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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 65 scientific papers (total in 66 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 (66)
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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
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 2, Pages 3–42
DOI: https://doi.org/10.4213/sm451
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”, Mat. Sb., 191:2 (2000), 3–42; Sb. Math., 191:2 (2000), 151–188
Citation in format AMSBIB
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    • This publication is cited in the following 66 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:86
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