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.