Projective Synchronization of a Fifth-order Memristor-Based Chaotic Circuit

Projective synchronization and its control have recently been well investigated in chaotic system, but with uncertain parameters in memristor-based circuit has less involved. Compared with the traditional resistor, memristor is a kind of nonlinear device with memory function, which plays an important role in the design and application of chaotic system. In this paper, we present the study of projective synchronization of a fifth-order memristor-based chaotic circuit proposed in 2011 [1], With certain/uncertain parameters, using adaptive control method and the Lyapunov stability theory, projective synchronization are achieved by designing nonlinear controllers, and uncertain parameters can be identified at the same time. The effectiveness of this method is verified by numerical simulations.