Fields Institute Communications 1996; 358 pp; hardcover Volume: 5 ISBN10: 0821802569 ISBN13: 9780821802564 List Price: US$120 Member Price: US$96 Order Code: FIC/5
 This volume contains the proceedings of two related workshops held at The Fields Institute in February and March 1993. The workshops were an integral part of the thematic year in Dynamical Systems and Bifurcation Theory held during the 19921993 academic year. This volume covers the full spectrum of research involved in combining symmetry methods with dynamical systems and bifurcation theory, from the development of the mathematical theory in order to understand the underlying mechanisms to the application of this new mathematical theory, to partial differential equation models of realistic physical phenomena. The individual contributions show the richness of the interplay between abstract methods and significant, essential examples. Features:  Paper by Mike Field summarizing the content of the minicourse that he presented on the geometric analysis of symmetry breaking for compact Lie groups.
Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). Readership Research mathematicians. Table of Contents  D. Armbruster, E. F. Stone, and R. W. Heiland  Towards analyzing the dynamics of flames
 A. Bayliss, B. J. Matkowsky, and H. Riecke  Symmetries in modulated traveling waves in combustion: Jumping ponies on a merrygoround
 H. S. Brown and I. G. Kevrekidis  Modulated traveling waves for the KuramotoSivashinsky equation
 G. Caginalp  Length scales in phase transition models: Phase field, CahnHilliard, and blowup problems
 D. R. J. Chillingworth  Veronese and the detectives: Finding the symmetry of attractors
 J. D. Crawford  \(D_4\)symmetric maps with hidden Euclidean symmetry
 G. C. Cruywagen  Modelling travelling waves of spatial patterning in morphogenesis
 G. de Vries, R. M. Miura, and M. C. Pernarowski  Analysis of models of pancreatic\(\beta\)cells exhibiting temporal pattern formation
 J. Duan  Translating patterns in a generalized GinzburgLandau amplitude equation
 M. J. Field  Geometric methods in bifurcation theory
 K. Gatermann and B. Werner  Secondary Hopf bifurcation caused by steadystate steadystate mode interaction
 C. Geiger, G. Dangelmayr, J. D. Rodriguez, and W. Guttinger  Symmetry breaking bifurcations in spherical Benard convection. Part I: Results from singularity theory
 J. D. Rodriguez, C. Geiger, G. Dangelmayr, and W. Guttinger  Symmetry breaking bifurcations in spherical Benard convection. Part II: Numerical results
 W. D. Kalies and P. J. Holmes  On a dynamical model for phase transformation in nonlinear elasticity
 E. Knobloch  System symmetry breaking and Shil'nikov dynamics
 I. Melbourne  Generalizations of a result on symmetry groups of attractors
 M. Menzinger and A. B. Rovinsky  Instabilities induced by differential flows
 P. Ortoleva  Selforganized zoning in crystals: Free boundaries, matched asymptotics, and bifurcaton
 J. K. Scheurle  Some aspects of successive bifurcations in the CouetteTaylor problem
 J. H. Wu  Bifurcating waves in coupled cells described by delaydifferential equations
