Periodic solutions for high-order cohen-grossberg-type BAM neural networks with time-delays

Authors:
Yunquan Ke;Chunfang Miao
Affiliations:
Department of Mathematics, Shaoxing University, shaoxing, P.R. China;Department of Mathematics, Shaoxing University, shaoxing, P.R. China
Venue:
ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
Year:
2011

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Abstract

In this paper, the existence and exponential stability is studied of periodic solutions for a class of high-order Cohen-Grossberg-type BAM neural networks with time-delays. By differential mean value theorem, integral mean value theorem and poincaré mapping, several sufficient conditions guaranteeing the existence, uniqueness and exponential stability of periodic solutions for high-order Cohen-Grossberg-type BAM neural networks with time-delays are given. An illustrative examples are also given in the end to show the effectiveness of our results.