Stability and bifurcation of a class of discrete-time neural networks

被引：41
|
作者：
He, Wangli [1 ]
Cao, Jinde [1 ]
机构：
[1] SE Univ, Dept Math, Nanjing 210096, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2007年 / 31卷 / 10期
基金：
中国国家自然科学基金;
关键词：
neural network; stability; Neimark-Sacker bifurcation; discrete-time system;
D O I：
10.1016/j.apm.2006.08.006
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, a class of discrete-time system modelling a network with two neurons is considered. Its linear stability is investigated and Neimark-Sacker bifurcation (also called Hopf bifurcation for map) is demonstrated by analyzing the corresponding characteristic equation. In particular, the explicit formula for determining the direction of Neimark-Sacker bifurcation and the stability of periodic solution is obtained by using the normal form method and the center manifold theory for discrete time system developed by Kuznetsov. The theoretical analysis is verified by numerical simulations. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：2111 / 2122
页数：12
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