Multistability in a multidirectional associative memory neural network with delays
type: Item
instance of: scholarly article
title: Multistability in a multidirectional associative memory neural network with delays
zbMATH Open document ID: 1397.92025
DOI: 10.1155/2013/592056
author: Min Wang
author: Tiejun Zhou
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: 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 example is given to illustrate the effectiveness of the results.
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 6950768
zbMATH Keywords: multidirectional associative memory neural networks
zbMATH Keywords: Brouwer fixed point theorem
zbMATH Keywords: Dini upper right derivative
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/592056
OpenAlex ID: W1982304282
Wikidata QID: Q59003183
description: scientific article; zbMATH DE number 6950768