Pattern Formation

, by Chadam, John; Golubitsky, Martin; Langford, William; Wetton, Brian

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ISBN: 9780821802564 | 0821802569
Cover: Hardcover
Copyright: 11/1/1995

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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.

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Towards analyzing the dynamics of flames
Symmetries in modulated traveling waves in combustion: Jumping ponies on a merry-go-round
Modulated traveling waves for the Kuramoto-Sivashinsky equation
Length scales in phase transition models: Phase field, Cahn-Hilliard, and blow-up problems
Veronese and the detectives: Finding the symmetry of attractors
$D_4$-symmetric maps with hidden Euclidean symmetry
Modelling travelling waves of spatial patterning in morphogenesis
Analysis of models of pancreatic$\beta$-cells exhibiting temporal pattern formation
Translating patterns in a generalized Ginzburg-Landau amplitude equation
Geometric methods in bifurcation theory
Secondary Hopf bifurcation caused by steady-state steady-state mode interaction
Symmetry breaking bifurcations in spherical Benard convection. Part I: Results from singularity theory
Symmetry breaking bifurcations in spherical Benard convection. Part II: Numerical results
On a dynamical model for phase transformation in nonlinear elasticity
System symmetry breaking and Shilnikov dynamics
Generalizations of a result on symmetry groups of attractors
Instabilities induced by differential flows
Self-organized zoning in crystals: Free boundaries, matched asymptotics, and bifurcaton
Some aspects of successive bifurcations in the Couette-Taylor problem
Bifurcating waves in coupled cells described by delay-differential equations
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Pattern Formation

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