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Regular and Chaotic Dynamics, 2016, Volume 21, Issue 3, Pages 367–376
DOI: https://doi.org/10.1134/S1560354716030084 (Mi rcd83) 		 
This article is cited in 11 scientific papers (total in 11 papers)

The Dynamics of Vortex Sources in a Deformation Flow

Ivan A. Bizyaeva, Alexey V. Borisova, Ivan S. Mamaevab

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
Citations (11)
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DOI: https://doi.org/10.1134/S1560354716030084
Abstract: This paper is concerned with the dynamics of vortex sources in a deformation flow. The case of two vortex sources is shown to be integrable by quadratures. In addition, the relative equilibria (of the reduced system) are examined in detail and it is shown that in this case the trajectory of vortex sources is an ellipse.
Keywords: integrability, vortex sources, reduction, deformation flow.
Funding agency Grant number
Russian Science Foundation 15-12-20035
Russian Foundation for Basic Research 14-01-00395-a
15-38-20879 mol_a_ved
Dynasty Foundation
The work of I. A. Bizyaev (Section 3) was carried out within the framework of the state assignment for institutions of higher education and partially supported by the Dynasty Foundation. The work of A. V. Borisov (Sections 1, 2) was supported by the Russian Science Foundation (project No. 15-12-20035). The work of I. S. Mamaev (Sections 4, 5) was supported by the RFBR grants Nos. 14-01-00395-a and 15-38-20879 mol_a_ved.
Received: 01.04.2016
Accepted: 26.04.2016
Bibliographic databases:
Document Type: Article
MSC: 76M23
Language: English
Citation: Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Vortex Sources in a Deformation Flow”, Regul. Chaotic Dyn., 21:3 (2016), 367–376
Citation in format AMSBIB
\Bibitem{BizBorMam16}
\by Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
\paper The Dynamics of Vortex Sources in a Deformation Flow
\jour Regul. Chaotic Dyn.
\yr 2016
\vol 21
\issue 3
\pages 367--376
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\crossref{https://doi.org/10.1134/S1560354716030084}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84975824499}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:55
     
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