Multiplicity of almost periodic solutions for multidirectional associative memory neural network with distributed delays

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成果类型：

期刊论文

作者：

Zhou, Tiejun*;Wang, Yi;Wang, Min

通讯作者：

Zhou, Tiejun

作者机构：

[Wang, Min; Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.

[Wang, Yi] Hunan Agr Univ, Coll Informat Sci & Technol, Changsha 410128, Hunan, Peoples R China.

通讯机构：

[Zhou, Tiejun] H

Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.

语种：

英文

关键词：

Associative storage;Fixed point arithmetic;Memory architecture;Neural networks;Activation functions;Almost periodic solutions;Associative memory neural networks;Continuously distributed delays;Exponential dichotomy;Local exponential stability;Multi stabilities;Schauder's fixed point theorem;Associative processing;Article;correlation coefficient;exponential dichotomy;machine learning;mathematical analysis;mathematical model;mathematical parameters;mathematical variable;multidirectional associative memory neural network;multiplicity of almost periodic solutions;priority journal;probability;theory

期刊：

Neurocomputing

ISSN：

0925-2312

年：

2016

卷：

171

页码：

482-491

DOI：

10.1016/j.neucom.2015.06.080

基金类别：

In this paper, the multistability has been studied for the MAM neural network (3) with almost periodic coefficients and continuously distributed delays. Sufficient conditions are obtained which ensure the existence of 3N0 almost periodic solutions. It is proved that the 2N0 almost periodic solutions among them are exponentially stable. We know that constants and periodic functions are all special almost periodic functions. The discrete time delay can be obtained from distributed delays with

机构署名：

本校为第一且通讯机构

院系归属：

理学院

信息科学技术学院

摘要：

In this paper, the multiplicity of almost periodic solutions is studied for a multidirectional associative memory (MAM) neural network with almost periodic coefficients and continuously distributed delays. Under some assumptions on activation functions, some invariant subsets of the MAM neural network are constructed. The existence of multiple almost periodic solutions are obtained by using the theory of exponential dichotomy and Schauder's fixed point theorem. Furthermore, a sufficient condition is derived for the local exponential stability o...

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Multiplicity of almost periodic solutions for multidirectional associative memory neural network with distributed delays

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