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Periodic points of quasianalytic Hamiltonian billiards

M. Novitskii·Yu. Safarov
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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.

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M. Novitskii, Yu. Safarov. 2001-10-12. Periodic points of quasianalytic Hamiltonian billiards. https://arxiv.org/abs/math/0110134

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