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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021 Number 4, Pages 48–51 (Mi vmumm4417)

This article is cited in 3 papers

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Orbital invariants of flat billiards bounded by arcs of confocal quadrics and containing focuses

V. V. Vedyushkina

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Rotation functions for flat billiards bounded by arcs of confocal quadrics and containing focuses are calculated. The orbital Bolsinov–Fomenko invariants of these dynamical systems are also calculated.

Key words: integrable system, billiard, Liouville equivalence, Fomenko–Zieschang invariant, orbital equivalence.

UDC: 517.938.5

Received: 08.11.2019


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2021, 76:4, 177–180

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© Steklov Math. Inst. of RAS, 2024