具时滞的神经网络模型的非平凡周期解的全局存在性

Global Existence of Periodic Solutions in a Neural Network Model with Delay

本文考虑具时滞的n维神经网络模型.利用FDE的全局Hopf分支存在定理和Bendixson周期解不存在定理,给出该模型存在非平凡周期解的条件.

In this paper,we consider a n-dimensional neural network model with delay. Using the global Hopf bifurcation theorem for FDE due to J.Wu and Bendixson＇s criterion for high-dimensional ODE due to Li and Muldowney,we obtain a group of conditions that guarantee the model have multiple periodic solutions.