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

• Main Author: Rech P.C.*
• Publication Date: 2015
• Format: Article
• Language: eng
• Source: Repositório Institucional da Udesc
• dARK ID: ark:/33523/0013000003m31
• Download full: https://repositorio.udesc.br/handle/UDESC/8113

© 2013, Springer-Verlag Berlin Heidelberg.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.