Partial chaos suppression in a fractional order macroeconomic model
Autor(a) principal: | |
---|---|
Data de Publicação: | 2016 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.matcom.2015.11.004 http://hdl.handle.net/11449/165051 |
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. (C) 2015 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved. |
id |
UNSP_5a0a108be7315a740a6da2ec7dd591a3 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/165051 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
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. (C) 2015 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Sao Paulo Pirassununga, Ave Duque de Caxicts Norte 225, BR-13635900 Pirassununga, SP, BrazilPolytech Porto, Inst Engn, Rua Dr Antonio B de Almeida 431, P-4249015 Oporto, PortugalFederat Ind State Sao Paulo, Ave Paulista 1313, BR-01311923 Sao Paulo, SP, BrazilState Univ Sao Paulo Rio Claro, Ave 24 A,1515, BR-13506900 Rio Claro, SP, BrazilState Univ Sao Paulo Rio Claro, Ave 24 A,1515, BR-13506900 Rio Claro, SP, BrazilFAPESP: 2010/15824-0FAPESP: 2014/02041-9Elsevier B.V.Universidade de São Paulo (USP)Polytech PortoFederat Ind State Sao PauloUniversidade Estadual Paulista (Unesp)David, S. A.Machado, J. A. T.Quintino, D. D.Balthazar, J. M. [UNESP]2018-11-27T08:16:27Z2018-11-27T08:16:27Z2016-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article55-68application/pdfhttp://dx.doi.org/10.1016/j.matcom.2015.11.004Mathematics And Computers In Simulation. Amsterdam: Elsevier Science Bv, v. 122, p. 55-68, 2016.0378-4754http://hdl.handle.net/11449/16505110.1016/j.matcom.2015.11.004WOS:000368966000004WOS000368966000004.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMathematics And Computers In Simulation0,613info:eu-repo/semantics/openAccess2023-10-06T06:08:10Zoai:repositorio.unesp.br:11449/165051Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-10-06T06:08:10Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
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. T. Quintino, D. D. Balthazar, J. M. [UNESP] |
author_role |
author |
author2 |
Machado, J. A. T. Quintino, D. D. Balthazar, J. M. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade de São Paulo (USP) Polytech Porto Federat Ind State Sao Paulo Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
David, S. A. Machado, J. A. T. Quintino, D. D. Balthazar, J. M. [UNESP] |
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. (C) 2015 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-04-01 2018-11-27T08:16:27Z 2018-11-27T08:16:27Z |
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://dx.doi.org/10.1016/j.matcom.2015.11.004 Mathematics And Computers In Simulation. Amsterdam: Elsevier Science Bv, v. 122, p. 55-68, 2016. 0378-4754 http://hdl.handle.net/11449/165051 10.1016/j.matcom.2015.11.004 WOS:000368966000004 WOS000368966000004.pdf |
url |
http://dx.doi.org/10.1016/j.matcom.2015.11.004 http://hdl.handle.net/11449/165051 |
identifier_str_mv |
Mathematics And Computers In Simulation. Amsterdam: Elsevier Science Bv, v. 122, p. 55-68, 2016. 0378-4754 10.1016/j.matcom.2015.11.004 WOS:000368966000004 WOS000368966000004.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Mathematics And Computers In Simulation 0,613 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
55-68 application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier B.V. |
publisher.none.fl_str_mv |
Elsevier B.V. |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1799964459809112064 |