In this paper, X-controlled universal fractional-order memelements (FOMEs) emulator is proposed. The emulation circuit is realized using second-generation current conveyor (CCII) and analog voltage multiplier (AVM)/divider block with two switches to control the type of memelements and emulator mode. The effect of the fractional-order capacitor (FOC) on the pinched hysteresis loop (HL) area and the range of frequency is discussed at different fractional-order $\alpha$. Additionally, the higher-order meminductor, memristor, memcapacitor, and inverse memristor are discussed presenting multiple pinched points (MPPs) in the $\phi -i,i-v,q-v,i-v$ plane, respectively. The circuit simulations for the proposed emulators have been verified using PSPICE simulations and validated experimentally at different orders. Finally, the proposed emulator is employed in Chua’s chaotic oscillator as an application investigating the effect of fractional-order on the chaotic response.

本文提出了X控制的通用分数阶Memelements（FOMEs）仿真器。该仿真电路是使用第二代电流传输器（CCII）和模拟电压倍增器（AVM）/分压器模块实现的，该模块具有两个开关，用于控制存储器的类型和仿真器模式。在不同的分数阶下讨论了分数阶电容器（FOC）对收缩磁滞回线（HL）面积和频率范围的影响$\alpha$。此外，我们还讨论了高阶磁致电阻器，忆阻器，忆阻器和反忆阻器，并在其中提出了多个收缩点（MPP）。$\phi --\mathrm{一世}，\mathrm{一世}--v，q--v，\mathrm{一世}--v$飞机。拟议仿真器的电路仿真已使用PSPICE仿真进行了验证，并以不同的顺序进行了实验验证。最后，将拟议的仿真器用于蔡氏混沌振荡器中，作为研究分数阶对混沌响应的影响的应用程序。