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Hamiltonian Hopf Bifurcation with Symmetry |
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| Authors: | Pascal Chossat Juan-Pablo Ortega Tudor S. Ratiu |
| Affiliation: | 1.Institut Nonlinéaire de Nice?UMR 129, CNRS-UNSA?1361, route des Lucioles?06560 Valbonne, France?e-mail: chossat@inln.cnrs.fr.?e-mail: Juan-Pablo.Ortega@inln.cnrs.fr,FR;2.Institut Bernoulli?école Polytechnique Fédérale de Lausanne?1015 Lausanne, Switzerland?e-mail: Tudor.Ratiu@epfl.ch,CH |
| Abstract: | 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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