Stability and bifurcation analysis on a discrete-time system of two neurons

被引：33

作者：

Yuan, ZH ^{[1
]}

Hu, DW

Huang, LH

机构：

[1] Natl Univ Def Technol, Coll Mechatron & Automat, Changsha 410073, Hunan, Peoples R China

[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 11期

关键词：

neural network; stability; Neimark-Sacker bifurcation;

D O I：

10.1016/j.aml.2004.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a discrete-time system modelling a network of two neurons. The situation with self-connections is addressed in terms of stability and bifurcation analysis. Choosing an appropriate bifurcation parameter, we prove that the Neimark-Sacker bifurcation occurs when the bifurcation parameter exceeds a critical value. The direction and stability of bifurcation are determined by the normal form theory and center manifold theorem. Results of some computer simulations are displayed graphically. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1239 / 1245

页数：7

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