Symmetry discrete-time delayed neural network

Advances in Difference Equations

Xingjian Wang¹  Chunrui Zhang¹ 

[1] Northeast Forestry University, Harbin, P.R. China

关键词: discrete neural network;    stability;    Hopf bifurcation;    multiple periodic solutions;   

DOI  :  10.1186/1687-1847-2012-207

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider a three-dimensional discrete neural network model with delay. The characteristic equation of the linearized system at the zero solution is a polynomial equation involving very high order terms. We derive some sufficient and necessary conditions on the asymptotic stability and multiple bifurcations of the zero solution. We give computer simulations to support the theoretical predictions.

【 授权许可】

CC BY