Double Hopf bifurcation of coupled dissipative Stuart-Landau oscillators with delay

In this paper, the double Hopf bifurcation of delay coupled dissipative Stuart-Landau oscillators models are considered, where the time delay is regarded as one of the parameters, and the other is the natural frequency. It is found that as the values of the two parameters vary, a number of double Hopf bifurcation points arise. Consequently, it has been found that the system exhibits very rich complex dynamics, some resonant and non-resonant double Hopf bifurcation phenomena can be observed. Some numerical simulations support our analysis result.