Persistence of Hamiltonian relative periodic orbits
Claudia Wulff (Warwick, Surrey, FU Berlin)
Abstract: We prove a persistence result for Hamiltonian relative
periodic orbits with generic drift-momentum pairs in the case of non-compact
non-free group actions.
Our starting point is a relative periodic orbit which is non-degenerate
modulo isotropy. We show that
the analysis of the
persistence problem involves the study of a singular algebraic
variety, the space of drift-momentum pairs, which is determined
solely by the symmetry group of the problem.
We apply our results to relative periodic
solutions of deformable bodies in fluids.