维具时滞反馈非线性差分系统解的长时间状态
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引用本文:侯新华,邓新春.维具时滞反馈非线性差分系统解的长时间状态[J].经济数学,2012,(4):32-37
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作者单位
侯新华,邓新春 (湖南工业职业技术学院 湖南长沙410208) 
中文摘要:在一类m元离散时滞差分方程神经网络模型中引入了具有明显实际意义的非线性不连续信号传输函数,并利用离散系统的解半环分析这一强有力工具,通过引入一个辅助系统,证明了该模型的每个解或者是最终周期的或者是无界的这一有趣的动力学性质
中文关键词:离散神经网络  时滞  最终周期性  周期解
 
Large-time Behavior of Solutions for m Dimensional of Systems of Nonlinear Difference Equations with Delay Feedback
Abstract:This paper proposed a discrete-time difference neural network model for m neurons with delayed feedback, and introduced a class of nonlinear discontinuous signal function. By introducing an auxiliary system and employing semicycle analysis as a powerful tool, it is shown that every solution of such a system is either truncated periodic or unbounded.
keywords:discrete-time neural network  delay  truncated periodicity  periodic solution
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