Stability of Thomson's Configurations of Vortices on a Sphere

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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17 pages, 3 figures, 1 table

Scientific paper

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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