2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80974In 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 tableChaotic DynamicsExactly Solvable and Integrable Systemstext