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International Journal of Machine Learning and Cybernetics
Published in: International Journal of Machine Learning and Cybernetics 1/2015

01-02-2015 | Original Article

Period-adding and spiral organization of the periodicity in a Hopfield neural network

Author: Paulo C. Rech

Published in: International Journal of Machine Learning and Cybernetics | Issue 1/2015

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Abstract

This work reports two-dimensional parameter space plots, concerned with a three-dimensional Hopfield-type neural network with a hyperbolic tangent as the activation function. It shows that typical periodic structures embedded in a chaotic region, called shrimps, organize themselves in two independent ways: (i) as spirals that individually coil up toward a focal point while undergo period-adding bifurcations and, (ii) as a sequence with a well-defined law of formation, constituted by two different period-adding sequences inserted between.
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Metadata
Title
Period-adding and spiral organization of the periodicity in a Hopfield neural network
Author
Paulo C. Rech
Publication date
01-02-2015
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 1/2015
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-013-0222-0

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