Chaotic Transport in Dynamical Systems

Focusing on the dynamics of non-linear systems, this monograph introduces a realistic framework for understanding phase space transport issues in applied dynamical systems. It begins with an exploration of transport in two-dimensional Poincaré Maps, addressing time-periodic perturbations of planar Hamiltonian systems. The work progresses to non-perturbative frameworks, expanding concepts to higher dimensions and varied time dependencies. This book is a significant resource for those interested in the mathematical applications within dynamical systems.