Bifurcations of symmetric periodic orbits via Floer homology

Autor:	Kim, Joontae, Kim, Seongchan, Kwon, Myeonggi
Rok vydání:	2019
Předmět:	Mathematics - Dynamical Systems Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	We give criteria for the existence of bifurcations of symmetric periodic orbits in reversible Hamiltonian systems in terms of local equivariant Lagrangian Rabinowitz Floer homology. As an example, we consider the family of the direct circular orbits in the rotating Kepler problem and observe bifurcations of torus-type orbits. Our setup is motivated by numerical work of H\'enon on Hill's lunar problem. Comment: 23 pages, 5 figures; v3. minor corrections; To appear in Calculus of Variations and Partial Differential Equations
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1909.05351 Zobrazit plný text záznamu View this record from Arxiv