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ASYMPTOTIC BEHAVIORS OF SOLUTIONS OF FRUSTRATED NEURAL NETWORKS WITH MCCULLOCH-PITTS NONLINEARITY

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【Author】 Liu Kaiyu( Qian Xiangzheng((College of Math. and Econometrics, Hunan University, Changsha 410082)Zhang Hongqiang( (Dept. of Inform. and Comput. Sci., Changsha Comm. University, Changsha 410076)

【机构】 College of Math. and Econometrics； Hunan University； Changsha 410082； Dept. of Inform. and Comput. Sci.； Changsha Comm. Universiiy； Changsha 410076；

【摘要】 <正> This paper is concerned with a delay differential equationx=-x + f(y(t-r)), y=-y-f(x(t-r)),where delay r is a positive constant, and f is a signal transmission function of McCulloch-Pitts type.We obtain some sufficient and necessary conditions for the asymptotic behavior of network (*) with σ ≤-1 .The results obtained show that the large time behaviors of solutions of (*) are dependent of r if σ= -1. These results improve the corresponding theorems in [3] by removing the restriction of the initial conditions.更多还原

【Abstract】 This paper is concerned with a delay differential equationx=-x + f(y(t-r)), y=-y-f(x(t-r)),where delay r is a positive constant, and f is a signal transmission function of McCulloch-Pitts type.We obtain some sufficient and necessary conditions for the asymptotic behavior of network (*) with σ ≤-1 .The results obtained show that the large time behaviors of solutions of (*) are dependent of r if σ= -1. These results improve the corresponding theorems in [3] by removing the restriction of the initial conditions.更多还原

【关键词】 asymptotic behavior； delay differential equation； oscillation； neural network；
【Key words】 asymptotic behavior； delay differential equation； oscillation； neural network；

【文献出处】 Annals of Differential Equations ,微分方程年刊(英文版) , 编辑部邮箱 ,2003年03期

【分类号】O175.2
【下载频次】15

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