Hamiltonian Hopf bifurcation with symmetry
Dynamical Systems
2009-11-07 v1 Symplectic Geometry
Abstract
In this paper we study the appearance of branches of relative periodic orbits in Hamiltonian Hopf bifurcation processes in the presence of compact symmetry groups that do not generically exist in the dissipative framework. The theoretical study is illustrated with several examples.
Keywords
Cite
@article{arxiv.math/0102091,
title = {Hamiltonian Hopf bifurcation with symmetry},
author = {Pascal Chossat and Juan-Pablo Ortega and Tudor S. Ratiu},
journal= {arXiv preprint arXiv:math/0102091},
year = {2009}
}
Comments
35 pages, 3 figures