Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 5, Pages 3–10
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-5-1 (Mi vmumm4561) 		 
Mathematics

Modeling of degenerate peculiarities of integrable billiard systems by billiard books

A. A. Kuznetsova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-5-1
Abstract: Examples of degenerate (non Morse type) multi-saddle singularities (atoms) of complexity 1 and multiplicity 3 are realized by integrable billiard books.
Key words: integrable system, billiard book, Liouville's foliation, confocal quadrics, degenerate exception, 3-atom.
Funding agency Grant number
Russian Science Foundation 21-11-00355
Received: 23.06.2022
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 5, Pages 207–215
DOI: https://doi.org/10.3103/S0027132223050030
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: A. A. Kuznetsova, “Modeling of degenerate peculiarities of integrable billiard systems by billiard books”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 5, 3–10; Moscow University Mathematics Bulletin, 78:5 (2023), 207–215
Citation in format AMSBIB
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\by A.~A.~Kuznetsova
\paper Modeling of degenerate peculiarities of integrable billiard systems by billiard books
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 5
\pages 3--10
\mathnet{http://mi.mathnet.ru/vmumm4561}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-5-1}
\elib{https://elibrary.ru/item.asp?id=54669686}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 5
\pages 207--215
\crossref{https://doi.org/10.3103/S0027132223050030}
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