Bifurcation et brisure forcée de symétrie dans les systèmes hamiltoniens

Translated title of the contribution: Bifurcation and forced symmetry breaking in Hamiltonian systems

Féthi Grabsi, James Montaldi, Juan Pablo Ortega

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    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. © 2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.
    Translated title of the contributionBifurcation and forced symmetry breaking in Hamiltonian systems
    Original languageFrench
    Pages (from-to)565-570
    Number of pages5
    JournalAcadémie des Sciences. Comptes Rendus. Mathématique
    Issue number7
    Publication statusPublished - 1 Apr 2004


    • Symmetry breaking, relative equilibria


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