Coexisting and multiple scroll attractors in a Hopfield neural network with a controlled memristor  

作　　者：Qing-Qing Ma An-Jiang Lu Zhi Huang 马青青;陆安江;黄智(College of Big Data and Information Engineering,Guizhou University,Guiyang 550025,China)

机构地区：[1]College of Big Data and Information Engineering,Guizhou University,Guiyang 550025,China

出　　处：《Chinese Physics B》2024年第12期214-222,共9页中国物理B（英文版）

基　　金：supported by the Guizhou Province Natural Science Foundation(Qiankehe Fundamentals-ZK[2023]General-055);Guizhou Province Science and Technology Support Plan Project(Qiankehe Fundamentals[2023]General-465)。

摘　　要：A method of generating multi-double scroll attractors is proposed based on the memristor Hopfield neural network(HNN)under pulse control.First,the original hyperbolic-type memristor is added to the neural network mathematical model,and the influence of this memristor on the dynamic behavior of the new HNN is analyzed.The numerical results show that after adding the memristor,the abundant dynamic behaviors such as chaos coexistence,period coexistence and chaos period coexistence can be observed when the initial value of the system is changed.Then the logic pulse is added to the external memristor.It is found that the equilibrium point of the HNN can multiply and generate multi-double scroll attractors after the pulse stimulation.When the number of logical pulses is changed,the number of multi-double scroll attractors will also change,so that the pulse can control the generation of multi-double scroll attractors.Finally,the HNN circuit under pulsed stimulation was realized by circuit simulation,and the results verified the correctness of the numerical results.

关 键 词：multi-double scroll attractors Hopfield neural network pulse control 

分 类 号：TN60[电子电信—电路与系统] TP183[自动化与计算机技术—控制理论与控制工程]