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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The author thanks Conselho Nacional de Desenvolvimento Cientí fico e Tecnológico (CNPq), Brazil, for financial support.
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Rech, P.C. Period-adding and spiral organization of the periodicity in a Hopfield neural network. Int. J. Mach. Learn. & Cyber. 6, 1–6 (2015). https://doi.org/10.1007/s13042-013-0222-0
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DOI: https://doi.org/10.1007/s13042-013-0222-0