Persistence of Hamiltonian relative periodic orbits

[摘要] 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. (C) 2003 Elsevier Science B.V. All rights reserved.

[发布日期] 2003-11-01

[关键词] persistence;relative periodic orbits;equivariant Hamiltonian systems;non-compact groups