Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays
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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/369725 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850221905368317952 |
|---|---|
| author | Li Wan Qinghua Zhou Jizi Li |
| author_facet | Li Wan Qinghua Zhou Jizi Li |
| author_sort | Li Wan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-718721b2d6964bce83c9f3703bdcb700 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-718721b2d6964bce83c9f3703bdcb7002025-08-20T02:06:32ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/369725369725Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with DelaysLi Wan0Qinghua Zhou1Jizi Li2School of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, ChinaDepartment of Mathematics, Zhaoqing University, Zhaoqing 526061, ChinaSchool of Management, Wuhan Textile University, Wuhan 430073, ChinaThis 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.http://dx.doi.org/10.1155/2012/369725 |
| spellingShingle | Li Wan Qinghua Zhou Jizi Li Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays Abstract and Applied Analysis |
| title | Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays |
| title_full | Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays |
| title_fullStr | Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays |
| title_full_unstemmed | Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays |
| title_short | Dynamical Behaviors of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays |
| title_sort | dynamical behaviors of stochastic reaction diffusion cohen grossberg neural networks with delays |
| url | http://dx.doi.org/10.1155/2012/369725 |
| work_keys_str_mv | AT liwan dynamicalbehaviorsofstochasticreactiondiffusioncohengrossbergneuralnetworkswithdelays AT qinghuazhou dynamicalbehaviorsofstochasticreactiondiffusioncohengrossbergneuralnetworkswithdelays AT jizili dynamicalbehaviorsofstochasticreactiondiffusioncohengrossbergneuralnetworkswithdelays |