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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}
Linking options:
  • https://www.mathnet.ru/eng/rcd661
  • https://www.mathnet.ru/eng/rcd/v11/i1/p123
    • This publication is cited in the following 8 articles:
    1. E. M. Artemova, “Dinamika dvukh vikhrei na konechnom ploskom tsilindre”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 33:4 (2023), 642–658  mathnet  crossref
    2. Wang Q., “The N-Vortex Problem on a Riemann Sphere”, Commun. Math. Phys., 385:1 (2021), 565–593  crossref  mathscinet  isi  scopus
    3. Evgeny V. Vetchanin, Ivan S. Mamaev, “Dynamics of Two Point Vortices in an External Compressible Shear Flow”, Regul. Chaotic Dyn., 22:8 (2017), 893–908  mathnet  crossref
    4. Stefanella Boatto, Jair Koiller, Fields Institute Communications, 73, Geometry, Mechanics, and Dynamics, 2015, 185  crossref
    5. Mikhail A. Sokolovskiy, Jacques Verron, Atmospheric and Oceanographic Sciences Library, 47, Dynamics of Vortex Structures in a Stratified Rotating Fluid, 2014, 317  crossref
    6. Mikhail A. Sokolovskiy, Jacques Verron, Atmospheric and Oceanographic Sciences Library, 47, Dynamics of Vortex Structures in a Stratified Rotating Fluid, 2014, 1  crossref
    7. Mikhail A. Sokolovskiy, Jacques Verron, Atmospheric and Oceanographic Sciences Library, 47, Dynamics of Vortex Structures in a Stratified Rotating Fluid, 2014, 179  crossref
    8. Mikhail A. Sokolovskiy, Jacques Verron, Atmospheric and Oceanographic Sciences Library, 47, Dynamics of Vortex Structures in a Stratified Rotating Fluid, 2014, 37  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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