Synchronization and resonance in a driven system of coupled oscillators
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
We study the noise effects in a driven system of globally coupled oscillators, with particular attention to the interplay between driving and noise. The self-consistency equation for the order parameter, which measures the collective synchronization of the system, is derived; it is found that the total order parameter decreases monotonically with noise, indicating overall suppression of synchronization. Still, for large coupling strengths, there exists an optimal noise level at which the
... c (ac) component of the order parameter reaches its maximum. The response of the phase velocity is also examined and found to display resonance behavior.