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

Published 21 May 2022 in math.DS | (2205.10659v1)

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

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