Title : ( Hopf bifurcation in a general n-neuron ring network with n time delays )
Authors: Elham Javidmanesh , محسن خورشیدی ,
Full TextAbstract
In this paper, we consider a general ring network consisting of n neurons and n time delays. By analyzing the associated characteristic equation, a classification according to n is presented. It is investigated that Hopf bifurcation occurs when the sum of the n delays passes through a critical value.In fact, a family of periodic solutions bifurcate from the origin, while the zero solution loses its asymptotically stability. To illustrate our theoretical results, numerical simulation is given.
Keywords
Ring network; Stability; Periodic solution; Hopf bifurcation; Time delay
@article{paperid:1044140,
author = {Javidmanesh, Elham and محسن خورشیدی},
title = {Hopf bifurcation in a general n-neuron ring network with n time delays},
journal = {Iranian Journal of Numerical Analysis and Optimization},
year = {2014},
volume = {4},
number = {2},
month = {November},
issn = {2423-6977},
pages = {15--30},
numpages = {15},
keywords = {Ring network; Stability; Periodic solution; Hopf bifurcation; Time delay},
}
%0 Journal Article
%T Hopf bifurcation in a general n-neuron ring network with n time delays
%A Javidmanesh, Elham
%A محسن خورشیدی
%J Iranian Journal of Numerical Analysis and Optimization
%@ 2423-6977
%D 2014
