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Sbornik: Mathematics, 2000, Volume 191, Issue 2, Pages 151–188
DOI: https://doi.org/10.1070/sm2000v191n02ABEH000451 (Mi sm451) 		 
This article is cited in 68 scientific papers (total in 69 papers)

The method of loop molecules and the topology of the Kovalevskaya top

A. V. Bolsinova, P. H. Richterb, A. T. Fomenko

a M. V. Lomonosov Moscow State University
b University of Bremen, Institute for Theoretical Physics
English version PDF (754 kB) Citations (69) Russian version article
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DOI: https://doi.org/10.1070/sm2000v191n02ABEH000451
Abstract: A method for calculating topological invariants of the foliation of a phase space into invariant Liouville tori in the case of integrable Hamiltonian systems with two degrees of freedom is put forward. The structure of this foliation is completely described for the Kovalevskaya integrable case in rigid body dynamics.
Received: 28.10.1999
Bibliographic databases:
Document Type: Article
UDC: 513.944+515.1
MSC: 58F07, 70E15
Language: English
Original paper language: Russian
Citation: A. V. Bolsinov, P. H. Richter, A. T. Fomenko, “The method of loop molecules and the topology of the Kovalevskaya top”, Sb. Math., 191:2 (2000), 151–188
Citation in format AMSBIB
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\paper The method of loop molecules and the~topology of the~Kovalevskaya top
\jour Sb. Math.
\yr 2000
\vol 191
\issue 2
\pages 151--188
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    • This publication is cited in the following 69 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:1291
    Russian version PDF:502
    English version PDF:47
    References:112
    First page:5
     
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