Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit

Detalhes bibliográficos
Autor(a) principal: Bonatto, Cristian
Data de Publicação: 2008
Outros Autores: Gallas, Jason Alfredo Carlson
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/99406
Resumo: We report the discovery of a remarkable ‘‘periodicity hub’’ inside the chaotic phase of an electronic circuit containing two diodes as a nonlinear resistance. The hub is a focal point from where an infinite hierarchy of nested spirals emanates. By suitably tuning two reactances simultaneously, both current and voltage may have their periodicity increased continuously without bound and without ever crossing the surrounding chaotic phase. Familiar period-adding current and voltage cascades are shown to be just restricted one-parameter slices of an exceptionally intricate and very regular onionlike parameter surface centered at the focal hub which organizes all the dynamics.
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spelling Bonatto, CristianGallas, Jason Alfredo Carlson2014-08-09T02:11:39Z20080031-9007http://hdl.handle.net/10183/99406000679717We report the discovery of a remarkable ‘‘periodicity hub’’ inside the chaotic phase of an electronic circuit containing two diodes as a nonlinear resistance. The hub is a focal point from where an infinite hierarchy of nested spirals emanates. By suitably tuning two reactances simultaneously, both current and voltage may have their periodicity increased continuously without bound and without ever crossing the surrounding chaotic phase. Familiar period-adding current and voltage cascades are shown to be just restricted one-parameter slices of an exceptionally intricate and very regular onionlike parameter surface centered at the focal hub which organizes all the dynamics.application/pdfengPhysical review letters. Melville. Vol. 101, no. 5 (Aug. 2008), 054101, 4 p.Dinâmica não-linearDiagramas de faseCaosMétodos LyapunovOrbitas homoclinicasLaserPeriodicity hub and nested spirals in the phase diagram of a simple resistive circuitEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT000679717.pdf.txt000679717.pdf.txtExtracted Texttext/plain17391http://www.lume.ufrgs.br/bitstream/10183/99406/2/000679717.pdf.txt7111f7022f2c3511dd2445ca5e7dcfd7MD52ORIGINAL000679717.pdf000679717.pdfTexto completo (inglês)application/pdf2719066http://www.lume.ufrgs.br/bitstream/10183/99406/1/000679717.pdf5e3225225cde813893370c9e33b959b2MD51THUMBNAIL000679717.pdf.jpg000679717.pdf.jpgGenerated Thumbnailimage/jpeg2134http://www.lume.ufrgs.br/bitstream/10183/99406/3/000679717.pdf.jpg24fef96e666996c8c0158bb2e8f85c03MD5310183/994062023-08-12 03:47:40.106084oai:www.lume.ufrgs.br:10183/99406Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-08-12T06:47:40Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit
title Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit
spellingShingle Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit
Bonatto, Cristian
Dinâmica não-linear
Diagramas de fase
Caos
Métodos Lyapunov
Orbitas homoclinicas
Laser
title_short Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit
title_full Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit
title_fullStr Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit
title_full_unstemmed Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit
title_sort Periodicity hub and nested spirals in the phase diagram of a simple resistive circuit
author Bonatto, Cristian
author_facet Bonatto, Cristian
Gallas, Jason Alfredo Carlson
author_role author
author2 Gallas, Jason Alfredo Carlson
author2_role author
dc.contributor.author.fl_str_mv Bonatto, Cristian
Gallas, Jason Alfredo Carlson
dc.subject.por.fl_str_mv Dinâmica não-linear
Diagramas de fase
Caos
Métodos Lyapunov
Orbitas homoclinicas
Laser
topic Dinâmica não-linear
Diagramas de fase
Caos
Métodos Lyapunov
Orbitas homoclinicas
Laser
description We report the discovery of a remarkable ‘‘periodicity hub’’ inside the chaotic phase of an electronic circuit containing two diodes as a nonlinear resistance. The hub is a focal point from where an infinite hierarchy of nested spirals emanates. By suitably tuning two reactances simultaneously, both current and voltage may have their periodicity increased continuously without bound and without ever crossing the surrounding chaotic phase. Familiar period-adding current and voltage cascades are shown to be just restricted one-parameter slices of an exceptionally intricate and very regular onionlike parameter surface centered at the focal hub which organizes all the dynamics.
publishDate 2008
dc.date.issued.fl_str_mv 2008
dc.date.accessioned.fl_str_mv 2014-08-09T02:11:39Z
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dc.identifier.issn.pt_BR.fl_str_mv 0031-9007
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review letters. Melville. Vol. 101, no. 5 (Aug. 2008), 054101, 4 p.
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