Stability of Thomson's Configurations of Vortices on a Sphere

    2000, Volume 5, Number 2, pp.  189-200

    Author(s): Borisov A. V., Kilin A. A.

    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.
    Citation: Borisov A. V., Kilin A. A., Stability of Thomson's Configurations of Vortices on a Sphere, Regular and Chaotic Dynamics, 2000, Volume 5, Number 2, pp. 189-200
    DOI: 10.1070/RD2000v005n02ABEH000141


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