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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 6, Pages 694–701
DOI: https://doi.org/10.1134/S1560354714060070 (Mi rcd192) 		 
This article is cited in 16 scientific papers (total in 16 papers)

The Dynamics of Three Vortex Sources

Ivan A. Bizyaeva, Alexey V. Borisovba, Ivan S. Mamaevca

a Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
b Institute of Mathematics and Mechanics of the Ural Branch of RAS, ul. S. Kovalevskoi 16, Ekaterinburg, 620990 Russia
c Moscow Institute of Physics and Technology, Inststitutskii per. 9, Dolgoprudnyi, 141700 Russia
Citations (16)
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DOI: https://doi.org/10.1134/S1560354714060070
Abstract: In this paper, the integrability of the equations of a system of three vortex sources is shown. A reduced system describing, up to similarity, the evolution of the system’s configurations is obtained. Possible phase portraits and various relative equilibria of the system are presented.
Keywords: integrability, vortex sources, shape sphere, reduction, homothetic configurations.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 14-01-00395-a
The work of I. S. Mamaev and I. A. Bizyaev was supported by the Ministry of Education and Science of the Russian Federation within the framework of the basic part of the state assignment to institutions of higher education. The work of A. V. Borisov was supported by the RFBR Grant 14-01-00395-a.
Received: 14.08.2014
Accepted: 08.09.2014
Bibliographic databases:
Document Type: Article
MSC: 37N05, 76M23
Language: English
Citation: Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Three Vortex Sources”, Regul. Chaotic Dyn., 19:6 (2014), 694–701
Citation in format AMSBIB
\Bibitem{BizBorMam14}
\by Ivan~A.~Bizyaev, Alexey~V.~Borisov, Ivan~S.~Mamaev
\paper The Dynamics of Three Vortex Sources
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 6
\pages 694--701
\mathnet{http://mi.mathnet.ru/rcd192}
\crossref{https://doi.org/10.1134/S1560354714060070}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3284609}
\zmath{https://zbmath.org/?q=an:06507827}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000345996200007}
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  • https://www.mathnet.ru/eng/rcd/v19/i6/p694
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:59
     
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