一种基于荷控忆阻器的混沌电路

发布时间：2018-04-20 04:04

本文选题：忆阻器 + 混沌　；参考：《计算机科学》2014年S2期

【摘要】：在原有忆阻器的定义上采用一种相对简单的荷控忆阻器模型,其忆阻M与电荷q的关系可以用一条二次曲线来描述。经仿真分析,其伏安特性曲线是一条类斜"8"字滞后回线,且会随着周期双极性输入信号的频率和振幅的变化而变化,并在一定程度上受到忆阻器本身参数的影响。用此荷控忆阻器代替蔡氏电路中的蔡氏二极管,得到含荷控忆阻器的电路,给出相轨图、Lyapunov指数与维数来验证其在一定参数配置下处于混沌状态。通过变换系统的初始值,验证了此混沌系统的运动轨迹在初始值微小的变化下会发生很大的差异。Lyapunov指数谱表明含荷控忆阻器的混沌系统在初始值变化时能够进入超混沌状态。利用劳斯判据判别了排除零特征根的影响下该混沌系统在平衡点处的稳定性。
[Abstract]:A relatively simple model of charge controlled amnesia is used in the definition of the original amnesia. The relation between the amnesia M and the charge Q can be described by a quadratic curve. The simulation results show that the volt-ampere characteristic curve is an oblique "8" word hysteresis loop, which changes with the frequency and amplitude of the periodic bipolar input signal, and is affected to some extent by the parameters of the amnesia itself. The charge-controlled resistor is used to replace the Chua's diode in the circuit and the circuit containing the charge-controlled resistor is obtained. The Lyapunov exponent and dimension of the phase trajectory diagram are given to verify that the circuit is in a chaotic state under a certain parameter configuration. By transforming the initial value of the chaotic system, it is verified that the motion trajectory of the chaotic system will vary greatly when the initial value is small. The Lyapunov exponent spectrum shows that the chaotic system with a charge-controlled amnesia can enter the hyperchaotic state when the initial value changes. The stability of the chaotic system at the equilibrium point is determined by using the Rouse criterion.
【作者单位】：中国地质大学(北京)信息工程学院;
【基金】：国家自然科学基金(61273200)资助
【分类号】：TM13

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