Analysis and circuit implementation of fractional-order memristive hyperchaotic system with enhanced memory

Abstract In this paper, based on the memory characteristics of fractional calculus, a new fractional-order memristor is proposed. Fractional-order memristor is a more accurate description of memristor, which has richer dynamic behavior and better memory performance. Which has a stronger memorizability compared to other fractional-order memristor by analyzing the pinched hysteresis loop area. Based on the above fractional-order memristor, a fractional-order memristive hyperchaotic circuit is designed, such system is analyzed by using the Lyapunov Exponents and the bifurcation diagrams.With the change of system parameters, the phase trajectory of the system expands and narrows, and the amplitude of the chaotic attractor also changes. In addition, double chaotic attractors and coexisting attractors are found under different parameters and initial values. Finally, the fractional order memristor and the fractional order memristor hyperchaos circuit are realized by analog circuit in Multisim.