Partial synchronization in a system of coupled logistic maps

Clustering (or partial synchronization) in a system of globally coupled cha otic oscillators is studied by means of a model of three coupled logistic m aps. For this model we determine the regions in parameter space where total and partial synchronization take place, examine the bifurcations through w hich total synchronization tone-cluster dynamics) breaks down to give way t o two- and three-cluster dynamics, and follow the subsequent transformation s of the various asynchronous periodic, quasiperiodic and chaotic states. D ifferent forms of riddling of the basins of attraction for the fully synchr onized state are observed, and we discuss the mechanisms through which they arise.