Partial chaos suppression in a fractional order macroeconomic model

Detalhes bibliográficos
Autor(a) principal: David, S.A.
Data de Publicação: 2015
Outros Autores: Machado, J. A. Tenreiro, Quintino, D.D., Balthazar, J.M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/9403
Resumo: This work investigates the possibility of suppressing chaos in a fractional-nonlinear macroeconomic dynamic model. The system generalizes a model recently reported in the literature in which chaos is strongly present. This description involves the inclusion of the public sector deficit and its coupling with other variables. The system is simulated for integer and non-integer orders that produce a complex dynamics. The time histories and the phase diagrams are presented. The main contribution of this work refers to the adoption of the largest Lyapunov exponent (LLE) criteria based on Wolf’s algorithm. This approach improves the response of the system, suppressing, at least partially, the strong presence of chaos reported in previous studies.
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spelling Partial chaos suppression in a fractional order macroeconomic modelMacroeconomic modelFractional calculusNumerical simulationsNonlinear systemsChaosThis work investigates the possibility of suppressing chaos in a fractional-nonlinear macroeconomic dynamic model. The system generalizes a model recently reported in the literature in which chaos is strongly present. This description involves the inclusion of the public sector deficit and its coupling with other variables. The system is simulated for integer and non-integer orders that produce a complex dynamics. The time histories and the phase diagrams are presented. The main contribution of this work refers to the adoption of the largest Lyapunov exponent (LLE) criteria based on Wolf’s algorithm. This approach improves the response of the system, suppressing, at least partially, the strong presence of chaos reported in previous studies.ElsevierRepositório Científico do Instituto Politécnico do PortoDavid, S.A.Machado, J. A. TenreiroQuintino, D.D.Balthazar, J.M.20152117-01-01T00:00:00Z2015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/9403enghttp://dx.doi.org/10.1016/j.matcom.2015.11.004metadata 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:RCAAP2023-03-13T12:50:47Zoai:recipp.ipp.pt:10400.22/9403Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:30:00.585685Repositório 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 Partial chaos suppression in a fractional order macroeconomic model
title Partial chaos suppression in a fractional order macroeconomic model
spellingShingle Partial chaos suppression in a fractional order macroeconomic model
David, S.A.
Macroeconomic model
Fractional calculus
Numerical simulations
Nonlinear systems
Chaos
title_short Partial chaos suppression in a fractional order macroeconomic model
title_full Partial chaos suppression in a fractional order macroeconomic model
title_fullStr Partial chaos suppression in a fractional order macroeconomic model
title_full_unstemmed Partial chaos suppression in a fractional order macroeconomic model
title_sort Partial chaos suppression in a fractional order macroeconomic model
author David, S.A.
author_facet David, S.A.
Machado, J. A. Tenreiro
Quintino, D.D.
Balthazar, J.M.
author_role author
author2 Machado, J. A. Tenreiro
Quintino, D.D.
Balthazar, J.M.
author2_role author
author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv David, S.A.
Machado, J. A. Tenreiro
Quintino, D.D.
Balthazar, J.M.
dc.subject.por.fl_str_mv Macroeconomic model
Fractional calculus
Numerical simulations
Nonlinear systems
Chaos
topic Macroeconomic model
Fractional calculus
Numerical simulations
Nonlinear systems
Chaos
description This work investigates the possibility of suppressing chaos in a fractional-nonlinear macroeconomic dynamic model. The system generalizes a model recently reported in the literature in which chaos is strongly present. This description involves the inclusion of the public sector deficit and its coupling with other variables. The system is simulated for integer and non-integer orders that produce a complex dynamics. The time histories and the phase diagrams are presented. The main contribution of this work refers to the adoption of the largest Lyapunov exponent (LLE) criteria based on Wolf’s algorithm. This approach improves the response of the system, suppressing, at least partially, the strong presence of chaos reported in previous studies.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01T00:00:00Z
2117-01-01T00:00:00Z
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/10400.22/9403
url http://hdl.handle.net/10400.22/9403
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://dx.doi.org/10.1016/j.matcom.2015.11.004
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
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dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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