: Springer

Publication Date: 2010-12-07

Format: Paperback

ISBN-13: 9781441930965

DOI: 10.1007/978-1-4757-3896-4

Dimensions: 235cm x155cm

Pages: 301