. SP ] 1 2 O ct 2 00 1 PERIODIC POINTS OF QUASIANALYTIC HAMILTONIAN BILLIARDS

  • M. Novitskii, Yu. Safarov
  • Published 1999

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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