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

被引：37

作者：

Abbas, Syed ^{[1
]}

Xia, Yonghui ^{[2
]}

机构：

[1] Indian Inst Technol Mandi, Sch Basic Sci, Mandi 175001, HP, India

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 01期

基金：

中国国家自然科学基金;

关键词：

almost automorphic sequence; difference equations; neural networks; GLOBAL EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS; TIME;

D O I：

10.1016/S0252-9602(12)60211-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：290 / 302

页数：13

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