Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 4, Pages 12–22 (Mi vmumm4336)  
This article is cited in 15 scientific papers (total in 15 papers)

Mathematics

Isoenergy manifolds of integrable billiard books

I. S. Kharcheva

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (706 kB) Citations (15)
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Abstract: We consider a class of integrable Hamiltonian systems with two degrees of freedom — billiard books, which are generalizations of billiards bounded by arcs of confocal quadrics. The first issue arising in the study of billiards is concerned with the topology of the phase space and the isoenergy manifold. We prove that the phase space and the isoenergy manifold of any billiard book are actually piecewise manifolds.
Key words: integrable Hamiltonian system, billiard, isoenergy manifold.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6399.2018.1
Received: 19.06.2019
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 4, Pages 149–160
DOI: https://doi.org/10.3103/S0027132220040026
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: I. S. Kharcheva, “Isoenergy manifolds of integrable billiard books”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 4, 12–22; Moscow University Mathematics Bulletin, 75:4 (2020), 149–160
Citation in format AMSBIB
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\jour Moscow University Mathematics Bulletin
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\pages 149--160
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:27
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