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

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

Author(s):

A. S. Boitsov

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

Abstract:

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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