Title : ( Existence and stability analysis of bifurcating periodic solutions in a delayed five-neuron BAM neural network model )
Authors: Elham Javidmanesh , Zahra Afsharnejad , Sohrab Effati ,
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Abstract
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.
Keywords
Neural network · Stability · Periodic solution · Hopf bifurcation · Time delay · Center manifold
@article{paperid:1034013,
author = {Javidmanesh, Elham and Afsharnejad, Zahra and Effati, Sohrab},
title = {Existence and stability analysis of bifurcating periodic solutions in a delayed five-neuron BAM neural network model},
journal = {Nonlinear Dynamics},
year = {2013},
volume = {72},
number = {1},
month = {February},
issn = {0924-090X},
pages = {149--164},
numpages = {15},
keywords = {Neural network · Stability · Periodic
solution · Hopf bifurcation · Time delay · Center
manifold},
}
%0 Journal Article
%T Existence and stability analysis of bifurcating periodic solutions in a delayed five-neuron BAM neural network model
%A Javidmanesh, Elham
%A Afsharnejad, Zahra
%A Effati, Sohrab
%J Nonlinear Dynamics
%@ 0924-090X
%D 2013
