Lectures on Bifurcations, Dynamics and Symmetry

Lectures on Bifurcations, Dynamics and Symmetry

Field, Michael

Taylor & Francis Ltd

12/2020

168

Dura

Inglês

9781138417649

15 a 20 dias

470

Descrição não disponível.
Chapter 1. Introduction & preliminaries, Chapter 2. Hyperoctahedral groups, Chapter 3. A zoo of bifurcations, Chapter 4. Stability and determinacy, Chapter 5. The invariant sphere theorem, Chapter 6. Heteroclinic cycles in equivariant bifurcations, Chapter 7. Symmetrically coupled cell systems, Chapter 8. An example of Z2-transversality in a system of four coupled oscillators, Chapter 9. Geometric methods, Appendix A. Converse to the MISC, Hints and solutions to selected exercises, Bibliography, Index
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Fixed Point Subspaces;symmetry breaking;Finite Reflection Group;dynamical systems;Isotropy Type;mathematicians;Hopf Bifurcation;original lectures;Invariant Manifolds;bifurcation theory;Semialgebraic Sets;Transitive Subgroup;Fixed Point Space;Hyperbolic Saddle;Unstable Manifolds;Invariant Subspaces;Asymptotic Stability;Vector Field;Floquet Multipliers;Limit Cycles;Face Cycles;Isotropy Subgroup;Absolutely Irreducible;Hyperbolic Equilibria;Finite Dimensional Real Vector Space;Internal Symmetry Group;Invariant Sphere;Wreath Product;Compact Invariant Subset;Homogeneous Polynomial Map