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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2010, Issue 2, Pages 19–28
(Mi vuu149)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/vuu149 https://www.mathnet.ru/eng/vuu/y2010/i2/p19
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Abstract page: | 329 | Full-text PDF : | 159 | References: | 37 | First page: | 1 |
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