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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2010, Issue 2, Pages 19–28 (Mi vuu149)  
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Analytic classification of singularities in the generalized Kowalevski case

P. E. Ryabova, M. P. Kharlamovb

a Finance Academy under the Government of the Russian Federation, Moscow
b Volgograd Academy of Public Administration
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Abstract: In the problem of motion of the Kowalevski top on two constant fields (the A. G. Reyman–M. A. Semenov-Tian-Shansky case) the type of all critical points of the momentum map is calculated.
Keywords: integrable Hamiltonian system, momentum map, bifurcation diagram, type of non-degenerate singularity.
Received: 23.05.2010
Bibliographic databases:
Document Type: Article
UDC: 517.938.5+531.38
MSC: 70E17, 70G40
Language: Russian
Citation: P. E. Ryabov, M. P. Kharlamov, “Analytic classification of singularities in the generalized Kowalevski case”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 2, 19–28
Citation in format AMSBIB
\Bibitem{RyaKha10}
\by P.~E.~Ryabov, M.~P.~Kharlamov
\paper Analytic classification of singularities in the generalized Kowalevski case
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2010
\issue 2
\pages 19--28
\mathnet{http://mi.mathnet.ru/vuu149}
\elib{https://elibrary.ru/item.asp?id=15166900}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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