Nonlinear analysis and chaos synchronization of a memristive-based chaotic system using adaptive control technique in noisy environments

Abstract

The behavior of memristor-based chaotic systems under the influence of external noise is the subject of recent work. In this paper, the nonlinear behavior of a new memristive chaotic system based on memcapacitor and meminductor is considered in noisy environments. The nonlinear behavior of the proposed memristive chaotic system in the presence of white Gaussian noise is viewed through a time series of dynamical analyses, Lyapunov exponent analysis, and phase diagram analysis. Then, chaos synchronization of two memristive chaotic systems in the presence of white gaussian noise is considered. For this purpose, adaptive feedback control laws are derived from achieving global chaos synchronization of identical new memristive chaotic systems. To confirm the validity of the proposed method, some numerical simulations follow identical synchronizations. Numerical simulations are performed to show the effectiveness of the proposed method.