In this paper, the behaviour of a variable-order passive circuit element which is used in Chua chaotic circuit is analysed. Firstly, the behaviour of a circuit with a variable-order memristor is presented. In the generalized Ohm’s law for a memory element, the order of a passive circuit element is defined as a kind of the element, so the circuit shows unusual behaviour. Finally, the chaotic circuit is designed with a variable-order memristor, and the effect of the variable-order element is shown in the Chua circuit. The chaotic circuit model with the novel memristor shows limit-cycle behaviour.

中文翻译：

---

变阶无源电路元件在蔡电路中的作用

本文分析了用于蔡氏混沌电路的可变阶无源电路元件的行为。首先，介绍了具有可变阶忆阻器的电路的行为。在存储元件的广义欧姆定律中，无源电路元件的阶数被定义为一种元件，因此电路表现出异常行为。最后用变阶忆阻器设计混沌电路，变阶元件的作用如图Chua电路所示。具有新型忆阻器的混沌电路模型显示出极限循环行为。