Multistability in a Multidirectional Associative Memory Neural Network with Delays

成果类型：

期刊论文

作者：

Wang, Min;Zhou, Tiejun*

通讯作者：

Zhou, Tiejun

作者机构：

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

[Zhou, Tiejun] Hunan Agr Univ, Coll Sci, 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：

This paper focuses on the multidirectional associative memory (MAM) neural networks with m fields which is more advanced to realize associative memory. Based on the Brouwer fixed point theorem and Dini upper right derivative;it is confirmed that the multidirectional associative memory neural network can have 3l equilibria and 2l equilibria of them are stable;where l is a parameter associated with the number of neurons. Furthermore;an example is given to illustrate the effectiveness of the results. Published: 2013 First available in Project Euclid: 14 March 2014 zbMATH: 06950768 MathSciNet: MR3138931 Digital Object Identifier: 10.1155/2013/592056

期刊：

Journal of Applied Mathematics

ISSN：

1110-757X

年：

2013

卷：

2013

页码：

592056:1-592056:10

DOI：

10.1155/2013/592056

机构署名：

本校为第一且通讯机构

院系归属：

理学院

东方科技学院

摘要：

This paper focuses on the multidirectional associative memory (MAM) neural networks with m fields which is more advanced to realize associative memory. Based on the Brouwer fixed point theorem and Dini upper right derivative, it is confirmed that the multidirectional associative memory neural network can have 3(l). equilibria and 2(l). equilibria of them are stable, where l is a parameter associated with the number of neurons. Furthermore, an exam...

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