NONPERTURBATIVE RENORMALIZATION-GROUP FOR CHAOTIC COUPLED MAP LATTICES

A nonperturbative renormalization group is derived for chaotic coupled map lattices (CMLs) with diffusive coupling, leading to a natural spa ce-continuous limit of these systems. We show that, under very general conditions, the universal properties of the local map are translated to the spatiotemporal level, demonstrating the self-similarity of the bifurcation diagrams of strongly coupled CMLs and the accompanying div ergence of length scales.