Abstract and Applied Analysis
Volume 2012 (2012), Article ID 369725, 14 pages
http://dx.doi.org/10.1155/2012/369725
Research Article

Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays

Li Wan,1 Qinghua Zhou,2 and Jizi Li3

1School of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, China
2Department of Mathematics, Zhaoqing University, Zhaoqing 526061, China
3School of Management, Wuhan Textile University, Wuhan 430073, China

Received 22 August 2012; Accepted 24 September 2012

Academic Editor: Xiaodi Li

Copyright © 2012 Li Wan et al. 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

This paper investigates dynamical behaviors of stochastic Cohen-Grossberg neural network with delays and reaction diffusion. By employing Lyapunov method, Poincaré inequality and matrix technique, some sufficient criteria on ultimate boundedness, weak attractor, and asymptotic stability are obtained. Finally, a numerical example is given to illustrate the correctness and effectiveness of our theoretical results.