Adaptive synchronization analysis of chaotic system based on memristor

Abstract On the basis of the classic chaos theory, a new memristive chaotic system with hidden attractor was constructed. And the basic dynamic characteristics of the system was analyzed. Based on the system, an analog circuit was designed for simulation. Finally, the synchronization control of the system was explored. The research show that the system has abundant nonlinear behaviors, such as Poincaré mapping, Brownian motion, bifurcation diagram and Lyapunov exponent spectrum. The circuit simulation results are basically consistent with the theoretical analysis and numerical simulation results, which lays a certain foundation for the practical application of the memristive chaotic system. According to the existing theory, a suitable adaptive controller was proposed to achieve synchronization. At the same time, the unknown parameters of the system were identified. The effectiveness of the control method was verified by the numerical simulation.