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Sbornik: Mathematics, 2002, Volume 193, Issue 10, Pages 1507–1533
DOI: https://doi.org/10.1070/SM2002v193n10ABEH000687 (Mi sm687) 		 
This article is cited in 18 scientific papers (total in 18 papers)

The Liouville classification of integrable systems of the Clebsch case

P. V. Morozov

M. V. Lomonosov Moscow State University
English version PDF (760 kB) Citations (18)
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DOI: https://doi.org/10.1070/SM2002v193n10ABEH000687
Abstract: The Fomenko–Zieschang invariants for the integrable Clebsch case in the dynamics of a rigid body are calculated. Thus a complete description of the structure of the Liouville foliations on isoenergy surfaces of this integrable Hamiltonian system is obtained. As a corollary the Liouville equivalence of the Euler and Clebsch cases for certain values of the parameters is established.
Received: 31.10.2001
Russian version:
Matematicheskii Sbornik, 2002, Volume 193, Number 10, Pages 113–138
DOI: https://doi.org/10.4213/sm687
Bibliographic databases:
UDC: 515.1+521
MSC: Primary 37J35, 70E17; Secondary 53D20, 70E40, 70H06
Language: English
Original paper language: Russian
Citation: P. V. Morozov, “The Liouville classification of integrable systems of the Clebsch case”, Mat. Sb., 193:10 (2002), 113–138; Sb. Math., 193:10 (2002), 1507–1533
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:50
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