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A small-world network (SW) of similar phase oscillators, interactingaccording to the Kuramoto model is studied numerically. It is shown thatdeterministic Kuramoto dynamics on the SW networks has various stablestationary states. This can be attributed to the "defect patterns" in a SWnetwork which is inherited to it from deformation of "helical patterns" in itsparent regular one. Turning on an uncorrelated random force, causes thevanishing of the defect patterns, hence increasing the synchronization amongoscillators for intermediate noise intensities. This phenomenon which is called"stochastic synchronization" generally observed in some natural networks likebrain neuronal network.

Noise-induced Synchronization in Small World Network of Phase Oscillators