期刊论文

Existence of Limit Cycle in a Class of Delay Network with a Ring of Three Neurons

中文

南华大学学报(自然科学版)

1673-0062

2007

21

4

5-8,29

10.19431/j.cnki.1673-0062.2007.04.002

国家自然科学基金资助项目（10601016）；

本校为其他机构

本文研究了一类具不连续信号传输函数的环状时滞三元神经网络模型,其中每个神经元都受到两个输入:一个是来自它的下一个神经元的抑制作用,另一个是来自它的上一个神经元的激励作用.利用该系统的对称性和压缩映射原理,对于时滞大于零,我们得到极限环的存在性和吸引的充分条件.

In this paper,we consider a class of delay network with a ring of three identical neurons which has discontinuous message function,where each neuron receives two inputs: One from the next neuron by inhibitory interaction and another from the previous neuron by excitative interaction.By studying its limiting equation applied its symmetry and contractive map principle,we obtain sufficient condition for the existence of attrac...