Wave Propagation in Nonlocally Coupled Oscillators With Noise
  The onset of undamped wave propagation in noisy self-oscillatory media is identified with a Hopf bifurcation of the corresponding effective dynamical system obtained by properly renormalizing the effects of noise. We illustrate this fact on a dense array of nonlocally coupled phase oscillators for which a mean-field idea works exactly in deriving such effective dynamical equations. 
Yuri Shiogai and Yoshiki Kuramoto