Pattern formation : symmetry methods and applications
著者
書誌事項
Pattern formation : symmetry methods and applications
（Fields Institute communications, v. 5）
American Mathematical Society, c1996
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内容説明・目次
内容説明
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 1992-1993 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. This book features paper by Mike Field summarizing the content of the mini-course that he presented on the geometric analysis of symmetry breaking for compact Lie groups.
目次
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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