Hopf Bifurcation in the presence of symmetry
Copyright policy )Hopf Bifurcation in the presence of symmetry
This note announces a Hopf-bifurcation theorem for ordinary differential equations invariant under the action of a compact symmetry group. Various applications are sketched and references to previous more special results of other authors are given. Detailed proofs and further results are to appear in a paper with the same title (in Arch. Ration. Mech. Anal.).
- University of Houston United States
group theory, 58F22, symmetries, 58F14, compact symmetry group, Local and nonlocal bifurcation theory for dynamical systems, Hopf-bifurcation, example, bifurcation, isotropy subgroups, orthogonal groups, group representations, Periodic solutions to ordinary differential equations, symmetry groups, small-amplitude periodic solutions
group theory, 58F22, symmetries, 58F14, compact symmetry group, Local and nonlocal bifurcation theory for dynamical systems, Hopf-bifurcation, example, bifurcation, isotropy subgroups, orthogonal groups, group representations, Periodic solutions to ordinary differential equations, symmetry groups, small-amplitude periodic solutions
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