Stability of Thomson's Configurations of Vortices on a Sphere

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.

17 pages, 3 figures, 1 table

Cited by in corpus (2)

• Phase Topology of Two Vortices of the Identical Intensities in Bose-Einstein Condensate
• Dynamics of a few vortices in an ideal fluid and in a Bose-Einstein condensate