Bifurcation and forced symmetry breaking in Hamiltonian systems |
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| Authors: | Féthi Grabsi James Montaldi Juan-Pablo Ortega |
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| Institution: | 1. Institut non linéaire de Nice, UMR 129 CNRS-UNSA, 1361 route des Lucioles, 06560 Valbonne, France;2. Department of Mathematics. UMIST, PO Box 88, Manchester M60 1QD, United Kingdom;3. Centre national de la recherche scientifique, département de mathématiques de Besançon, Université de Franche-Comté, 16, route de Gray, 25030 Besançon cedex, France |
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| Abstract: | We consider the phenomenon of forced symmetry breaking in a symmetric Hamiltonian system on a symplectic manifold. In particular we study the persistence of an initial relative equilibrium subjected to this forced symmetry breaking. We see that, under certain nondegeneracy conditions, an estimate can be made on the number of bifurcating relative equilibria. To cite this article: F. Grabsi et al., C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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