Abstract

RENDON, Leonardo; SINITSYN, Alexandre V  and  SIDOROV, Nikolai A. Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov-Maxwell system. Rev.colomb.mat. [online]. 2016, vol.50, n.1, pp.85-107. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v50n1.62200.

Abstract Existence theorems about bifurcation points of solutions for nonlinear operator equation in Banach spaces are proved. The sufficient conditions of bifurcation of solutions of boundary-value problem for Vlasov-Maxwell system are obtained. The analytical method of Lyapunov-Schmidt-Trenogon is employed.

Keywords : plasma; bifurcation points; Conley index; nonlinear analysis; Vlasov-Maxwell system; Lyapunov-Schmidt-Trenogin method.

        · abstract in Spanish     · text in English     · English ( pdf )