Periodic points of quasianalytic Hamiltonian billiards

Details Periodic points of quasianalytic Hamiltonian billiards Periodic points of quasianalytic Hamiltonian billiards

2001-10-12

arxiv.org/abs/math/0110134v1

Preprint, 1999

Mathematics

Spectral Theory

Scientific paper

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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