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ASYMPTOTIC BEHAVIORS OF SOLUTIONS OF FRUSTRATED NEURAL NETWORKS WITH MCCULLOCH-PITTS NONLINEARITY
作者姓名:刘开宇  钱祥征  张弘强
作者单位:College of Math. and Econometrics,Hunan University,Changsha 410082,College of Math. and Econometrics,Hunan University,Changsha 410082,Dept. of Inform. and Comput. Sci.,Changsha Comm. Universiiy,Changsha 410076
摘    要: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.


ASYMPTOTIC BEHAVIORS OF SOLUTIONS OF FRUSTRATED NEURAL NETWORKS WITH MCCULLOCH-PITTS NONLINEARITY
Liu Kaiyu.ASYMPTOTIC BEHAVIORS OF SOLUTIONS OF FRUSTRATED NEURAL NETWORKS WITH MCCULLOCH-PITTS NONLINEARITY[J].微分方程年刊(英文版),2003(3).
Authors:Liu Kaiyu
Abstract:
Keywords:asymptotic behavior  delay differential equation  oscillation  neural network
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