Synchronization of discrete-time hyperchaotic maps based on aggregation technique for encryption

In this work, the proposed framework for the synchronization via a scalar signal, of two discrete-time hyperchaotic systems, based on the use of observer concept and aggregation technique, is applied, with success, to a two-channel secure communication system. Sufficient conditions for synchronization are obtained by the use of Borne and Gentina practical for stabilization study associated to the Benrejeb arrow form matrix for system description. Application of the proposed approach to hyperchaotic Hénon systems shows the efficiency of the proposed communication system to recover transmitted message.