Globally coupled noisy oscillators with inhomogeneous periodic forcing.

We study the collective properties of an array of nonlinear noisy oscillators driven by nonidentical periodic signals. We consider the case of a globally coupled array of harmonically forced, weakly nonlinear oscillators where there is a constant difference between the phases of the forcing signals applied to adjacent oscillators. This system is a prototypical model of a nonlinear phased array receiver. We derive analytical results for the array output in the limit of a large number of oscillators for the noise-free and noisy cases. Numerical simulations show good agreement with the theoretical analysis.