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

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.

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Bibliographic Details
Published in2007 Chinese Control Conference pp. 129 - 132
Main Authors Cao Hai, Li Qingdu
Format Conference Proceeding
LanguageEnglish
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
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Summary: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.
ISBN:9787811240559
7811240556
ISSN:1934-1768
DOI:10.1109/CHICC.2006.4347124