Two Hyperchaotic Systems with Four-wing Attractors and Their Synchronization

Abstract

In this paper, an approach to generate multi-wing attractors in coupled chaotic systems is investigated. By coupling two identical Lu systems, novel four-wing hyperchaotic attractors are generated. In particular, novel four-wing hyperchaotic attractors are also generated by coupling a lorenz system and a Lu system. The paper shows that the equilibria of the proposed systems have certain symmetries with respect to specific coordinate planes. In addition, general hybrid projective dislocated synchronization between the two proposed systems is discussed, and this synchronization is applied to secure communication through chaotic masking, using the chaotic signal to mask a continuous signal and a discrete signal. In consideration of interfering random white noise, analyzes the characteristics of noise and then presents a de-noising method using wavelet transform. Simulation results show that the two systems can realize synchronization, further more, the information signal can be recovered undistorted when applying this method to secure communication.