ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

The Bifurcations of Solutions of Nonlinear Equations of the Mathieu-duffing's Type


A. S. Boitsov

St.Petersburg State University,
Chair of Differential Equations,
Bibliotechnaya pl., 2, 198904, St.Petersburg, Russia


The local analysis of the first bifurcations of the solutions of the nonlinear nonautonomous differential second-order Mathieu-Duffing's equation is performed. The bifurcation of the appearance of the periodic solutions, the stability crisis of the trivial solution and next two bifurcations are considered. Bibl. 7.

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