CLUSTERING DYNAMICS IN GLOBALLY COUPLED MAP LATTICES

Clustering bifurcations are investigated by considering models of glob ally coupled map lattices. Typical classes of clustering bifurcations are revealed. The clustering bifurcation thresholds of the coupled sys tem are closely related to the bifurcation structures of a single map. In particular, cluster-doubling bifurcation induced period-doubling b ifurcations and clustering induced chaos are found. At the onset of an N-cluster state we always find uniform cell number distribution in th e N clusters and uniform phase separations between these clusters.