Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit

Bibliographic Details
Main Author: Rech P.C.*
Publication Date: 2012
Other Authors: Albuquerque, Holokx Abreu
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/00130000007vk
Download full: https://repositorio.udesc.br/handle/UDESC/9397
Summary: In this letter we investigate, via numerical simulations, the parameter-space of the set of autonomous first-order differential equations of a Chua circuit. We show that this parameter-space presents self-organized periodic structures immersed in a chaotic region, forming a single spiral structure that coils up around a focal point. Additionally, bifurcation diagrams are used to show that those periodic structures also organize themselves in period-adding cascades, along specific directions that point towards this same focal point. Copyright © 2010 John Wiley & Sons, Ltd.
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spelling Spiral periodic structure inside chaotic region in parameter-space of a Chua circuitIn this letter we investigate, via numerical simulations, the parameter-space of the set of autonomous first-order differential equations of a Chua circuit. We show that this parameter-space presents self-organized periodic structures immersed in a chaotic region, forming a single spiral structure that coils up around a focal point. Additionally, bifurcation diagrams are used to show that those periodic structures also organize themselves in period-adding cascades, along specific directions that point towards this same focal point. Copyright © 2010 John Wiley & Sons, Ltd.2024-12-06T19:10:34Z2012info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlep. 189 - 1941097-007X10.1002/cta.713https://repositorio.udesc.br/handle/UDESC/9397ark:/33523/00130000007vkInternational Journal of Circuit Theory and Applications402Rech P.C.*Albuquerque, Holokx Abreuengreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T21:02:27Zoai:repositorio.udesc.br:UDESC/9397Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T21:02:27Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit
title Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit
spellingShingle Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit
Rech P.C.*
title_short Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit
title_full Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit
title_fullStr Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit
title_full_unstemmed Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit
title_sort Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit
author Rech P.C.*
author_facet Rech P.C.*
Albuquerque, Holokx Abreu
author_role author
author2 Albuquerque, Holokx Abreu
author2_role author
dc.contributor.author.fl_str_mv Rech P.C.*
Albuquerque, Holokx Abreu
description In this letter we investigate, via numerical simulations, the parameter-space of the set of autonomous first-order differential equations of a Chua circuit. We show that this parameter-space presents self-organized periodic structures immersed in a chaotic region, forming a single spiral structure that coils up around a focal point. Additionally, bifurcation diagrams are used to show that those periodic structures also organize themselves in period-adding cascades, along specific directions that point towards this same focal point. Copyright © 2010 John Wiley & Sons, Ltd.
publishDate 2012
dc.date.none.fl_str_mv 2012
2024-12-06T19:10:34Z
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 1097-007X
10.1002/cta.713
https://repositorio.udesc.br/handle/UDESC/9397
dc.identifier.dark.fl_str_mv ark:/33523/00130000007vk
identifier_str_mv 1097-007X
10.1002/cta.713
ark:/33523/00130000007vk
url https://repositorio.udesc.br/handle/UDESC/9397
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Circuit Theory and Applications
40
2
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 189 - 194
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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