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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.
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Chaotic Transport in Dynamical Systems, Stephen Wiggins
- Language
- Released
- 2010
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- Title
- Chaotic Transport in Dynamical Systems
- Language
- English
- Authors
- Stephen Wiggins
- Publisher
- Springer New York
- Publisher
- 2010
- Format
- Paperback
- Pages
- 316
- ISBN13
- 9781441930965
- Category
- Mathematics, Nature in general
- Description
- 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.