SYNCHRONIZATION OF CHUA CHAOTIC CIRCUITS WITH APPLICATION TO THE BIDIRECTIONAL SECURE COMMUNICATION SYSTEMS

Abstract

In this paper, a scheme of a bidirectional hyperchaotic communication system is proposed. The hyperchaotic communication system including the transmitter and the receiver is composed of a pair of Chua circuit with coupling characteristics respectively. From the viewpoint of communication security, directly adopting the bidirectional communication system would provide a so-called "theoretical security". This is caused by the coupling relationship between the transmitter and the receiver. With the technique of frequency spectrum, the theoretical security of bidirectional communication systems can be proven. In other words, even if an intruder knows the parameter values of the system, he could not steal information from the system. As a result, it is not necessary for us to use the additional encryption. On the other hand, to achieve the synchronization of bidirectional communications, the method which applies a suitable Lyapunov function and the property of positive definite of a matrix is proposed to design the feedback controllers. Therefore, the message masked by chaotic signal from the transmitter can be perfectly recovered in the receiver. Finally, the simulation results can verify that the proposed method and the scheme of the bidirectional communication are favorable.