This monograph, which grew out of a series of lectures delivered by Stephen Wiggins at the Fields Institute in early 1993, is concerned with the geometrical viewpoint of the global dynamics of nonlinear dynamical systems. With appropriate examples and concise explanations, Wiggins unites many different topics into one volume and makes a unique contribution to the field. Engineers, physicists, chemists, and mathematicians who work on issues related to the global dynamics of nonlinear dynamical systems will find these lectures very useful.

Titles in this series are co-published with The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Graduate to research level applied mathematicians, engineers, physicists, and chemists who work on issues related to global dynamics of nonlinear dynamical systems.

Table of Contents

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