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 

机构地区：[1]School of Basic Sciences,Indian Institute of Technology Mandi,Mandi,H.P.-175001,India [2]Department of Mathematics,Zhejiang Normal University

出　　处：《Acta Mathematica Scientia》2013年第1期290-302,共13页数学物理学报（B辑英文版）

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

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.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.

关 键 词：almost automorphic sequence difference equations neural networks 

分 类 号：Q42[生物学—神经生物学] O175[生物学—生理学]