Bifurcations of symmetric periodic orbits via Floer homology.

Autor: Kim, Joontae, Kim, Seongchan, Kwon, Myeonggi
Předmět:
Zdroj: Calculus of Variations & Partial Differential Equations; Jun2020, Vol. 59 Issue 3, p1-23, 23p
Abstrakt: 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 Hénon on Hill's lunar problem. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index