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Hamiltonian Hopf Bifurcation with Symmetry

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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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Authors and Affiliations

  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

    Pascal Chossat & Juan-Pablo Ortega

  2. Institut Bernoulli¶École Polytechnique Fédérale de Lausanne¶1015 Lausanne, Switzerland¶e-mail: Tudor.Ratiu@epfl.ch, , , , , , CH

    Tudor S. Ratiu

Authors
  1. Pascal Chossat
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  2. Juan-Pablo Ortega
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  3. Tudor S. Ratiu
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Accepted September 4, 2001¶Published online April 11, 2002

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Chossat, P., Ortega, JP. & Ratiu, T. Hamiltonian Hopf Bifurcation with Symmetry. Arch. Rational Mech. Anal. 163, 1–33 (2002). https://doi.org/10.1007/s002050200182

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  • DOI: https://doi.org/10.1007/s002050200182

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