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Global Dynamics, Phase Space Transport, Orbits Homoclinic to Resonances, and Applications

About this Title

Stephen Wiggins, California Institute of Technology, Pasadena, CA

Publication: Fields Institute Monographs
Publication Year: 1993; Volume 1
ISBNs: 978-0-8218-9202-2 (print); 978-1-4704-3128-0 (online)
DOI: https://doi.org/10.1090/fim/001
MathSciNet review: MR1248378
MSC: Primary 58Fxx; Secondary 34Cxx, 70H05

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Table of Contents

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Front/Back Matter

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Chapters

• Chapter 1. Introduction
• Chapter 2. Homoclinic tangles and transport in two-dimensional, time-periodic vector fields
• Chapter 3. Transport in cellular flows
• Chapter 4. Homoclinic tangles and transport in two-dimensional, time-quasiperiodic vector fields
• Chapter 5. Phase space transport in the quasiperiodically forced Morse oscillator
• Chapter 6. Adiabatic dynamical systems
• Chapter 7. Transport in the eccentric journal bearing flow: An application of adiabatic dynamical systems
• Chapter 8. Orbits homoclinic to resonances: Global analysis and geometric singular perturbation methods