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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