Grabsi, Fethi and Montaldi, James and Ortega, Juan-Pablo (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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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 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory |
| Depositing User: | Dr James Montaldi |
| Date Deposited: | 26 Oct 2005 |
| Last Modified: | 27 Oct 2017 14:49 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/18 |
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