Abstract and Applied Analysis

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

Li Wan, Qinghua Zhou, and Jizi Li

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 369725, 14 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1365174035

Digital Object Identifier
doi:10.1155/2012/369725

Mathematical Reviews number (MathSciNet)
MR2984040

Zentralblatt MATH identifier
1253.93099

Citation

Wan, Li; Zhou, Qinghua; Li, Jizi. Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 369725, 14 pages. doi:10.1155/2012/369725. https://projecteuclid.org/euclid.aaa/1365174035


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