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Stability of Thomson's Configurations of Vortices on a Sphere

A. V. Borisov·A. A. Kilin
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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.

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A. V. Borisov, A. A. Kilin. 2005-03-31. Stability of Thomson's Configurations of Vortices on a Sphere. https://arxiv.org/abs/nlin/0503068

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