Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 2, Pages 27–33 (Mi vmumm17)  
This article is cited in 7 scientific papers (total in 7 papers)

Mathematics

The geodesic flow on a two-dimensional ellipsoid in the field of an elastic force. Topological classification of solutions

I. F. Kobtsev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (519 kB) Citations (7)
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Abstract: The Liouville foliation of system describing the motion of a material point on a 2-dimensional ellipsoid in the field of elastic forse is considered. The main goal is to find Fomenko–Zieschang invariants (isoenergetic molecules) of the system. The algebraic method of M. P. Kharlamov is used to obtain the results.
Key words: integrable Hamiltonian system, ellipsoid, geodesic flow, potential, Liouville foliation, separation of variables.
Funding agency Grant number
Russian Science Foundation 17-11-01303
Received: 27.09.2017
English version:
Moscow University Mathematics Bulletin, 2018, Volume 73, Issue 2, Pages 64–70
DOI: https://doi.org/10.3103/S0027132218020031
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: I. F. Kobtsev, “The geodesic flow on a two-dimensional ellipsoid in the field of an elastic force. Topological classification of solutions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 2, 27–33; Moscow University Mathematics Bulletin, 73:2 (2018), 64–70
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :58
    References:27
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