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A DETERMINISTIC APPROACH TO THE SYNCHRONIZATION OF NONLINEAR CELLULAR AUTOMATA

Abstract:

In this work, we introduce a deterministic scheme of synchronization of nonlinear cellular automata with chaotic behavior, connected through a master-slave coupling. By using a definition of Boolean derivative, we utilize the linear approximation of the cellular automata rules to design a deterministic and simple coupling function that ensures synchronization. Our results show that it is possible to synchronize nonlinear chaotic cellular automata using a deterministic coupling function that does not introduce into the slave all the information about the state of the master.