MA3J3 Bifurcations, Catastrophes and Symmetry
A discussion of bifurcations for equivariant maps is given in Chossat and Golubitsky Jeff Moehlis and Edgar Knobloch , Scholarpedia, 2 9 Jump to: navigation , search. Post-publication activity Curator: Edgar Knobloch Contributors:. Sponsored by: Eugene M.
- The Reduction of Equivariant Dynamics to the Orbit Space for Compact Group Actions.
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Categories : Dynamical Systems Multiple Curators. Namespaces Page Discussion. Gonnet, D. Hare, D. Jeffrey et al. Hopf-hopf mode interactions with o 2 symmetry. Dynamical Systems , pp. Chossat and. Coombes and.
Coombes , Waves, bumps, and patterns in neural field theories , Biological Cybernetics , vol. Coombes, L. Venkov, I.
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Veltz-[-cyb]-s, Y. Campbell, S. Yuan, and. Bungay , Equivariant hopf bifurcation in a ring of identical cells with delayed coupling , Nonlinearity , vol. Die95 and. Diekmann , Delay equations: functional-, complex-, and nonlinear analysis , Dangelmayr and. Knobloch , Hopf bifurcation with broken circular symmetry , Nonlinearity , vol.
Methods in Equivariant Bifurcations and Dynamical Systems
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Grimbert, and J. Guckenheimer and. Iooss and M. Adelmeyer , Topics in Bifurcation Theory and Applications , Golubitsky and. Golubitsky and I. Stewart , Hopf bifurcation in the presence of symmetry. Archive for Rational Mechanics and Analysis , pp. Golubitsky, D. Stewart, and. The book has two aims. One is to expound the mathematical methods of equivariant bifurcation theory.
Methods In Equivariant Bifurcations And Dynamical Systems : Pascal Chossat :
Beyond the classical bifurcation tools, such as center manifold and normal form reductions, the presence of symmetry requires the introduction of the algebraic and geometric formalism of Lie group theory and transformation group methods. For the first time, all these methods in equivariant bifurcations are presented in a coherent and self-consistent way in a book. The other aim is to present the most recent ideas and results in this theory, in relation to applications. This includes bifurcations of relative equilibria and relative periodic orbits for compact and noncompact group actions, heteroclinic cycles and forced symmetry-breaking perturbations.
Although not all recent contributions could be included and a choice had to be made, a rather complete description of these new developments is provided. At the end of every chapter, exercises are offered to the reader. Product details Format Hardback pages Dimensions Other books in this series.
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