Table of Contents
Advances in Artificial Neural Systems
Volume 2012, Article ID 571358, 5 pages
http://dx.doi.org/10.1155/2012/571358
Research Article

Hopfield Neural Networks with Unbounded Monotone Activation Functions

Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Received 24 August 2012; Revised 17 December 2012; Accepted 17 December 2012

Academic Editor: Chao-Ton Su

Copyright © 2012 Nasser-eddine Tatar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

For the Hopfield Neural Network problem we consider unbounded monotone nondecreasing activation functions. We prove convergence to zero in an exponential manner provided that we start with sufficiently small initial data.