Stability of Thomson's Configurations of Vortices on a Sphere
Abstract
Description
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
17 pages, 3 figures, 1 table