Periodic points of quasianalytic Hamiltonian billiards
Spectral Theory
2007-05-23 v1 Symplectic Geometry
Abstract
We study absolutely periodic points and trajectories of Hamiltonian systems. Our main result is a necessary and sufficient for a Hamiltonian system to have the following property: if there exists one absolutely periodic trajectory then all trajectories are periodic with the same period.
Cite
@article{arxiv.math/0110134,
title = {Periodic points of quasianalytic Hamiltonian billiards},
author = {M. Novitskii and Yu. Safarov},
journal= {arXiv preprint arXiv:math/0110134},
year = {2007}
}