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Pattern Formation: Symmetry Methods and Applications

Edited by: John Chadam The Fields Institute, Toronto, ON, Canada
Martin Golubitsky University of Houston, Houston, TX
William Langford University of Guelph, Guelph, ON, Canada
Brian Wetton University of British Columbia, Vancouver, BC, Canada
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN: 978-0-8218-0256-4
Product Code: FIC/5
List Price: $134.00 MAA Member Price:$120.60
AMS Member Price: $107.20 Electronic ISBN: 978-1-4704-2973-7 Product Code: FIC/5.E List Price:$126.00
MAA Member Price: $113.40 AMS Member Price:$100.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $201.00 MAA Member Price:$180.90
AMS Member Price: $160.80 Click above image for expanded view Pattern Formation: Symmetry Methods and Applications Edited by: John Chadam The Fields Institute, Toronto, ON, Canada Martin Golubitsky University of Houston, Houston, TX William Langford University of Guelph, Guelph, ON, Canada Brian Wetton University of British Columbia, Vancouver, BC, Canada A co-publication of the AMS and Fields Institute Available Formats:  Hardcover ISBN: 978-0-8218-0256-4 Product Code: FIC/5  List Price:$134.00 MAA Member Price: $120.60 AMS Member Price:$107.20
 Electronic ISBN: 978-1-4704-2973-7 Product Code: FIC/5.E
 List Price: $126.00 MAA Member Price:$113.40 AMS Member Price: $100.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$201.00 MAA Member Price: $180.90 AMS Member Price:$160.80
• Book Details

Fields Institute Communications
Volume: 51996; 358 pp
MSC: Primary 35; Secondary 80; 92; 58;

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.

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.

Research mathematicians.

• Chapters
• Dieter Armbruster, Emily Stone and Randy Heiland - Towards analyzing the dynamics of flames
• Alvin Bayliss, Bernard Matkowsky and Hermann Riecke - Symmetries in modulated traveling waves in combustion: Jumping ponies on a merry-go-round
• H. Brown and I. Kevrekidis - Modulated traveling waves for the Kuramoto-Sivashinsky equation
• Gunduz Caginalp - Length scales in phase transition models: Phase field, Cahn-Hilliard, and blow-up problems
• David Chillingworth - Veronese and the detectives: Finding the symmetry of attractors
• John Crawford - $D_4$-symmetric maps with hidden Euclidean symmetry
• G. Cruywagen - Modelling travelling waves of spatial patterning in morphogenesis
• Gerda de Vries, Robert Miura and Mark Pernarowski - Analysis of models of pancreatic$\beta$-cells exhibiting temporal pattern formation
• Jinqiao Duan - Translating patterns in a generalized Ginzburg-Landau amplitude equation
• Michael Field - Geometric methods in bifurcation theory
• Karin Gatermann and Bodo Werner - Secondary Hopf bifurcation caused by steady-state steady-state mode interaction
• C. Geiger, Gerhard Dangelmayr, John Rodriguez and Werner Guttinger - Symmetry breaking bifurcations in spherical Benard convection. Part I: Results from singularity theory
• John Rodriguez, C. Geiger, Gerhard Dangelmayr and Werner Guttinger - Symmetry breaking bifurcations in spherical Benard convection. Part II: Numerical results
• William Kalies and Philip Holmes - On a dynamical model for phase transformation in nonlinear elasticity
• E Knobloch - System symmetry breaking and Shil’nikov dynamics
• Ian Melbourne - Generalizations of a result on symmetry groups of attractors
• M. Menzinger and A. Rovinsky - Instabilities induced by differential flows
• P Ortoleva - Self-organized zoning in crystals: Free boundaries, matched asymptotics, and bifurcaton
• Jurgen Scheurle - Some aspects of successive bifurcations in the Couette-Taylor problem
• J Wu - Bifurcating waves in coupled cells described by delay-differential equations
• Request Review Copy
Volume: 51996; 358 pp
MSC: Primary 35; Secondary 80; 92; 58;

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.

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.

Research mathematicians.

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