The phenomena of synchronization and nontrivial collective behavior arestudied in a model of coupled chaotic maps with random global coupling. Themean field of the system is coupled to a fraction of elements randomly chosenat any given time. It is shown that the reinjection of the mean field to afraction of randomly selected elements can induce synchronization andnontrivial collective behavior in the system. The regions where thesecollective states emerge on the space of parameters of the system arecalculated.
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