Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the N-body problem

Autor:	Kowalczyk, Marta
Rok vydání:	2015
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Dynamical Systems
Zdroj:	Nonlinear Analysis: Real World Applications 24 (2015) pp. 108-125
Druh dokumentu:	Working Paper
DOI:	10.1016/j.nonrwa.2015.01.006
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1501.07449 Zobrazit plný text záznamu View this record from Arxiv