Self-organized and driven phase synchronization in coupled map networks

We study synchronization of coupled logistic maps on networks. For small coupling strengths nodes show turbulent behaviour but form phase synchronized clusters as coupling increases. We identify two different ways of cluster formation, self-organized clusters which have mostly intra-cluster couplings and driven clusters which have mostly inter-cluster couplings. In the novel driven synchronization the nodes of one cluster are driven by those of the others. (C) 2002 Elsevier Science B.V. All rights reserved.