ROUGHENING OF SPATIAL PROFILES IN THE PRESENCE OF PARAMETRIC NOISE

We have studied the influence of parametric noise on the spatially hom ogeneous phase of a generalized coupled map lattice with varying range s of interaction. We show that synchronicity is completely stable unde r perturbations of the coupling strength, while variations in the loca l nonlinearity parameter lead to a coarsening of the spatial profile, well characterised by a host of scaling laws relating spatial roughnes s to range of disorder and strength of coupling. (C) 1998 Elsevier Sci ence B.V.