Hyperchaos and Multistability in a Four-Dimensional Financial Mathematical Model

Detalhes bibliográficos
Autor(a) principal: Rech P.C.*
Data de Publicação: 2021
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000tvd9
Texto Completo: https://repositorio.udesc.br/handle/UDESC/4233
Resumo: ©2021 L&H Scientific Publishing, LLC. All rights reserved.In this paper we report on hyperchaos and multistability in a fourdimensional nonlinear dynamical system, namely a financial system modeled by a set of four first order ordinary differential equations, whose dynamical behavior is defined by five control parameters. An arbitrarily chosen cross-section of its five-dimensional parameterspace is used to prove numerically the occurrence of both phenomena, multistability and hyperchaos, in the system. Basins of attraction of periodic and chaotic attractors are presented, as well as some typical phase-space portraits.
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spelling Hyperchaos and Multistability in a Four-Dimensional Financial Mathematical Model©2021 L&H Scientific Publishing, LLC. All rights reserved.In this paper we report on hyperchaos and multistability in a fourdimensional nonlinear dynamical system, namely a financial system modeled by a set of four first order ordinary differential equations, whose dynamical behavior is defined by five control parameters. An arbitrarily chosen cross-section of its five-dimensional parameterspace is used to prove numerically the occurrence of both phenomena, multistability and hyperchaos, in the system. Basins of attraction of periodic and chaotic attractors are presented, as well as some typical phase-space portraits.2024-12-06T11:45:47Z2021info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlep. 211 - 2182164-647310.5890/JAND.2021.06.002https://repositorio.udesc.br/handle/UDESC/4233ark:/33523/001300000tvd9Journal of Applied Nonlinear Dynamics102Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:44:01Zoai:repositorio.udesc.br:UDESC/4233Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:44:01Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Hyperchaos and Multistability in a Four-Dimensional Financial Mathematical Model
title Hyperchaos and Multistability in a Four-Dimensional Financial Mathematical Model
spellingShingle Hyperchaos and Multistability in a Four-Dimensional Financial Mathematical Model
Rech P.C.*
title_short Hyperchaos and Multistability in a Four-Dimensional Financial Mathematical Model
title_full Hyperchaos and Multistability in a Four-Dimensional Financial Mathematical Model
title_fullStr Hyperchaos and Multistability in a Four-Dimensional Financial Mathematical Model
title_full_unstemmed Hyperchaos and Multistability in a Four-Dimensional Financial Mathematical Model
title_sort Hyperchaos and Multistability in a Four-Dimensional Financial Mathematical Model
author Rech P.C.*
author_facet Rech P.C.*
author_role author
dc.contributor.author.fl_str_mv Rech P.C.*
description ©2021 L&H Scientific Publishing, LLC. All rights reserved.In this paper we report on hyperchaos and multistability in a fourdimensional nonlinear dynamical system, namely a financial system modeled by a set of four first order ordinary differential equations, whose dynamical behavior is defined by five control parameters. An arbitrarily chosen cross-section of its five-dimensional parameterspace is used to prove numerically the occurrence of both phenomena, multistability and hyperchaos, in the system. Basins of attraction of periodic and chaotic attractors are presented, as well as some typical phase-space portraits.
publishDate 2021
dc.date.none.fl_str_mv 2021
2024-12-06T11:45:47Z
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 2164-6473
10.5890/JAND.2021.06.002
https://repositorio.udesc.br/handle/UDESC/4233
dc.identifier.dark.fl_str_mv ark:/33523/001300000tvd9
identifier_str_mv 2164-6473
10.5890/JAND.2021.06.002
ark:/33523/001300000tvd9
url https://repositorio.udesc.br/handle/UDESC/4233
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Applied Nonlinear Dynamics
10
2
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 211 - 218
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
instacron:UDESC
instname_str Universidade do Estado de Santa Catarina (UDESC)
instacron_str UDESC
institution UDESC
reponame_str Repositório Institucional da Udesc
collection Repositório Institucional da Udesc
repository.name.fl_str_mv Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)
repository.mail.fl_str_mv ri@udesc.br
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