Chaotic Transport in Dynamical Systems

1. Front Matter

   Pages i-xiii

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2. Introduction and Examples

   • Stephen Wiggins

   Pages 1-15

3. Transport in Two-Dimensional Maps: General Principles and Results

   • Stephen Wiggins

   Pages 17-79

4. Convective Mixing and Transport Problems in Fluid Mechanics

   • Stephen Wiggins

   Pages 81-120

5. Transport in Quasiperiodically Forced Systems: Dynamics Generated by Sequences of Maps

   • Stephen Wiggins

   Pages 121-191

6. Markov Models

   • Stephen Wiggins

   Pages 193-208

7. Transport in к-Degree-of-Freedom Hamiltonian Systems, 3 ≤ к < ∞: The Generalization of Separatrices to Higher Dimensions and Their Geometrical Structure

   • Stephen Wiggins

   Pages 209-271

8. Back Matter

   Pages 273-301

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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 Poincaré 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.

• dynamical systems
• dynamics
• fluid mechanics
• hamiltonian system
• mechanics

• Applied Mechanics Department, California Institute of Technolgy, Pasadena, USA

  Stephen Wiggins

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