忆阻电路降维建模与特性分析

发布时间：2018-09-12 17:20

【摘要】：通过对蔡氏忆阻电路的数学建模分析,提出了忆阻电路动力学建模的降维问题.以包含两个磁控忆阻器的忆阻电路为例,进行了忆阻电路降维建模,由此建立了一个三维系统模型.基于该模型,分析了忆阻电路的平衡点和稳定性,研究了电路参数变化时忆阻电路的动力学特性.进一步,对包含两个磁控忆阻器的忆阻电路常规模型的分析结果和其降维模型的分析结果进行了比较.结果表明:忆阻电路降维模型的维数只与电容器的数量和电感器的数量有关,而与忆阻器的数量无关;当电路参数变化时忆阻电路存在分岔模式共存等非线性现象;降维建模降低了系统建模复杂度,有利于系统的动力学特性分析,但消除了忆阻器内部状态变量的初始条件对忆阻电路动力学特性的影响.
[Abstract]:Based on the mathematical modeling of Chua's amnesia circuit, the dimensionality reduction problem of the dynamic modeling of the circuit is put forward. Taking the memory circuit with two magnetically controlled resistors as an example, the dimensionality reduction modeling of the circuit is carried out, and a three-dimensional system model is established. Based on the model, the equilibrium point and stability of the circuit are analyzed, and the dynamic characteristics of the circuit are studied when the circuit parameters change. Furthermore, the analysis results of the conventional model and the dimensionality reduction model of the two magnetically controlled demertiplexers are compared. The results show that the dimension of the dimensionality reduction model is only related to the number of capacitors and inductors, but not to the number of resistors, and there are nonlinear phenomena such as the coexistence of bifurcation modes when the circuit parameters change. The reduced dimension modeling reduces the complexity of the system modeling and is beneficial to the analysis of the dynamic characteristics of the system, but it eliminates the influence of the initial conditions of the internal state variables of the resistor on the dynamic characteristics of the resistive circuit.
【作者单位】：常州大学信息科学与工程学院;南京理工大学电子工程系;江苏理工学院电气信息工程学院;
【基金】：国家自然科学基金(批准号:51277017) 江苏省自然科学基金(批准号:BK2012583)资助的课题~~
【分类号】：TM13

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