A note on fractional feed-forward networks

Detalhes bibliográficos
Autor(a) principal: Pinto, Carla M.A.
Data de Publicação: 2016
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/9283
Resumo: We simulate a fractional feed-forward network. This network consists of three coupled identical ‘cells’ (aka, oscillators). We study the behaviour of the associated coupled cell system for variation of the order of the fractional derivative, 0 < α < 1. We consider the Caputo derivative, approximated by the Grünwald–Letnikov approach, using finite differences of fractional order. There is observed amplification of the small signals by exploiting the nonlinear response of each oscillator near its intrinsic Hopf bifurcation point for each value of α. The value of the Hopf bifurcation point varies with the order of the fractional derivative α.
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spelling A note on fractional feed-forward networksNonlinear oscillator networkFractional systemsFeed-forward networkAmplification of signalsWe simulate a fractional feed-forward network. This network consists of three coupled identical ‘cells’ (aka, oscillators). We study the behaviour of the associated coupled cell system for variation of the order of the fractional derivative, 0 < α < 1. We consider the Caputo derivative, approximated by the Grünwald–Letnikov approach, using finite differences of fractional order. There is observed amplification of the small signals by exploiting the nonlinear response of each oscillator near its intrinsic Hopf bifurcation point for each value of α. The value of the Hopf bifurcation point varies with the order of the fractional derivative α.WileyRepositório Científico do Instituto Politécnico do PortoPinto, Carla M.A.20162116-01-01T00:00:00Z2016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/9283eng1099-147610.1002/mma.3817metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-13T12:50:34Zoai:recipp.ipp.pt:10400.22/9283Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:29:53.461159Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv A note on fractional feed-forward networks
title A note on fractional feed-forward networks
spellingShingle A note on fractional feed-forward networks
Pinto, Carla M.A.
Nonlinear oscillator network
Fractional systems
Feed-forward network
Amplification of signals
title_short A note on fractional feed-forward networks
title_full A note on fractional feed-forward networks
title_fullStr A note on fractional feed-forward networks
title_full_unstemmed A note on fractional feed-forward networks
title_sort A note on fractional feed-forward networks
author Pinto, Carla M.A.
author_facet Pinto, Carla M.A.
author_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Pinto, Carla M.A.
dc.subject.por.fl_str_mv Nonlinear oscillator network
Fractional systems
Feed-forward network
Amplification of signals
topic Nonlinear oscillator network
Fractional systems
Feed-forward network
Amplification of signals
description We simulate a fractional feed-forward network. This network consists of three coupled identical ‘cells’ (aka, oscillators). We study the behaviour of the associated coupled cell system for variation of the order of the fractional derivative, 0 < α < 1. We consider the Caputo derivative, approximated by the Grünwald–Letnikov approach, using finite differences of fractional order. There is observed amplification of the small signals by exploiting the nonlinear response of each oscillator near its intrinsic Hopf bifurcation point for each value of α. The value of the Hopf bifurcation point varies with the order of the fractional derivative α.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
2116-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/9283
url http://hdl.handle.net/10400.22/9283
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1099-1476
10.1002/mma.3817
dc.rights.driver.fl_str_mv metadata only access
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rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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