A New Complex Hyper-chaotic System and Chaotic Synchronization of Error Feedback with Disturbance

Abstract

In this paper, a new complex hyper-chaotic system is proposed. Through the separation of real and imaginary parts, the basic dynamics such as symmetry, dissipation, equilibrium stability, Lyapunov exponent spectrum and power spectrum are studied. Then, according to the Lyapunov stability theory, using the error feedback synchronization method, we design a complex feedback controller to realize the chaotic synchronization of the proposed chaotic system with both parameters and external disturbances. Theoretical analysis shows that the controller can make the synchronization error gradually towards zero point. In addition, the numerical simulation of the complex chaotic synchronization system is carried out. The simulation results further verify the effectiveness of the proposed method.