Stability of Thomson's Configurations of Vortices on a Sphere
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🌊 nlin.CD
nlin.SI
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stabilityconfigurationssphereanalysisbirkhoffconditionsformulatedhelp
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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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