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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Linking options:
  • https://www.mathnet.ru/eng/vmumm4417
  • https://www.mathnet.ru/eng/vmumm/y2021/i4/p48
    • This publication is cited in the following 3 articles:
    1. G. V. Belozerov, A. T. Fomenko, “Orbital invariants of billiards and linearly integrable geodesic flows”, Sb. Math., 215:5 (2024), 573–611  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. G. V. Belozerov, A. T. Fomenko, “Rotation Functions of Integrable Billiards As Orbital Invariants”, Dokl. Math., 2024  crossref
    3. A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrable systems”, Russian Math. Surveys, 78:5 (2023), 881–954  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :37
    References:40
    First page:7
     
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