Title : ( Hopf bifurcation analysis of a delayed five-neuron BAM neural network with two neurons in the X-layer )
Authors: Elham Javidmanesh , Zahra Afsharnejad ,
Full TextAbstract
In this paper, a bidirectional associative memory (BAM) neural network, which consists of two neurons in the X-layer and three neurons in the Y-layer, with two time delays will be studied. We conclude that under some assumptions, Hopf bifurcation occurs when the sum of two delays passes through a critical value. A numerical example is presented to support our theoretical results.
Keywords
Neural network; Hopf bifurcation; Characteristic equation; Time delay
@article{paperid:1041365,
author = {Javidmanesh, Elham and Afsharnejad, Zahra},
title = {Hopf bifurcation analysis of a delayed five-neuron BAM neural network with two neurons in the X-layer},
journal = {Iranian Journal of Numerical Analysis and Optimization},
year = {2013},
volume = {3},
number = {2},
month = {July},
issn = {2423-6977},
pages = {1--12},
numpages = {11},
keywords = {Neural network; Hopf bifurcation; Characteristic equation; Time delay},
}
%0 Journal Article
%T Hopf bifurcation analysis of a delayed five-neuron BAM neural network with two neurons in the X-layer
%A Javidmanesh, Elham
%A Afsharnejad, Zahra
%J Iranian Journal of Numerical Analysis and Optimization
%@ 2423-6977
%D 2013
