Fields Institute Monographs 1993; 155 pp Volume: 1 ISBN10: 0821892029 ISBN13: 9780821892022 List Price: US$47 Member Price: US$37.60 Order Code: FIM/1
 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 copublished 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 twodimensional, timeperiodic vector fields
 Transport in cellular flows
 Homoclinic tangles and transport in twodimensional, timequasiperiodic 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
