Chaos and bifurcation in a new class of simple hopfield neural network

Authors:
Yan Huang;Xiao-Song Yang
Affiliations:
Department of Mathematics, Huazhong University of Science and Technology, Wuhan, P.R. China;Department of Mathematics, Huazhong University of Science and Technology, Wuhan, P.R. China
Venue:
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
Year:
2006

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Abstract

A class of simple Hopfield neural networks with a parameter is investigated. Numerical simulations show that the simple Hopfield neural networks can display chaotic attractors and periodic orbits for different parameters. The Lyapunov exponents are calculated, the bifurcation plot and several important phase portraits are presented as well.