Stability analysis of a single neuron model with delay

被引：12
作者：
Gyori, I [1 ]
Hartung, F [1 ]
机构：
[1] Univ Veszprem, Dept Math & Comp, H-8201 Veszprem, Hungary
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 157卷 / 01期
基金：
匈牙利科学研究基金会;
关键词：
delayed cellular neural networks; global asymptotic stability; numerical approximations;
D O I：
10.1016/S0377-0427(03)00376-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the asymptotic behavior and numerical approximation of the single neuron model equation x(t)=-dx(t)+af(x(t))+bf(x(t-tau))+I, t greater than or equal to 0 (1), where d > 0 and f(x) = 0.5(\x+1\-\x-1\). We obtain new sufficient conditions for global asymptotic stability of constant equilibriums of (1), give several numerical examples to illustrate our results; and formulate conjectures on the asymptotic behavior of the solutions based on our numerical experiments. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码：73 / 92
页数：20
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