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Chebyshevskii Sbornik, 2021, Volume 22, Issue 5, Pages 44–57
DOI: https://doi.org/10.22405/2226-8383-2021-22-5-44-57 (Mi cheb1119) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Realization of focal singularities of integrable systems using billiard books with a Hooke potential field

V. V. Vedyushkinaa, V. A. Kibkaloab, S. E. Pustovoitova

a Lomonosov Moscow State University (Moscow)
b Moscow Center for Fundamental and Applied Mathematics (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2021-22-5-44-57
Abstract: Systems of particle motion in the Hooke central potential field on a billiard book glued from flat circular billiard domains are considered. An important class of nondegenerate focal singularities of the rank 0 of integrable systems with 2 degrees of freedom is completely realized by this class of billiards. Namely, for each semi-local focal singularity the constructed billiard system has a singularity fiberwise homeomorphic to the given one.
Keywords: integrable billiard, focal singularity, Liouville foliation.
Funding agency Grant number
Russian Science Foundation 17-11-01303
Received: 12.09.2021
Accepted: 21.12.2021
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: V. V. Vedyushkina, V. A. Kibkalo, S. E. Pustovoitov, “Realization of focal singularities of integrable systems using billiard books with a Hooke potential field”, Chebyshevskii Sb., 22:5 (2021), 44–57
Citation in format AMSBIB
\Bibitem{VedKibPus21}
\by V.~V.~Vedyushkina, V.~A.~Kibkalo, S.~E.~Pustovoitov
\paper Realization of focal singularities of integrable systems using billiard books with a Hooke potential field
\jour Chebyshevskii Sb.
\yr 2021
\vol 22
\issue 5
\pages 44--57
\mathnet{http://mi.mathnet.ru/cheb1119}
\crossref{https://doi.org/10.22405/2226-8383-2021-22-5-44-57}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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