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arXiv · 2205.10659

Realization of bifurcations of Liouville foliations for integrable billiards in non-convex domains

Viktor Moskvin
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Abstract

A billiard is a dynamical system in which a particle alternates between motion in a straight line and specular reflection from a boundary. For billiards in non-convex areas bounded by segments of confocal quadrics are studied. The topology of 3-dimmensional bifurcations of Liouville foliations is described.

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Viktor Moskvin. 2022-05-21. Realization of bifurcations of Liouville foliations for integrable billiards in non-convex domains. https://arxiv.org/abs/2205.10659

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