Bifurcation and forced symmetry breaking in Hamiltonian systems

Details Bifurcation and forced symmetry breaking in Hamiltonian systems Bifurcation and forced symmetry breaking in Hamiltonian systems

2003-12-18

arxiv.org/abs/math/0312356v2

Mathematics

Dynamical Systems

6 pages, 1 figure. To appear in C. R. Acad. Sci. Paris S\'er. I Math

Scientific paper

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.

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