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2005.10: Bifurcation and forced symmetry breaking in Hamiltonian systems

2005.10: F Grabsi, J Montaldi and J-P Ortega (2004) Bifurcation and forced symmetry breaking in Hamiltonian systems. C.R. Acad. Sci. Paris, Ser. I, 338 (7). pp. 565-570. ISSN 1631-073X

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DOI: 10.1016/j.crma.2004.01.029

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 .

Item Type:Article
Uncontrolled Keywords:Hamiltonian systems, symmetry breaking
Subjects:MSC 2000 > 37 Dynamical systems and ergodic theory
MIMS number:2005.10
Deposited By:Dr James Montaldi
Deposited On:26 October 2005

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