Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 1, Pages 59–62 (Mi vmumm381)  
This article is cited in 1 scientific paper (total in 1 paper)

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Stability of stationary rotations of multidimensional rigid body

A. M. Izosimov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (222 kB) Citations (1)
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Abstract: It is well known that the rotation of a free three-dimensional rigid body around the long and the short axes of inertia is stable, while the rotation around the middle axis is unstable. We generalize this result to the case of many-dimensional space.
Key words: many-dimensional rigid body, stability.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-00748-a
Ministry of Education and Science of the Russian Federation НШ-1410.2012.1
14.740.11.0794
11.G34.31.0054
Received: 20.06.2012
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 1, Pages 80–82
DOI: https://doi.org/10.3103/S002713221301018X
Bibliographic databases:
Document Type: Article
UDC: 514.853
Language: Russian
Citation: A. M. Izosimov, “Stability of stationary rotations of multidimensional rigid body”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 1, 59–62; Moscow University Mathematics Bulletin, 68:1 (2013), 80–82
Citation in format AMSBIB
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\by A.~M.~Izosimov
\paper Stability of stationary rotations of multidimensional rigid body
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 1
\pages 59--62
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3114432}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 1
\pages 80--82
\crossref{https://doi.org/10.3103/S002713221301018X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874968880}
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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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