Geodesic
Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov--Maxwell system
The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 4, pp. 85-106

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The review of existence theorems of bifurcation points of solutions for nonlinear operator equation in Banach spaces is presented. The sufficient conditions of bifurcation of solutions of boundary-value problem for Vlasov–Maxwell system are considered. The analytical method of Lyapunov–Schmidt–Trenogin is employed.
Keywords: plasma; bifurcation points; Conley index; nonlinear analysis; Vlasov–Maxwell system; Lyapunov–Schmidt–Trenogin method. 
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     author = {N. A. Sidorov},
     title = {Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the {Vlasov--Maxwell} system},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
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     language = {en},
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N. A. Sidorov. Bifurcation points of nonlinear operators: existence theorems, asymptotics and application to the Vlasov--Maxwell system. The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 4, pp. 85-106. http://geodesic.mathdoc.fr/item/IIGUM_2013_6_4_a6/