Delayed coupling of logistic maps - art. no. 037202

We study the synchronization of logistic maps in a one-way coupling configu ration. The master system is coupled to the slave system with a delay n(1), and the slave is a delayed logistic map with a delay n(2). We show that wh en the slave system has no delay (n(2)=0), Perfectly synchronized solutions exist for strong enough coupling. In these solutions the slave variable y is retarded with respect to the master variable x with a retardation equal to the delay of the coupling [y(i+n(1))=x(i)]. When n(2)not equal0, a regim e of generalized synchronization is observed, where y (i+n(1)) is synchroni zed with x(i), but not completely, since the master and the slave systems o bey different maps. We introduced a similarity function as an indicator of the degree of synchronization and, using a noisy master source, distinguish ed synchronization from noise-induced correlations.