Stability analysis and impulsive control of bifurcation in delayed networks

In this paper, the problem of Hopf bifurcation control for a network model with time delays is studied. When the value of delay passes through a critical value, Hopf bifurcation will occur and the system will lose its stability. To control the Hopf bifurcation, a impulsive controller is proposed. This controller can effectively control the amplitude of the bifurcated limit cycle. Numerical results have been presented to verify the theoretical results.