Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 4, Pages 22–28 (Mi vmumm557)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

Fomenko–Zieschang invariants of topological billiards bounded by confocal parabolas

V. V. Vedyushkina

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (461 kB) Citations (4)
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Abstract: A topological (Liouville) classification of integrable billiards in locally flat compact domains bounded by arcs of confocal parabolas is obtained using methods of the Fomenko–Zieschang theory on invariants of integrable systems.
Key words: integrable system, billiard, Liouville equivalence, Fomenko–Zieschang invariant.
Funding agency Grant number
Russian Foundation for Basic Research 16–01–00378-а
Ministry of Education and Science of the Russian Federation НШ 6399.2018.1
Received: 22.12.2017
English version:
Moscow University Mathematics Bulletin, 2018, Volume 73, Issue 4, Pages 150–155
DOI: https://doi.org/10.3103/S0027132218040046
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: V. V. Vedyushkina, “Fomenko–Zieschang invariants of topological billiards bounded by confocal parabolas”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 4, 22–28; Moscow University Mathematics Bulletin, 73:4 (2018), 150–155
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/vmumm/y2018/i4/p22
    • This publication is cited in the following 4 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. Anatoly T. Fomenko, Vladislav A. Kibkalo, “Topology of Liouville foliations of integrable billiards on table-complexes”, European Journal of Mathematics, 8:4 (2022), 1392  crossref
    3. V. V. Vedyushkina (Fokicheva), A. T. Fomenko, “Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards”, Izv. Math., 83:6 (2019), 1137–1173  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. A. T. Fomenko, V. V. Vedyushkina, “Billiards and integrability in geometry and physics. New scope and new potential”, Moscow University Mathematics Bulletin, 74:3 (2019), 98–107  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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