On observer synchronization of non-identical discrete-time hyperchaotic maps based on aggregation techniques and arrow form matrix

Abstract

In this paper, new sufficient conditions for synchronization of non-identical discrete-time hyperchaotic maps is proposed for hyperchaotic cryptosystem communication. They use aggregation techniques for stability study associated to the Benrejeb arrow form matrix for system description. In addition, suitable choice of outputs feedback brings the problem of synchronization of two non-identical hyperchaotic maps to two identical hyperchaotic maps one. The considered case of synchronization of third order hyperchaotic Hénon-Baier Klein maps shows the efficiency of the proposed approach to recover secure transmission of an image and a text.