Asymptotic constancy and periodicity for a single neuron model with delay

被引：2

作者：

Vas, Gabriella ^{[1
]}

机构：

[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期

关键词：

Delayed cellular network; Periodic solution; Asymptotic constancy; Positive feedback; FUNCTIONAL-DIFFERENTIAL EQUATIONS; SYSTEMS;

D O I：

10.1016/j.na.2009.01.078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the single neuron model equation (x) over dot(t) = -dx(t) + af (x(t)) + bf (x(t-1)) + 1, t > 0, where d > 0, b > 0 and f(x) = 1/2 (|x + 1| - |x - 1|). We examine the asymptotic behaviour of the solutions and confirm that although most of them are convergent, there exists a periodic solution if d < a + b - |I|. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2268 / 2277

页数：10

共 13 条

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