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Regular and Chaotic Dynamics, 2000, Volume 5, Issue 2, Pages 189–200
DOI: https://doi.org/10.1070/RD2000v005n02ABEH000141 (Mi rcd872) 		 
This article is cited in 24 scientific papers (total in 25 papers)

Stability of Thomson's Configurations of Vortices on a Sphere

A. V. Borisova, A. A. Kilinb

a Department of Theoretical Mechanics, Moscow State University, Vorob'ievy Gory, 119899, Moscow, Russia
b Laboratory of Dynamical Chaos and Nonlinearity, Udmurt State University, Universitetskaya, 1, 426034, Izhevsk, Russia
Citations (25)
DOI: https://doi.org/10.1070/RD2000v005n02ABEH000141
Abstract: In this work stability of polygonal configurations on a plane and sphere is investigated. The conditions of linear stability are obtained. A nonlinear analysis of the problem is made with the help of Birkhoff normalization. Some problems are also formulated.
Received: 17.01.2000
Bibliographic databases:
Document Type: Article
MSC: 76C05, 58F10
Language: English
Citation: A. V. Borisov, A. A. Kilin, “Stability of Thomson's Configurations of Vortices on a Sphere”, Regul. Chaotic Dyn., 5:2 (2000), 189–200
Citation in format AMSBIB
\Bibitem{BorKil00}
\by A. V. Borisov, A. A. Kilin
\paper Stability of Thomson's Configurations of Vortices on a Sphere
\jour Regul. Chaotic Dyn.
\yr 2000
\vol 5
\issue 2
\pages 189--200
\mathnet{http://mi.mathnet.ru/rcd872}
\crossref{https://doi.org/10.1070/RD2000v005n02ABEH000141}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1780710}
\zmath{https://zbmath.org/?q=an:0967.76023}
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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