Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 1, Pages 64–68 (Mi vmumm4305)  
This article is cited in 12 scientific papers (total in 12 papers)

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The Liouville foliation of the billiard book modelling the Goryachev–Chaplygin case

V. V. Vedyushkina

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (270 kB) Citations (12)
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Abstract: The Fomenko–Zieshang invariant of an interesting case of an integrable billiard book is calculated and it is shown that such a book models the dynamics of Goryachev–Chaplygin integrable case on a certain isoenergy surface.
Key words: integrable system, billiard, Liouville equivalence, Fomenko–Zieschang invariant.
Funding agency Grant number
Russian Science Foundation 17-11-01303
Received: 19.12.2018
English version:
Moscow University Mathematics, 2020, Volume 75, Issue 1, Pages 42–46
DOI: https://doi.org/10.3103/S0027132220010076
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: V. V. Vedyushkina, “The Liouville foliation of the billiard book modelling the Goryachev–Chaplygin case”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 1, 64–68; Moscow University Mathematics, 75:1 (2020), 42–46
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :18
    References:23
    First page:8
     
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