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首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >Dynamic Behaviors Analysis of a Novel Fractional-Order Chua's Memristive Circuit
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Dynamic Behaviors Analysis of a Novel Fractional-Order Chua's Memristive Circuit

机译：一种新型分数阶蔡氏忆阻电路的动态行为分析

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摘要

This paper proposed a novel fractional-order Chua's memristive circuit. Firstly, a fractional-order mathematical model of a diode bridge generalized memristor with RLC filter cascade is established, and simulations verify that the fractional-order generalized memristor satisfies the basic characteristics of a memristor. Secondly, the capacitor and inductor in Chua's chaotic circuit are extended to the fractional order, and the fractional-order generalized memristor is used instead of Chua's diode to establish the fractional-order mathematical model of chaotic circuit based on RLC generalized memristor. By studying the stability analysis of the equilibrium point and the influence of the circuit parameters on the system dynamics, the dynamic characteristics of the proposed chaotic circuit are theoretically analyzed and numerically simulated. The results show that the proposed fractional-order memristive chaotic circuit has gone through three states: period, bifurcation, and chaos, and a narrow period window appears in the chaotic region. Finally, the equivalent circuit method is adopted in PSpice to realize the construction of the fractional-order capacitance and inductance, and the simulation of the fractional-order memristive chaotic circuit is completed. The results further verify the correctness of the theoretical analysis.
机译：本文提出了一种新的分数阶蔡氏忆阻电路。首先，建立了具有RLC滤波器级联的二极管桥式广义忆阻器的分数阶数学模型，仿真验证了分数阶广义忆阻器满足忆阻器的基本特性;其次，将Chua混沌电路中的电容和电感推广到分数阶，用小数阶广义忆阻器代替Chua二极管，建立基于RLC广义忆阻器的混沌电路分数阶数学模型;通过研究平衡点的稳定性分析以及电路参数对系统动力学的影响，对所提混沌电路的动力学特性进行了理论分析和数值模拟。结果表明，所提出的分数阶忆阻混沌电路经历了周期、分岔和混沌三种状态，混沌区域出现了一个较窄的周期窗。最后，在PSpice中采用等效电路方法，实现了分数阶电容和电感的构造，完成了分数阶忆阻混沌电路的仿真。结果进一步验证了理论分析的正确性。

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