Multistability in a Multidirectional Associative Memory Neural Network with Delays

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 ${\mathrm{3}}^l$ equilibria and ${\mathrm{2}}^l$ 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.