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Sbornik: Mathematics, 2009, Volume 200, Issue 6, Pages 899–921
DOI: https://doi.org/10.1070/SM2009v200n06ABEH004023 (Mi sm4501) 		 
This article is cited in 11 scientific papers (total in 11 papers)

The topology of Liouville foliation for the Sokolov integrable case on the Lie algebra so(4)

G. Haghighatdoosta, A. A. Oshemkovb

a Department of Fundamental Sciences, Azarbaijan University of Tarbiat Moallem, Tabriz, Iran
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (393 kB) Citations (11) Russian version article
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DOI: https://doi.org/10.1070/SM2009v200n06ABEH004023
Abstract: Several new integrable cases for Euler's equations on some six-dimensional Lie algebras were found by Sokolov in 2004. In this paper we study topological properties of one of these integrable cases on the Lie algebra so(4). In particular, for the system under consideration the bifurcation diagrams of the momentum mapping are constructed and all Fomenko invariants are calculated. Thereby, the classification of isoenergy surfaces for this system up to the rough Liouville equivalence is obtained.
Bibliography: 9 titles.
Keywords: integrable Hamiltonian systems, momentum mapping, bifurcation diagram, topological invariants.
Received: 25.12.2007 and 16.03.2009
Bibliographic databases:
UDC: 517.938.5
MSC: 37J35, 70H06
Language: English
Original paper language: Russian
Citation: G. Haghighatdoost, A. A. Oshemkov, “The topology of Liouville foliation for the Sokolov integrable case on the Lie algebra so(4)”, Sb. Math., 200:6 (2009), 899–921
Citation in format AMSBIB
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\by G.~Haghighatdoost, A.~A.~Oshemkov
\paper The topology of Liouville foliation for the Sokolov integrable case on the Lie algebra so(4)
\jour Sb. Math.
\yr 2009
\vol 200
\issue 6
\pages 899--921
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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