The split-step 胃-methods for stochastic delay Hopfield neural networks

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• 作者：A. Rathinasamy ^{a_rsamy@yahoo.com}
• 关键词：Stochastic delay Hopfield neural networks ; Numerical solutions ; Split-step 胃-methods ; Mean-square stability
• 刊名：Applied Mathematical Modelling
• 出版年：2012
• 期刊代码：6_0307904x
• 类别：cp
• 出版时间：August, 2012
• 卷：36
• 期：8
• 页码：3477-3485
• 文件大小：384 K

摘要

In this paper, we construct a new split-step numerical method for stochastic delay Hopfield neural networks. The main aim of this paper is to investigate the mean-square stability of this split-step 胃-methods for stochastic delay Hopfield neural networks. It is proved that the split-step 胃-methods are mean-square stable under suitable conditions. Numerical experiments verify the numerical stability results obtained from theory. A comparison between this work and Ronghua et al. is also discussed in the example.