Bifurcation structures and transient chaos in a four-dimensional Chua model

Detalhes bibliográficos
Autor(a) principal: Hoff A.*
Data de Publicação: 2014
Outros Autores: Da Silva D.T.*, Manchein, Cesar, Albuquerque, Holokx Abreu
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000vb2v
Texto Completo: https://repositorio.udesc.br/handle/UDESC/8453
Resumo: A four-dimensional four-parameter Chua model with cubic nonlinearity is studied applying numerical continuation and numerical solutions methods. Regarding numerical solution methods, its dynamics is characterized on Lyapunov and isoperiodic diagrams and regarding numerical continuation method, the bifurcation curves are obtained. Combining both methods the bifurcation structures of the model were obtained with the possibility to describe the shrimp-shaped domains and their endoskeletons. We study the effect of a parameter that controls the dimension of the system leading the model to present transient chaos with its corresponding basin of attraction being riddled. © 2013 Elsevier B.V. All rights reserved.
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spelling Bifurcation structures and transient chaos in a four-dimensional Chua modelA four-dimensional four-parameter Chua model with cubic nonlinearity is studied applying numerical continuation and numerical solutions methods. Regarding numerical solution methods, its dynamics is characterized on Lyapunov and isoperiodic diagrams and regarding numerical continuation method, the bifurcation curves are obtained. Combining both methods the bifurcation structures of the model were obtained with the possibility to describe the shrimp-shaped domains and their endoskeletons. We study the effect of a parameter that controls the dimension of the system leading the model to present transient chaos with its corresponding basin of attraction being riddled. © 2013 Elsevier B.V. All rights reserved.2024-12-06T14:07:06Z2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlep. 171 - 1770375-960110.1016/j.physleta.2013.11.003https://repositorio.udesc.br/handle/UDESC/8453ark:/33523/001300000vb2vPhysics Letters, Section A: General, Atomic and Solid State Physics3783Hoff A.*Da Silva D.T.*Manchein, CesarAlbuquerque, Holokx Abreuengreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:57:31Zoai:repositorio.udesc.br:UDESC/8453Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:57:31Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Bifurcation structures and transient chaos in a four-dimensional Chua model
title Bifurcation structures and transient chaos in a four-dimensional Chua model
spellingShingle Bifurcation structures and transient chaos in a four-dimensional Chua model
Hoff A.*
title_short Bifurcation structures and transient chaos in a four-dimensional Chua model
title_full Bifurcation structures and transient chaos in a four-dimensional Chua model
title_fullStr Bifurcation structures and transient chaos in a four-dimensional Chua model
title_full_unstemmed Bifurcation structures and transient chaos in a four-dimensional Chua model
title_sort Bifurcation structures and transient chaos in a four-dimensional Chua model
author Hoff A.*
author_facet Hoff A.*
Da Silva D.T.*
Manchein, Cesar
Albuquerque, Holokx Abreu
author_role author
author2 Da Silva D.T.*
Manchein, Cesar
Albuquerque, Holokx Abreu
author2_role author
author
author
dc.contributor.author.fl_str_mv Hoff A.*
Da Silva D.T.*
Manchein, Cesar
Albuquerque, Holokx Abreu
description A four-dimensional four-parameter Chua model with cubic nonlinearity is studied applying numerical continuation and numerical solutions methods. Regarding numerical solution methods, its dynamics is characterized on Lyapunov and isoperiodic diagrams and regarding numerical continuation method, the bifurcation curves are obtained. Combining both methods the bifurcation structures of the model were obtained with the possibility to describe the shrimp-shaped domains and their endoskeletons. We study the effect of a parameter that controls the dimension of the system leading the model to present transient chaos with its corresponding basin of attraction being riddled. © 2013 Elsevier B.V. All rights reserved.
publishDate 2014
dc.date.none.fl_str_mv 2014
2024-12-06T14:07:06Z
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 0375-9601
10.1016/j.physleta.2013.11.003
https://repositorio.udesc.br/handle/UDESC/8453
dc.identifier.dark.fl_str_mv ark:/33523/001300000vb2v
identifier_str_mv 0375-9601
10.1016/j.physleta.2013.11.003
ark:/33523/001300000vb2v
url https://repositorio.udesc.br/handle/UDESC/8453
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physics Letters, Section A: General, Atomic and Solid State Physics
378
3
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 171 - 177
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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