This article is cited in 2 papers

Mathematics

Algorithmic construction of two-dimensional singular layers of billiard atoms in non-convex domains

V. A. Moskvin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Flat billiards in not-convex areas bounded by segments of confocal quadrics are studied. The topology of 2-dimensional layers of Fomenko's atoms is studied and a constructing algorithm is presented.

Key words: billiard, integrable systems, Fomenko's invariant, Liouville's foliation.

UDC: 154

Received: 19.06.2019

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2020, 75:3, 91–101

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