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Theoretical and Applied Mechanics, 2017, Volume 44, Issue 2, Pages 169–180
DOI: https://doi.org/10.2298/TAM170512008K
(Mi tam27)
 

This article is cited in 1 scientific paper (total in 1 paper)

The Routh theorem for mechanical systems with unknown first integrals

Alexander V. Karapetyan, Alexander S. Kuleshov

Department of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (738 kB) Citations (1)
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Abstract: In this paper we discuss problems of stability of stationary motions of conservative and dissipative mechanical systems with first integrals. General results are illustrated by the problem of motion of a rotationally symmetric rigid body on a perfectly rough plane.
Keywords: mechanical systems, first integrals, stability.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00338_а
This research was supported financially by Russian Foundation for Basic Researches (grant no. 16-01-00338).
Received: 12.05.2017
Bibliographic databases:
Document Type: Article
MSC: 70K20, 70E50, 70E18
Language: English
Citation: Alexander V. Karapetyan, Alexander S. Kuleshov, “The Routh theorem for mechanical systems with unknown first integrals”, Theor. Appl. Mech., 44:2 (2017), 169–180
Citation in format AMSBIB
\Bibitem{KarKul17}
\by Alexander~V.~Karapetyan, Alexander~S.~Kuleshov
\paper The Routh theorem for mechanical systems with unknown first integrals
\jour Theor. Appl. Mech.
\yr 2017
\vol 44
\issue 2
\pages 169--180
\mathnet{http://mi.mathnet.ru/tam27}
\crossref{https://doi.org/10.2298/TAM170512008K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000423915600004}
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  • https://www.mathnet.ru/eng/tam27
  • https://www.mathnet.ru/eng/tam/v44/i2/p169
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Theoretical and Applied Mechanics
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    Full-text PDF :52
    References:18
     
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