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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 468584, 10 pages
http://dx.doi.org/10.1155/2014/468584
Research Article

Stability and Hopf Bifurcation of an n-Neuron Cohen-Grossberg Neural Network with Time Delays

1Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China
2Department of Information Engineering, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China

Received 9 October 2013; Revised 28 January 2014; Accepted 29 January 2014; Published 6 March 2014

Academic Editor: Wan-Tong Li

Copyright © 2014 Qiming Liu and Sumin Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A Cohen-Grossberg neural network with discrete delays is investigated in this paper. Sufficient conditions for the existence of local Hopf bifurcation are obtained by analyzing the distribution of roots of characteristic equation. Moreover, the direction and stability of Hopf bifurcation are obtained by applying the normal form theory and the center manifold theorem. Numerical simulations are given to illustrate the obtained results.