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Provides a new and more realistic framework for describing the dynamics of nonlinear 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 timeperiodic perturbations of planar Hamiltonian systems, the book begins with the study of transport in the associated twodimensional Poincar Map. This serves as a starting point for the further motivation of the transport issues through the development of ideas in a nonperturbative 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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