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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 295, Pages 41–52
DOI: https://doi.org/10.1134/S0371968516040038 (Mi tm3746) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Generalizations of the Kovalevskaya case and quaternions

I. A. Bizyaev, A. V. Borisov, I. S. Mamaev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.1134/S0371968516040038
Abstract: This paper provides a detailed description of various reduction schemes in rigid body dynamics. The analysis of one of such nontrivial reductions makes it possible to put the cases already found in order and to obtain new generalizations of the Kovalevskaya case to $e(3)$. Note that the indicated reduction allows one to obtain in a natural way some singular additive terms that were proposed earlier by D. N. Goryachev.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: July 6, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 295, Pages 33–44
DOI: https://doi.org/10.1134/S0081543816080034
Bibliographic databases:
Document Type: Article
UDC: 531.381
Language: Russian
Citation: I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Generalizations of the Kovalevskaya case and quaternions”, Modern problems of mechanics, Collected papers, Trudy Mat. Inst. Steklova, 295, MAIK Nauka/Interperiodica, Moscow, 2016, 41–52; Proc. Steklov Inst. Math., 295 (2016), 33–44
Citation in format AMSBIB
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\paper Generalizations of the Kovalevskaya case and quaternions
\inbook Modern problems of mechanics
\bookinfo Collected papers
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\vol 295
\pages 41--52
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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