Stability analysis of periodic solutions for stochastic reaction-diffusion high-order Cohen-Grossberg-type BAM neural networks with delays

Authors:
Yunquan Ke;Chunfang Miao
Affiliations:
Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang, P.R. China;Department of Mathematics, Shaoxing University, Shaoxing, Zhejiang, P.R. China
Venue:
WSEAS Transactions on Mathematics
Year:
2011

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Abstract

In this paper, the mean square exponential stability of the periodic solution for stochastic reaction-diffusion high-order Cohen-Grossberg-Type BAM neural networks with time delays is investigated. By constructing suitable Lyapunov function, applying Itô formula and Poincaré mapping, we give some sufficient conditions to guarantee the mean square exponential stability of the periodic solution. An illustrative example are also given in the end to show the effectiveness of our results.