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Regular and Chaotic Dynamics, 2012, Volume 17, Issue 2, Pages 150–169
DOI: https://doi.org/10.1134/S1560354712020050 (Mi rcd397) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On the Stability of Thomson’s Vortex Pentagon Inside a Circular Domain

Leonid G. Kurakinab

a Southern Mathematical Institute VSC RAS, Vladikavkaz, 362027 Russia
b Department of Mathematics, Mechanics, and Computer Sciences, Southern Federal University, Milchakova St. 8a, Rostov-on-Don, 344090 Russia
Citations (5)
DOI: https://doi.org/10.1134/S1560354712020050
Abstract: We investigate the stability problem for stationary rotation of five identical point vortices located at the vertices of a regular pentagon inside a circular domain. The main result is the proof of theorems which have been announced by the author in Doklady Physics (2004, vol. 49, no. 11, pp. 658–661).
Keywords: point vortices, stationary motion, stability, resonance.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 16.516.11.6106
14.740.11.0877
Russian Foundation for Basic Research 11-05-01138
11–05–91052
10-05-00646
This work was supported by the Ministry of Education and Science of the Russian Federation within the framework of the Federal programs “Research and Development on Priority Directions of the Scientific and Technological Complex of Russia for the years 2007-2013” (contract No 16.516.11.6106), “Scientific and Scientific-Pedagogical Personnel of Innovative Russia for the years 2007-2013” (contract No 14.740.11.0877), and the Russian Foundation for Basic Research (Grants 11-05-01138, 11–05–91052 and 10-05-00646).
Received: 29.08.2011
Accepted: 17.12.2011
Document Type: Article
MSC: 76B47, 34D20, 70K30
Language: English
Citation: Leonid G. Kurakin, “On the Stability of Thomson’s Vortex Pentagon Inside a Circular Domain”, Regul. Chaotic Dyn., 17:2 (2012), 150–169
Citation in format AMSBIB
\Bibitem{Kur12}
\by Leonid G. Kurakin
\paper On the Stability of Thomson’s Vortex Pentagon Inside a Circular Domain
\jour Regul. Chaotic Dyn.
\yr 2012
\vol 17
\issue 2
\pages 150--169
\mathnet{http://mi.mathnet.ru/rcd397}
\crossref{https://doi.org/10.1134/S1560354712020050}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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