控制理论与应用2026，Vol.43Issue(1)：12-21,10.DOI:10.7641/CTA.2025.50171
高阶交互下具有环星型结构的分数阶时滞神经网络分岔
Bifurcation of fractional-order time-delayed neural network with ring-star structure under higher-order interactions
摘要
Abstract
Currently,studies on the bifurcation dynamics of neural networks mainly focus on the binary interactions between neurons,while higher-order interactions between neurons in the form of groups and clusters are common in neural networks.However,the effect of higher-order interactions on the dynamics of neural networks is not well understood.The study of neural networks with higher-order interactions can further explore the higher-order properties and dynamics of real neural networks.In this paper,we propose a class of fractional-order time-delayed neural network with ring-star structure under higher-order interactions.The time delay is chosen as the bifurcation parameter,and the stability of the system and the sufficient condition for Hopf bifurcation are given,which reveals the mechanism of the higher-order coupling coefficient,the self-feedback coefficient and the fractional-order on the system dynamics.关键词
神经网络/高阶交互作用/分数阶/Hopf分岔Key words
neural networks/higher-order interactions/fractional-order/Hopf bifurcation引用本文复制引用
徐士国,肖敏,邱建龙,杨鑫松,黄创霞..高阶交互下具有环星型结构的分数阶时滞神经网络分岔[J].控制理论与应用,2026,43(1):12-21,10.基金项目
国家自然科学基金项目(62073172),江苏省自然科学基金项目(BK20221329)资助.Supported by the National Natural Science Foundation of China(62073172)and the Natural Science Foundation of Jiangsu Province of China(BK20221329). （62073172）
