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Regular and Chaotic Dynamics, 2006, Volume 11, Issue 1, Pages 123–130
DOI: https://doi.org/10.1070/RD2006v011n01ABEH000338 (Mi rcd661) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Absolute choreographies of point vortices on a sphere

K.G. Tronin

Institute of Computer Science, Udmurt State University, 1 Universitetskaya str., 426034 Izhevsk, Russia
Citations (8)
DOI: https://doi.org/10.1070/RD2006v011n01ABEH000338
Abstract: New periodic solutions to the problem of three and four identical vortices on a sphere are specified. These solutions correspond to choreographies of vortices on a plane. We also describe different methods to construct choreographies for an arbitrary number of vortices. The most interesting methods are based on splitting of the static symmetrical vortex configurations on a sphere.
Keywords: absolute choreographies, point vortices.
Received: 10.05.2005
Accepted: 30.07.2005
Bibliographic databases:
Document Type: Article
MSC: 37N05, 70F10
Language: English
Citation: K.G. Tronin, “Absolute choreographies of point vortices on a sphere”, Regul. Chaotic Dyn., 11:1 (2006), 123–130
Citation in format AMSBIB
\Bibitem{Tro06}
\by K.G. Tronin
\paper Absolute choreographies of point vortices on a sphere
\jour Regul. Chaotic Dyn.
\yr 2006
\vol 11
\issue 1
\pages 123--130
\mathnet{http://mi.mathnet.ru/rcd661}
\crossref{https://doi.org/10.1070/RD2006v011n01ABEH000338}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2222436}
\zmath{https://zbmath.org/?q=an:1135.76317}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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