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

Li Wan | Zendy; Qinghua Zhou | Zendy; Jizi Li | Zendy

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

Author(s) -

Li Wan,

Qinghua Zhou,

Jizi Li

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/369725

Subject(s) - mathematics , correctness , attractor , reaction–diffusion system , artificial neural network , exponential stability , diffusion , stability (learning theory) , matrix (chemical analysis) , control theory (sociology) , mathematical analysis , computer science , algorithm , control (management) , nonlinear system , artificial intelligence , physics , materials science , quantum mechanics , machine learning , composite material , thermodynamics

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

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