Noise-induced synchronized switching in coupled bistable systems

We consider a network of bistable dynamic elements with local, linear coupling, subject to noise and a time periodic signal. The response (quantified by an output signal to noise ratio, SNR) of a single element can be substantially enhanced when it is coupled into an array of like elements. In fact we show that noise and coupling cooperate to organize spatio temporal order across the array, corresponding to an increase in the output SNR of the reference element. The results shed new light on the potentially beneficial role of background noise in nonlinear dynamic devices and networks of neuron like elements.