NOISE-INDUCED PERIODIC BEHAVIOR IN THE GLOBALLY COUPLED COMPLEX GINZBURG-LANDAU EQUATION

We study the effect of noise in a recently introduced discrete version of the complex Ginzburg-Landau equation which is a globally coupled o scillator model. The response of the previously discovered coherent ch aotic state to white noise is investigated. For small noise levels, th e mean-field amplitude remains non-zero in the thermodynamic limit, bu t we find a pronounced increase in the periodicity of its dynamics. Fo r larger noise, a phase transition to a zero mean field is observed. A n interpretation of these phenomena is proposed using an equation of m otion for a single oscillator with self-consistent forcing.