Existence and stability analysis of bifurcating periodic solutions in a delayed five-neuron BAM neural network model

被引：26

作者：

Javidmanesh, Elham ^{[1
]}

Afsharnezhad, Zahra ^{[1
]}

Effati, Sohrab ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Appl Math, Mashhad, Iran

来源：

NONLINEAR DYNAMICS | 2013年 / 72卷 / 1-2期

关键词：

Neural network; Stability; Periodic solution; Hopf bifurcation; Time delay; Center manifold; HOPF-BIFURCATION; EXPONENTIAL STABILITY; TIME DELAYS; NEURONS; RING;

D O I：

10.1007/s11071-012-0699-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a bidirectional associative memory (BAM) neural network model, which consists of two neurons in the X-layer and three neurons in the Y-layer, with two time delays, will be considered. By analyzing the associated characteristic equation, we obtain that Hopf bifurcation occurs and a family of periodic solutions appears. Moreover, the stability and the period of the bifurcating periodic solutions are studied. To illustrate our theoretical results, numerical simulations are presented.

引用

页码：149 / 164

页数：16

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