Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2012, Number 5, Pages 31–34 (Mi vmumm527)  
This article is cited in 22 scientific papers (total in 22 papers)

Mathematics

Description of singularities for system “billiard in an ellipse”

V. V. Fokicheva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (359 kB) Citations (22)
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Abstract: A “billiard within an ellipse” is an integrable system appearing in the description of a point motion inside an ellipse with natural reflections at the boundary. This system is considered in the paper, the topological invariant of Liouville equivalence of this system is calculated, which is a Fomenko–Tsishang molecule, by the new method developed by the author.
Key words: integrable system, billiard, Liouville equivalence, marked molecule.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11.G34.31.0054
Received: 16.12.2011
English version:
Moscow University Mathematics Bulletin, 2012, Volume 67, Issue 5-6, Pages 217–220
DOI: https://doi.org/10.3103/S0027132212050063
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: V. V. Fokicheva, “Description of singularities for system “billiard in an ellipse””, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5, 31–34; Moscow University Mathematics Bulletin, 67:5-6 (2012), 217–220
Citation in format AMSBIB
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\paper Description of singularities for system ``billiard in an ellipse''
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\pages 31--34
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2012
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\issue 5-6
\pages 217--220
\crossref{https://doi.org/10.3103/S0027132212050063}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870893933}
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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