Abstract In this paper, based on the memory characteristics of fractional calculus, a new fractional-order memristor is proposed, which not only retain the basic characteristics of memristor, but also expand the influence of control parameters on system 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. It is found that the phase trajectory of the system expands and narrows under different parameters. In addition, there are two coexisting hyperchaotic attractors at different initial values. The SE complexity and C0 complexity of the system parameters are also given by the complexity algorithm. Finally, the fractional-order memristor and fractional-order memristive hyperchaotic circuits are realized through analog circuits.
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Ding et al. (2024) studied this question.
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