Bifurcation control for a kind of non-autonomous system with time delay

摘要

A forced van der Pol system with two time-delays is studied. The central aim is analyzing primary resonance of this system. Perturbation method is used to obtain the average equation and bifurcation equation with time-delays. Based on the average equation, the stable region of this system is discussed. Based on the bifurcation equation, the multi-valued property of response amplitude is studied. The result indicates that this system can be well controlled with time delays.