Cooperative effects of random time delays and small-world topologies on diversity-induced resonance

The phenomena of diversity-induced resonance in an array of coupled bistable systems with small-world connectivity and random time delays are investigated. It is found that the diversity σ of the coupled network in the form of quenched noise can induce a resonant effect in response to external signals. By choosing proper value of the coupling c between elements and the normalized shortcut number p, the resonant behavior of the system is enhanced. The resonance is reduced when the mean delay time τ in the system is increased. The resonance can be induced for relatively large τ and p.