Geometry and dynamics of billiards in symmetric phase space

Sergey V. Naydenov; Vladimir V. Yanovsky

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arXiv · nlin/0202002

Geometry and dynamics of billiards in symmetric phase space

Sergey V. Naydenov·Vladimir V. Yanovsky

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Abstract

The billiard problem of statistical physics is considered in a new geometric approach with a symmetric phase space. The structure and topological features of typical billiard phase portrait are defined. The connection between geometric, dynamic and statistic properties of smooth billiard is established. Other directions of the theory on development are pointed out.

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Sergey V. Naydenov, Vladimir V. Yanovsky. 2002-02-01. Geometry and dynamics of billiards in symmetric phase space. https://arxiv.org/abs/nlin/0202002

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