Overview

This volume covers the spectrum of research involved in combining symmetry methods with dynamical systems and bifurcation theory, from the development of the 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.

Full Product Details

Author:   J. M. Chadam ,  M. Golubitsky ,  William Langford ,  Brian Wetton
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 5
Weight:   0.850kg
ISBN:  

9780821802564

ISBN 10:   0821802569
Pages:   358
Publication Date:   30 December 1995
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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Table of Contents

Towards analyzing the dynamics of flames by D. Armbruster, E. F. Stone, and R. W. Heiland Symmetries in modulated traveling waves in combustion: Jumping ponies on a merry-go-round by A. Bayliss, B. J. Matkowsky, and H. Riecke Modulated traveling waves for the Kuramoto-Sivashinsky equation by H. S. Brown and I. G. Kevrekidis Length scales in phase transition models: Phase field, Cahn-Hilliard, and blow-up problems by G. Caginalp Veronese and the detectives: Finding the symmetry of attractors by D. R. J. Chillingworth $D_4$-symmetric maps with hidden Euclidean symmetry by J. D. Crawford Modelling travelling waves of spatial patterning in morphogenesis by G. C. Cruywagen Analysis of models of pancreatic$\beta$-cells exhibiting temporal pattern formation by G. de Vries, R. M. Miura, and M. C. Pemarowski Translating patterns in a generalized Ginzburg-Landau amplitude equation by J. Duan Geometric methods in bifurcation theory by M. J. Field Secondary Hopf bifurcation caused by steady-state steady-state mode interaction by K. Gatermann and B. Werner Symmetry breaking bifurcations in spherical Benard convection. Part I: Results from singularity theory by C. Geiger, G. Dangelmayr, J. D. Rodriguez, and W. Guttinger Symmetry breaking bifurcations in spherical Benard convection. Part II: Numerical results by J. D. Rodriguez, C. Geiger, G. Dangelmayr, and W. Guttinger On a dynamical model for phase transformation in nonlinear elasticity by W. D. Kalies and P. J. Holmes System symmetry breaking and Shilnikov dynamics by E. Knobloch Generalizations of a result on symmetry groups of attractors by I. Melbourne Instabilities induced by differential flows by M. Menzinger and A. B. Rovinsky Self-organized zoning in crystals: Free boundaries, matched asymptotics, and bifurcation by P. Ortoleva Some aspects of successive bifurcations in the Couette-Taylor problem by J. K. Scheurle Bifurcating waves in coupled cells described by delay-differential equations by J. H. Wu.

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