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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 493, Pages 9–12
DOI: https://doi.org/10.31857/S2686954320040207 (Mi danma86) 		 
This article is cited in 12 scientific papers (total in 12 papers)

MATHEMATICS

Topological modeling of integrable systems by billiards: realization of numerical invariants

V. V. Vedyushkina, V. A. Kibkalo, A. T. Fomenko

Lomonosov Moscow State University, Moscow, Russian Federation
Full-text PDF (146 kB) Citations (12)
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DOI: https://doi.org/10.31857/S2686954320040207
Abstract: A local version of A.T. Fomenko's conjecture on modeling of integrable systems by billiards is formulated. It is proved that billiard systems realize arbitrary numerical marks of Fomenko–Zieschang invariants. Thus, numerical marks are not a priori a topological obstacle to the realization of the Liouville foliation of integrable systems by billiards.
Keywords: integrability, Hamiltonian system, billiard, Fomenko–Zieschang invariant, CW complex.
Funding agency Grant number
Russian Foundation for Basic Research 19–01–00775-a
This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00775-a.
Received: 18.05.2020
Revised: 18.05.2020
Accepted: 04.06.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 1, Pages 269–271
DOI: https://doi.org/10.1134/S1064562420040201
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: V. V. Vedyushkina, V. A. Kibkalo, A. T. Fomenko, “Topological modeling of integrable systems by billiards: realization of numerical invariants”, Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020), 9–12; Dokl. Math., 102:1 (2020), 269–271
Citation in format AMSBIB
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\paper Topological modeling of integrable systems by billiards: realization of numerical invariants
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\pages 9--12
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\transl
\jour Dokl. Math.
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\pages 269--271
\crossref{https://doi.org/10.1134/S1064562420040201}
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    • This publication is cited in the following 12 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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