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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.
List of contents
Foreword by the Editors.- Organizing Committee.- Invited Speakers.- Invited Lectures.- Symmetry-Breaking as an Origin of Species.- Bifurcation and Planar Pattern Formation for a Liquid Crystal.- Patchwork Patterns: Dynamics on Unbounded Domains.- Persistent Ergodicity and Stably Ergodic SRB Attractors in Equivariant Dynamics.- Bistability of Vortex Modes in Annular Thermoconvection.- Secondary Instabilities of Hexagons: A Bifurcation Analysis of Experimentally Observed Faraday Wave Patterns.- Contributed Papers.- Spatially Resonant Interactions in Annular Convection.- Hopf Bifurcations on Cubic Lattices.- Normal Forms of Dynamical Systems and Bifurcations.- One-dimensional Pattern Formation in Systems with a Conserved Quantity.- Invariance and Symmetry in a Year-class Model.- The Accumulation of Boundary Doubling for Modified Tent Maps.- Piecewise Rotations: Bifurcations, Attractors and Symmetries.- Bound States of Asymmetric Hot Spots in Solid Flame Propagation.- Pattern Formation with Galilean Symmetry.- Semigroups of Functions and the Structure of Stationary Measures in Systems which Contract-on-average.- Rayleigh-Bénard Convection with Experimental Boundary Conditions.- Global Bifurcations in FitzHugh-Nagumo Model.- List of Contributors.- List of Participants.
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.
