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2013 Multistability in a Multidirectional Associative Memory Neural Network with Delays
Min Wang, Tiejun Zhou
J. Appl. Math. 2013: 1-10 (2013). DOI: 10.1155/2013/592056

Abstract

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.

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Min Wang. Tiejun Zhou. "Multistability in a Multidirectional Associative Memory Neural Network with Delays." J. Appl. Math. 2013 1 - 10, 2013. https://doi.org/10.1155/2013/592056

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950768
MathSciNet: MR3138931
Digital Object Identifier: 10.1155/2013/592056

Rights: Copyright © 2013 Hindawi

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