Multistability in a Multidirectional Associative Memory Neural Network with Delays | Zendy

Min Wang | Zendy; Tiejun Zhou | Zendy

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Multistability in a Multidirectional Associative Memory Neural Network with Delays

Author(s) -

Min Wang,

Tiejun Zhou

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/592056

Subject(s) - content addressable memory , associative property , artificial neural network , path (computing) , computer science , bidirectional associative memory , arithmetic , matrix (chemical analysis) , mathematics , algorithm , discrete mathematics , combinatorics , artificial intelligence , pure mathematics , chemistry , chromatography , programming language

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 equilibria and 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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