电场作用对改进的HR神经元模型的同步影响  

The Effect of Electric Field on the Synchronization of Improved HR Neuron Model

作　　者：王新瑀 包卫敏 杜莹 Wang Xinyu;Bao Weimin;Du Ying(School of Mathematics,East China University of Science and Technology,Shanghai 200237,China)

机构地区：[1]华东理工大学数学学院,上海200237

出　　处：《动力学与控制学报》2024年第4期78-85,共8页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11672107)。

摘　　要：MSF,即主稳定函数,是一种使用Lyapunov指数理论来确定复杂同型网络同步状态的稳定性的工具.负的MSF值表明网络可以同步.我们构建了一种双变量HR模型来描述神经元在电场作用下的同步行为,将神经元尺寸和外加电场作为影响电场作用的调控因素,利用简化的MSF方法,研究主稳定函数MSF和电荷尺寸及外加电场的关系.结果显示,电场效应对神经网络同步的作用是丰富的.施加较强的恒定电场可以促进网络同步,而施加交变电场则会抑制同步.另外,神经元半径也会影响电场效应的作用结果,在较大的神经元半径下,神经网络会更容易同步.MSF,or main stability function,is a method that uses Lyapunov exponent theory to determine the stability of synchronization states in complex homogeneous networks.A negative MSF value indicates that the network can synchronize.In this paper,a two-variable HR model is proposed to describe the synchronization behavior of neurons under the effect of an electric field by a simplified MSF method,with the neuron size and applied electric field as regulatory factors.The relationship among the main stability function MSF,the charge size and applied electric field is studied.The results show that the electric field has a rich effect on neural network synchronization.A strong constant electric field can promote network synchronization,while An alternating electric field can inhibit synchronization.In addition,the radius of the neuron also affects network synchronization.Under a larger radius of the neuron,the neural network will be easier to synchronize.

关 键 词：HR神经元模型 神经网络 同步 电场作用 主稳定函数 

分 类 号：O175[理学—数学]