Complex order van der Pol oscillator

Detalhes bibliográficos
Autor(a) principal: Pinto, Carla M.A.
Data de Publicação: 2011
Outros Autores: Machado, J.A.Tenreiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/4141
Resumo: In this paper a complex-order van der Pol oscillator is considered. The complex derivative Dα±ȷβ , with α,β∈R + is a generalization of the concept of integer derivative, where α=1, β=0. By applying the concept of complex derivative, we obtain a high-dimensional parameter space. Amplitude and period values of the periodic solutions of the two versions of the complex-order van der Pol oscillator are studied for variation of these parameters. Fourier transforms of the periodic solutions of the two oscillators are also analyzed.
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spelling Complex order van der Pol oscillatorVan der Pol oscillatorComplex order derivativeDynamical behaviorIn this paper a complex-order van der Pol oscillator is considered. The complex derivative Dα±ȷβ , with α,β∈R + is a generalization of the concept of integer derivative, where α=1, β=0. By applying the concept of complex derivative, we obtain a high-dimensional parameter space. Amplitude and period values of the periodic solutions of the two versions of the complex-order van der Pol oscillator are studied for variation of these parameters. Fourier transforms of the periodic solutions of the two oscillators are also analyzed.SpringerRepositório Científico do Instituto Politécnico do PortoPinto, Carla M.A.Machado, J.A.Tenreiro2014-03-06T15:47:23Z20112011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/4141eng0924-090X10.1007/s11071-010-9886-0info: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:RCAAP2023-03-13T12:44:01Zoai:recipp.ipp.pt:10400.22/4141Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:25:01.928524Repositório 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 Complex order van der Pol oscillator
title Complex order van der Pol oscillator
spellingShingle Complex order van der Pol oscillator
Pinto, Carla M.A.
Van der Pol oscillator
Complex order derivative
Dynamical behavior
title_short Complex order van der Pol oscillator
title_full Complex order van der Pol oscillator
title_fullStr Complex order van der Pol oscillator
title_full_unstemmed Complex order van der Pol oscillator
title_sort Complex order van der Pol oscillator
author Pinto, Carla M.A.
author_facet Pinto, Carla M.A.
Machado, J.A.Tenreiro
author_role author
author2 Machado, J.A.Tenreiro
author2_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.
Machado, J.A.Tenreiro
dc.subject.por.fl_str_mv Van der Pol oscillator
Complex order derivative
Dynamical behavior
topic Van der Pol oscillator
Complex order derivative
Dynamical behavior
description In this paper a complex-order van der Pol oscillator is considered. The complex derivative Dα±ȷβ , with α,β∈R + is a generalization of the concept of integer derivative, where α=1, β=0. By applying the concept of complex derivative, we obtain a high-dimensional parameter space. Amplitude and period values of the periodic solutions of the two versions of the complex-order van der Pol oscillator are studied for variation of these parameters. Fourier transforms of the periodic solutions of the two oscillators are also analyzed.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-01-01T00:00:00Z
2014-03-06T15:47:23Z
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/10400.22/4141
url http://hdl.handle.net/10400.22/4141
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0924-090X
10.1007/s11071-010-9886-0
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 Springer
publisher.none.fl_str_mv Springer
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
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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
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