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

    2011, Vol. 7, No. 3, pp.  465-488

    Author(s): Kurakin L. G.

    We investigate the stability problem for a system of five stationary rotation 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 the author in paper (Doklady Physics, 2004, vol. 49, no 11, pp. 658–661).



    Keywords: point vortex, stationary motion, stability, resonance
    Citation: Kurakin L. G., On the Stability of Thomson’s Vortex Pentagon Inside a Circular Domain, Rus. J. Nonlin. Dyn., 2011, Vol. 7, No. 3, pp.  465-488
    DOI:10.20537/nd1103005


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