Nonuniform behavior and stability of Hopfield neural networks with delay

Bibliographic Details
Main Author: Bento, António J. G
Publication Date: 2017
Other Authors: Oliveira, José J., Silva, César M.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/1822/46288
Summary: Based on a new abstract result on the behavior of nonautonomous delayed equations, we obtain a stability result for the solutions of a general discrete nonautonomous Hopfield neural network model with delay. As an application we improve some existing results on the stability of Hopfield models.
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spelling Nonuniform behavior and stability of Hopfield neural networks with delayDiscrete neural networksNonautonomous delay equationsAsymptotic stabilityPeriodic solutionsCiências Naturais::MatemáticasScience & TechnologyBased on a new abstract result on the behavior of nonautonomous delayed equations, we obtain a stability result for the solutions of a general discrete nonautonomous Hopfield neural network model with delay. As an application we improve some existing results on the stability of Hopfield models.Antonio J G Bento and Cesar M Silva were partially supported by FCT through CMA-UBI (project PEst-OE/MAT/UI0212/2013).Jose J Oliveira was supported by the Research Centre of Mathematics of the University of Minho with the Portuguese Funds from the Fundacao para a Ciencia e a Tecnologia, through the Project PEstOE/MAT/UI0013/2014.info:eu-repo/semantics/publishedVersionIOP PublishingUniversidade do MinhoBento, António J. GOliveira, José J.Silva, César M.20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/46288eng0951-77151361-654410.1088/1361-6544/aa773bhttp://iopscience.iop.org/article/10.1088/1361-6544/aa773b/pdfinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T07:16:00Zoai:repositorium.sdum.uminho.pt:1822/46288Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:21:03.506392Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Nonuniform behavior and stability of Hopfield neural networks with delay
title Nonuniform behavior and stability of Hopfield neural networks with delay
spellingShingle Nonuniform behavior and stability of Hopfield neural networks with delay
Bento, António J. G
Discrete neural networks
Nonautonomous delay equations
Asymptotic stability
Periodic solutions
Ciências Naturais::Matemáticas
Science & Technology
title_short Nonuniform behavior and stability of Hopfield neural networks with delay
title_full Nonuniform behavior and stability of Hopfield neural networks with delay
title_fullStr Nonuniform behavior and stability of Hopfield neural networks with delay
title_full_unstemmed Nonuniform behavior and stability of Hopfield neural networks with delay
title_sort Nonuniform behavior and stability of Hopfield neural networks with delay
author Bento, António J. G
author_facet Bento, António J. G
Oliveira, José J.
Silva, César M.
author_role author
author2 Oliveira, José J.
Silva, César M.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Bento, António J. G
Oliveira, José J.
Silva, César M.
dc.subject.por.fl_str_mv Discrete neural networks
Nonautonomous delay equations
Asymptotic stability
Periodic solutions
Ciências Naturais::Matemáticas
Science & Technology
topic Discrete neural networks
Nonautonomous delay equations
Asymptotic stability
Periodic solutions
Ciências Naturais::Matemáticas
Science & Technology
description Based on a new abstract result on the behavior of nonautonomous delayed equations, we obtain a stability result for the solutions of a general discrete nonautonomous Hopfield neural network model with delay. As an application we improve some existing results on the stability of Hopfield models.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
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 http://hdl.handle.net/1822/46288
url http://hdl.handle.net/1822/46288
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0951-7715
1361-6544
10.1088/1361-6544/aa773b
http://iopscience.iop.org/article/10.1088/1361-6544/aa773b/pdf
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833595893008302080

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