Almost periodic solutions of shunting inhibitory cellular neural networks on time scales

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• 作者：Yongkun Li ; ^{yklie@ynu.edu.cn} ; Chao Wang
• 关键词：Almost periodic solutions ; Shunting inhibitory cellular neural networks ; Asymptotic stability ; Time scales
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2012
• 期刊代码：89_10075704
• 类别：ph
• 出版时间：August, 2012
• 卷：17
• 期：8
• 页码：3258-3266
• 文件大小：250 K

摘要

In this paper shunting inhibitory cellular neural networks (SICNNs) with time-varying and continuously distributed delays are considered on time scale . Without assuming the global Lipschitz conditions of activation functions, some new sufficient conditions for the existence and asymptotic stability of the almost periodic solutions are established on time scales. Two numerical examples are given to illustrate our feasible results.