具有时滞的Cohen-Grossberg神经网络的Hopf分支全局存在性研究

摘要

利用泛函微分方程的度理论,研究一类具有时滞的Cohen-Grossberg神经网络的全局分支的存在性,研究结果为该类神经网络的应用设计提供理论基础.%Based on the degree theory of functional differential equations,global existence of Hopf bifurcation in a class of delayed Cohen-Grossberg neural networks is investigated. The results are theoretical foundation for practical design of the neural networks.