August  2004, 4(3): 851-863. doi: 10.3934/dcdsb.2004.4.851

A simple delayed neural network with large capacity for associative memory

1. 

Department of Mathematics and Statistics, York University, Toronto, Canada M3J 1P3, Canada

2. 

Department of Mathematics Northeast Normal University, 130024 Changchun, Jilin, China

Received  January 2003 Revised  February 2004 Published  May 2004

We consider periodic solutions of a system of difference equations with delay arising from a discrete neural network. We show that such a small network possesses a huge amount of stable periodic orbits with large domains of attraction if the delay is large, and thus the network has the potential large capacity for associative memory and for temporally periodic pattern recognition.
Citation: Jianhong Wu, Ruyuan Zhang. A simple delayed neural network with large capacity for associative memory. Discrete and Continuous Dynamical Systems - B, 2004, 4 (3) : 851-863. doi: 10.3934/dcdsb.2004.4.851
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