Persistence of Hamiltonian relative periodic orbits

✍ Scribed by Claudia Wulff

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 308 KB
• Volume: 48
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(03)00046-9

✦ Synopsis

We prove a persistence result for Hamiltonian relative periodic orbits with generic driftmomentum 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.