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

被引：0
作者：
Elham Javidmanesh
Zahra Afsharnezhad
Sohrab Effati
机构：
[1] Ferdowsi University of Mashhad,Department of Applied Mathematics
来源：
Nonlinear Dynamics | 2013年 / 72卷
关键词：
Neural network; Stability; Periodic solution; Hopf bifurcation; Time delay; Center manifold;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：149 / 164
页数：15
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