Articles

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

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

Received date: 2011-03-05

  Revised date: 2011-11-08

  Online published: 2013-01-20

Supported by

This work was supported by the National Natural Science Foundation of China (10901140, 11171090) and ZJNSFC (Y6100029, Y6100696, Y6110195).

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(12)60211-2

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