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 Poincare 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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