Spiral periodic structure inside chaotic region in parameter-space of a Chua circuit
| Main Author: | |
|---|---|
| Publication Date: | 2012 |
| Other Authors: | |
| 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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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 |
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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 |
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Universidade do Estado de Santa Catarina (UDESC) |
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UDESC |
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UDESC |
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Repositório Institucional da Udesc |
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Repositório Institucional da Udesc |
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Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC) |
| repository.mail.fl_str_mv |
ri@udesc.br |
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1848168305684119552 |