应用数学2025，Vol.38Issue(2)：412-423,12.
一类多节点耦合的双环神经网络局部稳定性与Hopf分支
Local Stability and Hopf Bifurcation of a Class of Multi-node Coupled Double-ring Neural Networks
摘要
Abstract
In this paper,the local stability and Hopf bifurcation properties of a class of multi-node coupled double-ring neural networks are studied.Firstly,sufficient conditions for the local stability of time-delay systems and the emergence of the Hopf bifurcation are studied by analyzing the distribution of roots of the characteristic equation.Then,key parameters for determining Hopf bifurcation are obtained by using the central manifold theory and the normal form method.And sufficient conditions for determining the specific properties of the Hopf bifurcation are also provided.Finally,the accuracy of the theory is confirmed through numerical simulation.The impact of interring coupling weights on stability and bifurcations is also discussed.关键词
局部稳定性/Hopf分支/时滞/多节点耦合Key words
Local stability/Hopf bifurcation/Time-delay/Multi-node coupled分类
数理科学引用本文复制引用
李俊,刘易成..一类多节点耦合的双环神经网络局部稳定性与Hopf分支[J].应用数学,2025,38(2):412-423,12.基金项目
湖南省自然科学青年基金(2022JJ40540) （2022JJ40540）
湖南省研究生创新基金(CX20230001) （CX20230001）
