Knowm忆阻混沌电路:建模、分析与实验验证

A chaotic circuit based on Knowm memristor:modeling,analysis,and experimental verification

以往忆阻器及其混沌应用的研究主要集中于模拟忆阻器而展开,对以真实忆阻器构建混沌电路的研究不多.为了给Knowm忆阻器的混沌应用提供依据,在选定Knowm忆阻器模型参数的基础上,基于Knowm忆阻器设计了一类混沌电路,建立该混沌电路的数学模型,分析此电路的平衡点特性,并对系统进行数值仿真和电路实验.结果表明,理论分析结果与电路实验结果一致.研究结果验证了选定的Knowm忆阻器参数的正确性、模型的有效性以及以Knowm忆阻器等构建混沌电路的可行性.

Previous research on memristors and their chaotic applications has mainly focused on the use of memristor emulators,with little research on constructing the chaotic circuit using real memristors.In order to provide a basis for the chaotic applications of the Knowm memristor,we construct a chaotic circuit based on the Knowm memristor by selecting the parameters of the Knowm memristor,and analyze the equilibrium points.The system is subjected to numerical simulations and experimental testing.The experimental results are in good agreement with the results of numerical simulations,which show that the selecting parameters and theoretical analysis are correct,and the chaotic circuit is effective.