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Regular and Chaotic Dynamics, 1999, Volume 4, Issue 3, Pages 45–52
DOI: https://doi.org/10.1070/RD1999v004n03ABEH000115 (Mi rcd911) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the Case of Kovalevskaya and New Examples of Integrable Conservative Systems on $S^2$

K. P. Hadelera, E. N. Selivanovab

a Mathematische Fakultät, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
b Department of Geometry, Nizhny Novgorod State Pedagogical University, 603000 Russia, Nizhny Novgorod, ul. Ulyanova 1
Citations (9)
DOI: https://doi.org/10.1070/RD1999v004n03ABEH000115
Abstract: There is a well-known example of an integrable conservative system on $S^2$, the case of Kovalevskaya in the dynamics of a rigid body, possessing an integral of fourth degree in momenta. The aim of this paper is to construct new families of examples of conservative systems on $S^2$ possessing an integral of fourth degree in momenta.
Received: 06.01.1999
Bibliographic databases:
Document Type: Article
MSC: 34C40, 58F05, 58F07, 58D17, 70E15
Language: English
Citation: K. P. Hadeler, E. N. Selivanova, “On the Case of Kovalevskaya and New Examples of Integrable Conservative Systems on $S^2$”, Regul. Chaotic Dyn., 4:3 (1999), 45–52
Citation in format AMSBIB
\Bibitem{HadSel99}
\by K. P. Hadeler, E. N. Selivanova
\paper On the Case of Kovalevskaya and New Examples of Integrable Conservative Systems on $S^2$
\jour Regul. Chaotic Dyn.
\yr 1999
\vol 4
\issue 3
\pages 45--52
\mathnet{http://mi.mathnet.ru/rcd911}
\crossref{https://doi.org/10.1070/RD1999v004n03ABEH000115}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1777879}
\zmath{https://zbmath.org/?q=an:1012.37037}
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    • This publication is cited in the following 9 articles:
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