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.

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