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math.DS2019
Bifurcations of symmetric periodic orbits via Floer homology
Joontae Kim, Seongchan Kim, Myeonggi Kwon
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…
math.DS2017★ 2 cited
-like invariants of periodic orbits of the second kind in the restricted three body problem
Joontae Kim, Seongchan Kim
We determine three invariants: Arnold's -invariant as well as and invariants, which were introduced by Cieliebak-Frauenfelder-van Koert, of per…