Characteristics Analysis of the Fractional-Order Chaotic Memristive Circuit Based on Chua’s Circuit

Abstract

In this paper, a new fractional-order memristive circuit is defined based on canonical Chua’s circuit and Voltage-controlled memristor model. The fractional-order chaotic system is solved by conformable Adomian decomposition method (CADM), and the complexity characteristics are analyzed through sample entropy (SampEn) algorithm. The complexity analysis results correspond to the bifurcation diagram and Lyapunov exponential spectrum, which shows that SampEn algorithm can effectively reflects complexity of chaotic system. What’s more, the chaos diagrams of complexity with the two parameters variation and the three parameters variation are analyzed. The numerical simulation result indicates that the system parameters variable complexity can effectively reflect the randomness of the fractional-order chaotic system, and the system has rich dynamical performances. It provides the theoretical guidance and experimental evidence for fractional-order memristive chaotic circuit application in cryptography and secure communication.