Chaos and hyperchaos in a Hopfield neural network

Bibliographic Details
Main Author: Rech P.C.*
Publication Date: 2011
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000qqm1
Download full: https://repositorio.udesc.br/handle/UDESC/9474
Summary: In this paper we investigate numerically the parameter-space of an autonomous system of four nonlinear first-order ordinary differential equations, which represents a Hopfield neural network with four neurons. The study considers three independent two-dimensional cross-sections of the three-dimensional parameter-space generated by this mathematical model, every constructed considering Lyapunov exponent values. We show that is possible to completely characterize the dynamics of the system based in these three plots, which are representative of the three-dimensional parameter-space as a whole. © 2011 Elsevier B.V.
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spelling Chaos and hyperchaos in a Hopfield neural networkIn this paper we investigate numerically the parameter-space of an autonomous system of four nonlinear first-order ordinary differential equations, which represents a Hopfield neural network with four neurons. The study considers three independent two-dimensional cross-sections of the three-dimensional parameter-space generated by this mathematical model, every constructed considering Lyapunov exponent values. We show that is possible to completely characterize the dynamics of the system based in these three plots, which are representative of the three-dimensional parameter-space as a whole. © 2011 Elsevier B.V.2024-12-06T19:12:06Z2011info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlep. 3361 - 33641872-828610.1016/j.neucom.2011.05.016https://repositorio.udesc.br/handle/UDESC/9474ark:/33523/001300000qqm1Neurocomputing7417Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T21:03:04Zoai:repositorio.udesc.br:UDESC/9474Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T21:03:04Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Chaos and hyperchaos in a Hopfield neural network
title Chaos and hyperchaos in a Hopfield neural network
spellingShingle Chaos and hyperchaos in a Hopfield neural network
Rech P.C.*
title_short Chaos and hyperchaos in a Hopfield neural network
title_full Chaos and hyperchaos in a Hopfield neural network
title_fullStr Chaos and hyperchaos in a Hopfield neural network
title_full_unstemmed Chaos and hyperchaos in a Hopfield neural network
title_sort Chaos and hyperchaos in a Hopfield neural network
author Rech P.C.*
author_facet Rech P.C.*
author_role author
dc.contributor.author.fl_str_mv Rech P.C.*
description In this paper we investigate numerically the parameter-space of an autonomous system of four nonlinear first-order ordinary differential equations, which represents a Hopfield neural network with four neurons. The study considers three independent two-dimensional cross-sections of the three-dimensional parameter-space generated by this mathematical model, every constructed considering Lyapunov exponent values. We show that is possible to completely characterize the dynamics of the system based in these three plots, which are representative of the three-dimensional parameter-space as a whole. © 2011 Elsevier B.V.
publishDate 2011
dc.date.none.fl_str_mv 2011
2024-12-06T19:12:06Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv 1872-8286
10.1016/j.neucom.2011.05.016
https://repositorio.udesc.br/handle/UDESC/9474
dc.identifier.dark.fl_str_mv ark:/33523/001300000qqm1
identifier_str_mv 1872-8286
10.1016/j.neucom.2011.05.016
ark:/33523/001300000qqm1
url https://repositorio.udesc.br/handle/UDESC/9474
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Neurocomputing
74
17
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 3361 - 3364
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
instacron:UDESC
instname_str Universidade do Estado de Santa Catarina (UDESC)
instacron_str UDESC
institution UDESC
reponame_str Repositório Institucional da Udesc
collection Repositório Institucional da Udesc
repository.name.fl_str_mv Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)
repository.mail.fl_str_mv ri@udesc.br
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