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|
|Number of pages||5|
|Journal||Académie des Sciences. Comptes Rendus. Mathématique|
|Publication status||Published - 1 Apr 2004|
- Symmetry breaking, relative equilibria