Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the N-body problem. (August 2015)

• Record Type: Journal Article
• Authors: Kowalczyk, Marta
• Is Part Of: Nonlinear analysis. Volume 24(2015)
• Page Start: 108
• Page End: 125
• Publication Date: 2015-08
• Subjects: Bifurcations of critical orbits -- Equivariant potentials -- Central configurations; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2015.01.006
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this article we study topological bifurcations of critical orbits of equivariant gradient equations. We give necessary and sufficient conditions for the existence of global bifurcations of solutions of these equations. Moreover, we apply these abstract results to the study of bifurcations of new families of planar central configurations of the N -body problem.