Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 2, Pages 28–32 (Mi vmumm4388)  
This article is cited in 9 scientific papers (total in 9 papers)

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Local modeling of Liouville foliations by billiards: implementation of edge invariants

V. V. Vedyushkina

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (371 kB) Citations (9)
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Abstract: The local case of A. Fomenko conjecture on the possibility of modeling Liouville foliations by integrable billiards is discussed. An extended version of its statements on numerical invariants on the edge of the Fomenko–Zieschang invariant of the Liouville foliation is proved. We show the realization of the Liouville foliation with some combinations of numerical marks values on a fixed edge by an appropriate class of integrable billiards.
Key words: integrable Hamiltonian systems, billiard, Liouville foliation, bifurcation diagram, Fomenko–Zieschang invariant, topological invariants.
Funding agency Grant number
Russian Science Foundation 20-71-00155
Received: 26.09.2019
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 2, Pages 60–64
DOI: https://doi.org/10.3103/S0027132221020091
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: V. V. Vedyushkina, “Local modeling of Liouville foliations by billiards: implementation of edge invariants”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 2, 28–32; Moscow University Mathematics Bulletin, 76:2 (2021), 60–64
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:22
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