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We study the synchronization of a linear array of globally coupled identicallogistic maps. We consider a time-delayed coupling that takes into account thefinite velocity of propagation of the interactions. We find globallysynchronized states in which the elements of the array evolve along a periodicorbit of the uncoupled map, while the spatial correlation along the array issuch that an individual map sees all other maps in his present, current, state.For values of the nonlinear parameter such that the uncoupled maps are chaotic,time-delayed mutual coupling suppress the chaotic behavior by stabilizing aperiodic orbit which is unstable for the uncoupled maps. The stability analysisof the synchronized state allows us to calculate the range of the couplingstrength in which global synchronization can be obtained.

Delay-induced synchronization phenomena in an array of globally coupled logistic maps