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Theoretical and Applied Mechanics, 2019, Volume 46, Issue 1, Pages 47–63
DOI: https://doi.org/10.2298/TAM181215001F (Mi tam54) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results

A. T. Fomenko, V. V. Vedyushkina

Moscow State University, Moscow, Russia Federation
Full-text PDF (2612 kB) Citations (4)
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DOI: https://doi.org/10.2298/TAM181215001F
Abstract: In the paper we present the new results in the theory of integrable Hamiltonian systems with two degrees of freedom and topological billiards. The results are obtained by the authors, their students, and participants of scientific seminars of the Department of Differential Geometry and Applications, Faculty of Mathematics and Mechanics at Lomonosov Moscow State University.
Keywords: integrable systems, topological billiards, Liouville equivalence, Minkowski space, geodesic flows, Fomenko–Zieschang invariants.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation NSh-6399.2018.1
Russian Foundation for Basic Research 19-01-00775_a
This work was supported by the program “Leading Scientific Schools” (grant no. NSh-6399.2018.1, Agreement No. 075-02-2018-867) and the Russian Foundation for Basic Research (grant No. 19-01-00775-a).
Received: 15.12.2018
Bibliographic databases:
Document Type: Article
MSC: 37J15; 37J35
Language: English
Citation: A. T. Fomenko, V. V. Vedyushkina, “Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results”, Theor. Appl. Mech., 46:1 (2019), 47–63
Citation in format AMSBIB
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\paper Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results
\jour Theor. Appl. Mech.
\yr 2019
\vol 46
\issue 1
\pages 47--63
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\crossref{https://doi.org/10.2298/TAM181215001F}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Theoretical and Applied Mechanics
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