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

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 e...

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Published in:Acta mathematica scientia 2013, Vol.33 (1), p.290-302
Main Authors: ABBAS, Syed, XIA, Yonghui
Format: Article
Language:English
Subjects:
34C27
39A24
92B20
almost automorphic sequence
Cellular
Delay
Difference equations
Discretization
Mathematical analysis
Mathematical models
Neural networks
Periodic functions
全局吸引性
差分方程
序列
时滞
模型系统
离散化方法
细胞神经网络
解的存在性
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creator ABBAS, Syed
XIA, Yonghui
description 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.
doi_str_mv 10.1016/S0252-9602(12)60211-2
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ispartof Acta mathematica scientia, 2013, Vol.33 (1), p.290-302
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1572-9087
language eng
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subjects 34C27
39A24
92B20
almost automorphic sequence
Cellular
Delay
Difference equations
Discretization
Mathematical analysis
Mathematical models
Neural networks
Periodic functions
全局吸引性
差分方程
序列
时滞
模型系统
离散化方法
细胞神经网络
解的存在性
title EXISTENCE AND ATTRACTIVITY OF k-ALMOST AUTOMORPHIC SEQUENCE SOLUTION OF A MODEL OF CELLULAR NEURAL NETWORKS WITH DELAY
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