EXISTENCE AND ATTRACTIVITY OF k-ALMOST AUTOMORPHIC SEQUENCE SOLUTION OF A MODEL OF CELLULAR NEURAL NETWORKS WITH DELAY

作     者：Syed ABBAS 夏永辉 

作者机构：School of Basic SciencesIndian Institute of Technology MandiMandiH.P.-175001India Department of MathematicsZhejiang Normal University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2013年第33卷第1期

页      面：290-302页

核心收录：

学科分类：0710[理学-生物学] 07[理学] 071006[理学-神经生物学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China (10901140, 11171090) ZJNSFC (Y6100029, Y6100696, Y6110195) 

主　　题：almost automorphic sequence difference equations neural networks 

摘      要：In this paper we discuss the existence and global attractivity of k-almost automorphic sequence solution of a model of cellular neural networks. We consider the corresponding difference equation analogue of the model system using suitable discretization method and obtain certain conditions for the existence of solution. Almost automorphic function is a good generalization of almost periodic function. This is the first paper considering such solutions of the neural networks.