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Regular and Chaotic Dynamics, 2013, Volume 18, Issue 4, Pages 344–355
DOI: https://doi.org/10.1134/S1560354713040023 (Mi rcd116) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Relative Equilibrium Configurations of Point Vortices on a Sphere

Maria V. Demina, Nikolai A. Kudryashov

Department of Applied Mathematics, National Research Nuclear University “MEPhI”, Kashirskoe shosse 31, Moscow, 115409 Russia
Citations (5)
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DOI: https://doi.org/10.1134/S1560354713040023
Abstract: The problem of constructing and classifying equilibrium and relative equilibrium configurations of point vortices on a sphere is studied. A method which enables one to find any such configuration is presented. Configurations formed by the vortices placed at the vertices of Platonic solids are considered without making the assumption that the vortices possess equal in absolute value circulations. Several new configurations are obtained.
Keywords: point vortices, sphere, relative equilibrium, fixed equilibrium, Platonic solids.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 11-01-00798-a
This research was partially supported by the Federal Target Program “Scientific and Scientific-Pedagogical Personnel of Innovative Russia for 2009-2013”, by the RFBR grant 11–01–00798–a and “Research and Developments in Priority Areas of Development of the Scientific and Technological Complex of Russia for 2007-2013”.
Received: 30.05.2013
Accepted: 05.07.2013
Bibliographic databases:
Document Type: Article
MSC: 76B47, 70F10
Language: English
Citation: Maria V. Demina, Nikolai A. Kudryashov, “Relative Equilibrium Configurations of Point Vortices on a Sphere”, Regul. Chaotic Dyn., 18:4 (2013), 344–355
Citation in format AMSBIB
\Bibitem{DemKud13}
\by Maria V. Demina, Nikolai A. Kudryashov
\paper Relative Equilibrium Configurations of Point Vortices on a Sphere
\jour Regul. Chaotic Dyn.
\yr 2013
\vol 18
\issue 4
\pages 344--355
\mathnet{http://mi.mathnet.ru/rcd116}
\crossref{https://doi.org/10.1134/S1560354713040023}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3090205}
\zmath{https://zbmath.org/?q=an:1274.76178}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000322878100002}
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  • https://www.mathnet.ru/eng/rcd/v18/i4/p344
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:39
     
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