Chaos in a Simple Hopfield Neural Network Satisfying Dale's Rule

• Published in: 2007 Chinese Control Conference pp. 129 - 132
• Main Authors: Cao Hai, Li Qingdu
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.07.2007
• Subjects: Artificial neural networks; Biological neural networks; Chaos; Computer science; Electronic mail; Hopfield neural networks; Neural networks; Neurons; Nonlinear systems; Telecommunication control; Topological horseshoe

This paper shows that chaos can take place in a simple three dimensional Hopfield neural network with its connection matrix satisfying Dale's rule. In addition, a rigorous computer-assisted verification of chaoticity is given by virtue of topological horseshoe theory.