Abstract
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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have