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具有混合时滞的中立型Hopfield神经网络的概周期解 被引量:2

Almost Periodic Solution for Neutral Type Hopfield Neural Networks with Mixed Delays
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摘要 研究一类具有混合时滞的中立型Hopfield神经网络概周期解.通过运用指数二分性及不动点定理,获得了其概周期解的存在性与全局指数稳定性的充分条件,所得结果是新的,并且推广和改进了已有文献的相关结果. In this paper, the almost periodic solutions of neutral type Hopfield neutral networks are studied, by using exponential dichotomy and fixed-point theorem, some new suf- ficient conditions of the existence and global exponential stability of almost periodic solutions are obtained. The results of this paper are new and they extend and improved previously known results.
出处 《数学的实践与认识》 北大核心 2017年第6期194-208,共15页 Mathematics in Practice and Theory
基金 国家自然科学基金(11161029) 广西高校科学技术研究(2013YB282)
关键词 混合时滞 中立型Hopfield神经网络 概周期解 指数二分性 不动点定理 mixed delays neutral type Hopfield neural networks almost periodic solution exponential dichotomy fixed-point theorem
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