S. V. Naydenov, V. V. Yanovskii, A. V. Tur, “Problem of a billiard in symmetric coordinates”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2002, Volume 75, Issue 8,Pages <nobr>499

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METHODS OF THEORETICAL PHYSICS

Problem of a billiard in symmetric coordinates

S. V. Naydenov^a, V. V. Yanovskii^a, A. V. Tur^b

^a Institute for Single Crystals, National Academy of Sciences of Ukraine, Kharkov
^b Centre d'Etude Spatiale des Rayonnements

Abstract: Billiards are an important geometric model in nonlinear physics. A dynamical description of a billiard in symmetric coordinates is proposed. The topological structure of a symmetric phase space and geometric criteria for the stochasticity of billiard systems are determined.

PACS: 05.45.-a, 05.45.Ac, 05.45.Pq, 05.45.Mt

Received: 12.11.2001
Revised: 19.02.2002