Diversity-induced resonance with two different kinds of time delays

The phenomena of diversity-induced resonance in a coupled bistable system are investigated numerically and analytically when two different characteristic time delays are considered, i.e., the feedback time delay and the coupling time delay. By applying the mean-field approximation, the theoretical analysis of the spectral amplification factor is derived. It is shown that both of the time delays can induce periodic resonance. The feedback time delay can induce a damping oscillation in resonance at each multiple of the driving period. The feedback strength can reduce the resonance. While there exists an optimal value of the coupling strength at which the resonance can reach its maximum.