Lectures on Bifurcations, Dynamics and Symmetry
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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
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
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
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