V. V. Beletskii, S. N. Berezinskaya, E. I. Kugushev, O. V. Sorokina, “On periodic motions of dynamic billiards”, Keldysh Institute preprints, 2003,014, 27 pp.

On periodic motions of dynamic billiards

V. V. Beletskii, S. N. Berezinskaya, E. I. Kugushev, O. V. Sorokina

Abstract: The Birkhoff theorem about periodic trajectories of mathematical billiards on plane is expanded on to mechanic systems with one-sided relations and dynamic billiards. Also existence of almost periodic motions is investigated for systems of higher dimension.