Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 4, Pages 48–51 (Mi vmumm4417)  
This article is cited in 3 scientific papers (total 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
Full-text PDF (2190 kB) Citations (3)
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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.
Funding agency Grant number
Russian Science Foundation 17-11-01303
Received: 08.11.2019
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 4, Pages 177–180
DOI: https://doi.org/10.3103/S0027132221040070
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: V. V. Vedyushkina, “Orbital invariants of flat billiards bounded by arcs of confocal quadrics and containing focuses”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 4, 48–51; Moscow University Mathematics Bulletin, 76:4 (2021), 177–180
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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