Chaotic Transport in Dynamical Systems

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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.