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

doi:10.1016/S0252-9602(12)60211-2

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (1): 290-302.doi: 10.1016/S0252-9602(12)60211-2

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

Syed ABBAS|夏永辉*

School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, H.P. - 175001, India； Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

收稿日期:2011-03-05 修回日期:2011-11-08 出版日期:2013-01-20 发布日期:2013-01-20
通讯作者: 夏永辉，yhxia@zjnu.cn E-mail:sabbas.iitk@gmail.com; abbas@iitmandi.ac.in；yhxia@zjnu.cn
基金资助:
This work was supported by the National Natural Science Foundation of China (10901140, 11171090) and ZJNSFC (Y6100029, Y6100696, Y6110195).

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

Syed ABBAS, XIA Yong-Hui*

School of Basic Sciences, Indian Institute of Technology Mandi, Mandi, H.P. - 175001, India； Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Received:2011-03-05 Revised:2011-11-08 Online:2013-01-20 Published:2013-01-20
Contact: XIA Yong-Hui，yhxia@zjnu.cn E-mail:sabbas.iitk@gmail.com; abbas@iitmandi.ac.in；yhxia@zjnu.cn
Supported by:
This work was supported by the National Natural Science Foundation of China (10901140, 11171090) and ZJNSFC (Y6100029, Y6100696, Y6110195).

摘要/Abstract

摘要：

In this paper we discuss the existence and global attractivity of k-almost au-tomorphic sequence solution of a model of cellular neural networks. We consider the cor-responding 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 con-sidering such solutions of the neural networks.

关键词: almost automorphic sequence, difference equations, neural networks

Abstract:

Key words: almost automorphic sequence, difference equations, neural networks

中图分类号:

34C27

Syed ABBAS, 夏永辉. EXISTENCE AND ATTRACTIVITY OF k-ALMOST AUTOMORPHIC SEQUENCE SOLUTION OF A MODEL OF CELLULAR NEURAL NETWORKS WITH DELAY[J]. 数学物理学报(英文版), 2013, 33(1): 290-302.

Syed ABBAS, XIA Yong-Hui. EXISTENCE AND ATTRACTIVITY OF k-ALMOST AUTOMORPHIC SEQUENCE SOLUTION OF A MODEL OF CELLULAR NEURAL NETWORKS WITH DELAY[J]. Acta mathematica scientia,Series B, 2013, 33(1): 290-302.

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

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

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