title: Globally coupled noisy oscillators with inhomogeneous periodic forcing.
abstract: 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.
authors.affiliation: Information Systems Laboratories, Inc., 10070 Barnes Canyon Road, San Diego, CA 92121, USA.
authors.forename: Michael
authors.initials: M
authors.lastname: Gabbay
authors.forename: Michael L
authors.initials: ML
authors.lastname: Larsen
authors.forename: Lev S
authors.initials: LS
authors.lastname: Tsimring