Pseudo phase plane, delay and fractional dynamics

Detalhes bibliográficos
Autor(a) principal: Lima, Miguel Francisco Martins
Data de Publicação: 2008
Outros Autores: Tenreiro Machado, J. A., Crisóstomo, Manuel Marques
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/13148
Resumo: This paper analyses the relationship between the signal delay and the fractional dynamics. It is shown that some experimental signals spectra are approximated by trendlines. Based on the slope of these trendlines the fractional or integer order behavior is determined. For the pseudo phase plane reconstruction of each signal, the time delays are calculated through the fractal dimension, as an alternative to the mutual information that is often used. The slopes of the trendlines spectra reveal a relationship with the fractal dimension of the pseudo phase plane and the corresponding time lag.
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spelling Pseudo phase plane, delay and fractional dynamicsTime lagMutual informationExperimental studySignal reconstructionPhase reconstructionFractional derivativePhase plane methodFractional calculusFractal dimensionDelay timePhase delayRoboticsThis paper analyses the relationship between the signal delay and the fractional dynamics. It is shown that some experimental signals spectra are approximated by trendlines. Based on the slope of these trendlines the fractional or integer order behavior is determined. For the pseudo phase plane reconstruction of each signal, the time delays are calculated through the fractal dimension, as an alternative to the mutual information that is often used. The slopes of the trendlines spectra reveal a relationship with the fractal dimension of the pseudo phase plane and the corresponding time lag.LavoisierRepositório Científico do Instituto Politécnico do PortoLima, Miguel Francisco MartinsTenreiro Machado, J. A.Crisóstomo, Manuel Marques20082115-02-01T00:00:00Z2008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/13148eng1269-693510.3166//JESA.42.1037-1051metadata 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:RCAAP2023-03-13T12:49:00Zoai:recipp.ipp.pt:10400.22/13148Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:28:42.903856Repositório 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 Pseudo phase plane, delay and fractional dynamics
title Pseudo phase plane, delay and fractional dynamics
spellingShingle Pseudo phase plane, delay and fractional dynamics
Lima, Miguel Francisco Martins
Time lag
Mutual information
Experimental study
Signal reconstruction
Phase reconstruction
Fractional derivative
Phase plane method
Fractional calculus
Fractal dimension
Delay time
Phase delay
Robotics
title_short Pseudo phase plane, delay and fractional dynamics
title_full Pseudo phase plane, delay and fractional dynamics
title_fullStr Pseudo phase plane, delay and fractional dynamics
title_full_unstemmed Pseudo phase plane, delay and fractional dynamics
title_sort Pseudo phase plane, delay and fractional dynamics
author Lima, Miguel Francisco Martins
author_facet Lima, Miguel Francisco Martins
Tenreiro Machado, J. A.
Crisóstomo, Manuel Marques
author_role author
author2 Tenreiro Machado, J. A.
Crisóstomo, Manuel Marques
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Lima, Miguel Francisco Martins
Tenreiro Machado, J. A.
Crisóstomo, Manuel Marques
dc.subject.por.fl_str_mv Time lag
Mutual information
Experimental study
Signal reconstruction
Phase reconstruction
Fractional derivative
Phase plane method
Fractional calculus
Fractal dimension
Delay time
Phase delay
Robotics
topic Time lag
Mutual information
Experimental study
Signal reconstruction
Phase reconstruction
Fractional derivative
Phase plane method
Fractional calculus
Fractal dimension
Delay time
Phase delay
Robotics
description This paper analyses the relationship between the signal delay and the fractional dynamics. It is shown that some experimental signals spectra are approximated by trendlines. Based on the slope of these trendlines the fractional or integer order behavior is determined. For the pseudo phase plane reconstruction of each signal, the time delays are calculated through the fractal dimension, as an alternative to the mutual information that is often used. The slopes of the trendlines spectra reveal a relationship with the fractal dimension of the pseudo phase plane and the corresponding time lag.
publishDate 2008
dc.date.none.fl_str_mv 2008
2008-01-01T00:00:00Z
2115-02-01T00:00:00Z
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/10400.22/13148
url http://hdl.handle.net/10400.22/13148
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1269-6935
10.3166//JESA.42.1037-1051
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
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 Lavoisier
publisher.none.fl_str_mv Lavoisier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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
repository.mail.fl_str_mv
_version_ 1799131381927772160

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