Stability and Hopf Bifurcation Analysis of an(n + m)-Neuron Double-Ring Neural Network Model with Multiple Time Delays|XING Ruitao;XIAO Min;ZHANG Yuezhong;QIU Jianlong|School of Automation and Electrical Engineering,Linyi University,Linyi 276000,China - 期刊导航|首站-论文投稿智能助手|论文发表|论文智能投稿|期刊自助发表推荐|杂志社快速发表|查同导刊-域田数据官方网站

典型文献

Stability and Hopf Bifurcation Analysis of an(n + m)-Neuron Double-Ring Neural Network Model with Multiple Time Delays

文献摘要：

Up till the present moment,researchers have always featured the single-ring neural net-work.These investigations,however,disregard the link between rings in neural networks.This paper highlights a high-dimensional double-ring neural network model with multiple time delays.The neural network has two rings of a shared node,where one ring has n neurons and the other has m + 1 neurons.By utilizing the sum of time delays as the bifurcation parameter,the method of Coates' flow graph is applied to obtain the relevant characteristic equation.The stability of the neural network model with bicyclic structure is discussed by dissecting the characteristic equation,and the critical value of Hopf bifurcation is derived.The effect of the sum of time delays and the number of neurons on the stability of the model is extrapolated.The validity of the theory can be verified by numerical simulations.

文献关键词：

中图分类号：

[1] 自动化技术、计算机技术（TP） / 计算技术、计算机技术（TP3） / 计算机的应用（TP39） / 信息处理(信息加工)（TP391）

[2] 医药、卫生（R） / 药学（R9） / 药理学（R96） / 实验药理学（R965）

[3] 医药、卫生（R） / 基础医学（R3） / 病理学（R36） / 病理过程（R364）

作者姓名：

XING Ruitao;XIAO Min;ZHANG Yuezhong;QIU Jianlong

作者机构：

College of Automation and College of Artificial Intelligence,Nanjing University of Posts and Telecommunica-tions,Nanjing 210003,China;School of Automation and Electrical Engineering,Linyi University,Linyi 276000,China

文献出处：

系统科学与复杂性学报（英文版）

引用格式：

[1]XING Ruitao;XIAO Min;ZHANG Yuezhong;QIU Jianlong-.Stability and Hopf Bifurcation Analysis of an(n + m)-Neuron Double-Ring Neural Network Model with Multiple Time Delays)[J].系统科学与复杂性学报（英文版）,2022(01):159-178

A类：

Coates

B类：

Stability,Hopf,Bifurcation,Analysis,Neuron,Double,Ring,Neural,Network,Model,Multiple,Time,Delays,Up,till,present,moment,researchers,have,always,featured,single,neural,These,investigations,however,disregard,link,between,rings,networks,This,paper,highlights,dimensional,double,model,multiple,delays,has,shared,node,where,one,neurons,other,By,utilizing,sum,bifurcation,parameter,method,flow,graph,applied,obtain,relevant,characteristic,equation,stability,bicyclic,structure,discussed,by,dissecting,critical,value,derived,effect,number,extrapolated,validity,theory,can,verified,numerical,simulations

AB值：

0.588973

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