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Mathematics of the USSR-Izvestiya, 1986, Volume 27, Issue 2, Pages 203–218
DOI: https://doi.org/10.1070/IM1986v027n02ABEH001174 (Mi im1370) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Integrable cases of the dynamics of a rigid body, and integrable systems on the spheres $S^n$

O. I. Bogoyavlenskii
English version PDF (895 kB) Citations (15) Russian version article
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DOI: https://doi.org/10.1070/IM1986v027n02ABEH001174
Abstract: Infinite-dimensional sets of integrable cases of the equations of rotation of a rigid body about a fixed point in a central force field, and also in more complicated fields (in the presence of symmetries of the inertia tensor), are found. Also considered are infinite-dimensional sets of integrable cases of the dynamics of a particle in potential fields in Euclidean space on $n$-axial ellipsoids and the spheres $S^n$.
Bibliography: 34 titles.
Received: 13.11.1984
Bibliographic databases:
Document Type: Article
UDC: 513.381
MSC: Primary 58F07; Secondary 58F05, 70D10, 70E15, 70H99
Language: English
Original paper language: Russian
Citation: O. I. Bogoyavlenskii, “Integrable cases of the dynamics of a rigid body, and integrable systems on the spheres $S^n$”, Math. USSR-Izv., 27:2 (1986), 203–218
Citation in format AMSBIB
\Bibitem{Bog85}
\by O.~I.~Bogoyavlenskii
\paper Integrable cases of the dynamics of a~rigid body, and integrable systems on the spheres~$S^n$
\jour Math. USSR-Izv.
\yr 1986
\vol 27
\issue 2
\pages 203--218
\mathnet{http://mi.mathnet.ru//eng/im1370}
\crossref{https://doi.org/10.1070/IM1986v027n02ABEH001174}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=810523}
\zmath{https://zbmath.org/?q=an:0616.70008}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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