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Sbornik: Mathematics, 2004, Volume 195, Issue 3, Pages 369–412
DOI: https://doi.org/10.1070/SM2004v195n03ABEH000809 (Mi sm809) 		 
This article is cited in 29 scientific papers (total in 29 papers)

Topology of Liouville foliations in the Steklov and the Sokolov integrable cases of Kirchhoff's equations

P. V. Morozov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (650 kB) Citations (29)
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DOI: https://doi.org/10.1070/SM2004v195n03ABEH000809
Abstract: This paper is devoted to the investigation of the topology of the Liouville foliations of the Steklov and the Sokolov integrable cases of Kirchhoff's equations. All isoenergy and loop molecules of these Hamiltonian systems are calculated and a classification of their non-degenerate equilibria is presented.
Received: 09.06.2003
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 3, Pages 69–114
DOI: https://doi.org/10.4213/sm809
Bibliographic databases:
UDC: 515.1+521
MSC: Primary 37J35, 70E40; Secondary 70H06
Language: English
Original paper language: Russian
Citation: P. V. Morozov, “Topology of Liouville foliations in the Steklov and the Sokolov integrable cases of Kirchhoff's equations”, Mat. Sb., 195:3 (2004), 69–114; Sb. Math., 195:3 (2004), 369–412
Citation in format AMSBIB
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    English version PDF:15
    References:66
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