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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2024, Number 3, Pages 19–25
DOI: https://doi.org/10.55959/MSU0579-9368-1-65-3-3 (Mi vmumm4604) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Topological invariants of some ordered billiard games

K. E. Turinaab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics
Full-text PDF (464 kB) Citations (2) English version article
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DOI: https://doi.org/10.55959/MSU0579-9368-1-65-3-3
Abstract: In the paper, Liouville equivalence invariants were calculated for billiard books that implement some ordered billiard games. Namely, for integrable billiard books glued from $m$ disks bounded by an ellipse and no more than two annuli bounded by two confocal ellipses.
Key words: billiard, ordered billiard game, billiard book, isoenergy surface, Fomenko–Zieschang invariant, integrable Hamiltonian system, integrable billiard, confocal quadrics.
Received: 28.04.2023
English version:
Moscow University Mathematics Bulletin, 2024, Volume 79, Issue 3, Pages 122–129
DOI: https://doi.org/10.3103/S0027132224700177
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: K. E. Turina, “Topological invariants of some ordered billiard games”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 3, 19–25; Moscow University Mathematics Bulletin, 79:3 (2024), 122–129
Citation in format AMSBIB
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\by K.~E.~Turina
\paper Topological invariants of some ordered billiard games
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2024
\issue 3
\pages 19--25
\mathnet{http://mi.mathnet.ru/vmumm4604}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-65-3-3}
\elib{https://elibrary.ru/item.asp?id=67916239}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2024
\vol 79
\issue 3
\pages 122--129
\crossref{https://doi.org/10.3103/S0027132224700177}
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