Bifurcation, Symmetry and Patterns

by Buescu, Jorge; Buescu, Jorge; Castro, Sofia; Dias, Ana Paula; Labouriau, Isabel S.

• ISBN13: 9783764370206
• ISBN10: 3764370203
• Format: Hardcover
• Copyright: 2003-07-01
• Publisher: Springer Verlag

Summary

This book represents the latest developments on both the theory and applications of bifurcations with symmetry. It includes recent experimental work as well as new approaches to and applications of the theory to other sciences. It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics.

Table of Contents

Foreword
Organizing Committee
Invited Speakers
Symmetry-Breaking as an Origin of Species	p. 3
Bifurcation and Planar Pattern Formation for a Liquid Crystal	p. 55
Patchwork Patterns: Dynamics on Unbounded Domains	p. 67
Persistent Ergodicity and Stably Ergodic SRB Attractors in Equivariant Dynamics	p. 75
Bistability of Vortex Modes in Annular Thermoconvection	p. 87
Secondary Instabilities of Hexagons: A Bifurcation Analysis of Experimentally Observed Faraday Wave Patterns	p. 101
Spatially Resonant Interactions in Annular Convection	p. 117
Hopf Bifurcations on Cubic Lattices	p. 123
Normal Forms of Dynamical Systems and Bifurcations	p. 129
One-dimensional Pattern Formation in Systems with a Conserved Quantity	p. 135
Invariance and Symmetry in a Year-class Model	p. 141
The Accumulation of Boundary Doubling for Modified Tent Maps	p. 151
Piecewise Rotations: Bifurcations, Attractors and Symmetries	p. 157
Bound States of Asymmetric Hot Sots in Solid Flame Propagation	p. 167
Pattern Formation with Galilean Symmetry	p. 175
Semigroups of Functions and the Structure of Stationary Measures in Systems which Contract-on-average	p. 181
Rayleigh-Benard Convection with Experimental Boundary Conditions	p. 189
Global Bifurcations in FitzHugh-Nagumo Model	p. 197
List of Contributors	p. 203
List of Participants	p. 205
Table of Contents provided by Blackwell. All Rights Reserved.