Hybrid control of Hopf bifurcation in complex networks with delays

In this paper, the problem of Hopf bifurcation control for a complex network model with time delays is considered by using a new hybrid control strategy, in which state feedback and parameter perturbation are used. To control the Hopf bifurcation, a hybrid control strategy is proposed and the onset of an inherent bifurcation is delayed (advanced) when such a bifurcation is undesired (desired). Furthermore, the dynamic behaviors of the controlled system can also be changed by choosing appropriate control parameters. Numerical simulation results confirm that the new control strategy is efficient in controlling Hopf bifurcation.