2005/03/31 by A. V. Borisov, A. A. Kilin
Physics and Astronomy · #nlin.CD #nlin.SI
published as Regular and Chaotic Dynamics, 2000 Volume 5 Number 2 · 17 pages, 3 figures, 1 table
arxiv created 2005/03/31 · arxiv updated 2009/12/01
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.