Dynamical Analysis of Memristive Unified Chaotic System and Its Application in Secure Communication

Abstract

In this paper, a novel memristive unified chaotic system is proposed. The fundamental dynamical behaviors of such system are investigated by calculating phase portraits, Poincaré map, Lyapunov exponents, and bifurcation diagram. Also, the parameters and initial conditions that affect the properties of the memristive system are studied, In addition, a new scheme employing the adaptive parameter modulation synchronization of two memristive unified chaotic systems is proposed. In this scheme, the original signal is modulated into the parameter of the memristive unified systems, and the corresponding receiver system can succeed in recovering the original signal by utilizing the estimated parameter. Furthermore, the proposed memristive unified chaotic system can be applied into secure communication. The simulation results prove the effectiveness of the proposed scheme.

Keywords

• Memristive unified chaotic system
• dynamical analysis
• parameter modulation
• secure communication