Bifurcation et brisure forcée de symétrie dans les systèmes hamiltoniens

Féthi Grabsi; James Montaldi; Juan Pablo Ortega

doi:10.1016/j.crma.2004.01.029

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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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. © 2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.

Translated title of the contribution	Bifurcation and forced symmetry breaking in Hamiltonian systems
Original language	French
Pages (from-to)	565-570
Number of pages	5
Journal	Académie des Sciences. Comptes Rendus. Mathématique
Volume	338
Issue number	7
DOIs	https://doi.org/10.1016/j.crma.2004.01.029
Publication status	Published - 1 Apr 2004

Keywords

Symmetry breaking, relative equilibria

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title = "Bifurcation et brisure forc{\'e}e de sym{\'e}trie dans les syst{\`e}mes hamiltoniens",

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. {\textcopyright} 2004 Acad{\'e}mie des sciences. Published by Elsevier SAS. All rights reserved.",

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AB - 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.

KW - Symmetry breaking, relative equilibria

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JO - Académie des Sciences. Comptes Rendus. Mathématique

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Bifurcation et brisure forcée de symétrie dans les systèmes hamiltoniens

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