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Nelin. Dinam., 2010, Volume 6, Number 2, Pages 307–326 (Mi nd41)  

This article is cited in 2 scientific papers (total in 2 papers)

Qualitative analysis of relative motion of three vortices

A. I. Gudimenko, A. D. Zakharenko

Pacific Oceanological Institute of the Far Eastern Branch of RAS

Abstract: Qualitative structure of relative motion of three point vortices on the unbounded plain is studied. A classification of phase portraits is proposed.

Keywords: point vortices, relative equilibria, stability, algebraic reduction.

Full text: PDF file (696 kB)
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Document Type: Article
UDC: 517.928, 532.517.43, 532.527
MSC: 37N10, 76B47
Received: 23.02.2010

Citation: A. I. Gudimenko, A. D. Zakharenko, “Qualitative analysis of relative motion of three vortices”, Nelin. Dinam., 6:2 (2010), 307–326

Citation in format AMSBIB
\Bibitem{GudZak10}
\by A.~I.~Gudimenko, A.~D.~Zakharenko
\paper Qualitative analysis of relative motion of three vortices
\jour Nelin. Dinam.
\yr 2010
\vol 6
\issue 2
\pages 307--326
\mathnet{http://mi.mathnet.ru/nd41}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Gudimenko A.I., Zakharenko A.D., “Stability of the Relative Equilibrium of Three Vortex Charges with Zero Total Intensity”, Fluid Dyn., 47:4 (2012), 465–475  crossref  mathscinet  zmath  isi  elib  elib  scopus
    2. Sokolovskiy M.A., Verron J., “Dynamics of Vortex Structures in a Stratified Rotating Fluid”: Sokolovskiy, MA Verron, J, Dynamics of Vortex Structures in a Stratified Rotating Fluid, Atmospheric and Oceanographic Sciences Library, 47, Springer Int Publishing Ag, 2014  crossref  adsnasa  isi
  • Нелинейная динамика
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