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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 6, Pages 656–662
DOI: https://doi.org/10.1134/S1560354714060045 (Mi rcd189) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Four-Dimensional Generalization of the Grioli Precession

Vladimir Dragovićab, Borislav Gajića

a Mathematical Institute, Serbian Academy of Science and Art, Kneza Mihaila 36, 11000 Belgrade, Serbia
b University of Texas at Dallas, 800 West Campbell Road, Richardson, TX, 75080, USA
Citations (1)
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DOI: https://doi.org/10.1134/S1560354714060045
Abstract: A particular solution of the four-dimensional Lagrange top on e(4) representing a four-dimensional regular precession is constructed. Using it, a four-dimensional analogue of the Grioli nonvertical regular precession of an asymmetric heavy rigid body is constructed.
Keywords: rigid body dynamics, Grioli precession, four-dimensional Lagrange case.
Funding agency Grant number
Ministry of Education, Science and Technical Development of Serbia 174020
The research was partially supported by the Serbian Ministry of Education and Science, Project 174020 Geometry and Topology of Manifolds, Classical Mechanics and Integrable Dynamical Systems.
Received: 11.10.2014
Accepted: 14.10.2014
Bibliographic databases:
Document Type: Article
MSC: 70E45, 70E17
Language: English
Citation: Vladimir Dragović, Borislav Gajić, “Four-Dimensional Generalization of the Grioli Precession”, Regul. Chaotic Dyn., 19:6 (2014), 656–662
Citation in format AMSBIB
\Bibitem{DraGaj14}
\by Vladimir~Dragovi{\'c}, Borislav~Gaji\'c
\paper Four-Dimensional Generalization of the Grioli Precession
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 6
\pages 656--662
\mathnet{http://mi.mathnet.ru/rcd189}
\crossref{https://doi.org/10.1134/S1560354714060045}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3284606}
\zmath{https://zbmath.org/?q=an:06507824}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000345996200004}
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  • https://www.mathnet.ru/eng/rcd189
  • https://www.mathnet.ru/eng/rcd/v19/i6/p656
    • This publication is cited in the following 1 articles:
    1. Vladimir Dragović, Borislav Gajić, “Some Recent Generalizations of the Classical Rigid Body Systems”, Arnold Math J., 2:4 (2016), 511  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:64
     
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