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

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

Syed ABBAS|夏永辉*   

  1. 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*   

  1. 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:

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:

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.

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

中图分类号: 

  • 34C27