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arxiv: math/0102091 · v1 · submitted 2001-02-12 · 🧮 math.DS · math.SG

Hamiltonian Hopf bifurcation with symmetry

classification 🧮 math.DS math.SG
keywords bifurcationhamiltonianhopfsymmetryappearancebranchescompactdissipative
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In this paper we study the appearance of branches of relative periodic orbits in Hamiltonian Hopf bifurcation processes in the presence of compact symmetry groups that do not generically exist in the dissipative framework. The theoretical study is illustrated with several examples.

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