Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser

Detalhes bibliográficos
Autor(a) principal: Francke Sandoval, Ricardo Eugenio
Data de Publicação: 2013
Outros Autores: Poschel, Thorsten, Gallas, Jason Alfredo Carlson
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/101846
Resumo: We report numerical evidence showing that periodic oscillations can produce unexpected andwide-ranging zigzag parameter networks embedded in chaos in the control space of nonlinear systems. Such networks interconnect shrimplikewindows of stable oscillations and are illustrated here for a tunnel diode, for an erbium-doped fiber-ring laser, and for the H´enon map, a proxy of certain CO2 lasers. Networks in maps can be studied without the need for solving differential equations. Tuning parameters along zig-zag networks allows one to continuously modify wave patterns without changing their chaotic or periodic nature. In addition, we report convenient parameter ranges where such networks can be detected experimentally.
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spelling Francke Sandoval, Ricardo EugenioPoschel, ThorstenGallas, Jason Alfredo Carlson2014-08-26T09:26:23Z20131539-3755http://hdl.handle.net/10183/101846000897756We report numerical evidence showing that periodic oscillations can produce unexpected andwide-ranging zigzag parameter networks embedded in chaos in the control space of nonlinear systems. Such networks interconnect shrimplikewindows of stable oscillations and are illustrated here for a tunnel diode, for an erbium-doped fiber-ring laser, and for the H´enon map, a proxy of certain CO2 lasers. Networks in maps can be studied without the need for solving differential equations. Tuning parameters along zig-zag networks allows one to continuously modify wave patterns without changing their chaotic or periodic nature. In addition, we report convenient parameter ranges where such networks can be detected experimentally.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 87, no. 4 (Apr. 2013), 042907, 7 p.Laser de gasEquações diferenciaisCompostos de carbonoErbioCaos óticoJanelas ópticasDiodos túnelZig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laserEstrangeiroinfo: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:UFRGSORIGINAL000897756.pdf000897756.pdfTexto completo (inglês)application/pdf3132287http://www.lume.ufrgs.br/bitstream/10183/101846/1/000897756.pdfca5bf999b2141ebc94def3936becc5a4MD51TEXT000897756.pdf.txt000897756.pdf.txtExtracted Texttext/plain32554http://www.lume.ufrgs.br/bitstream/10183/101846/2/000897756.pdf.txt6c22f1e0040b4ffe2544cc2c78b943fbMD52THUMBNAIL000897756.pdf.jpg000897756.pdf.jpgGenerated Thumbnailimage/jpeg2145http://www.lume.ufrgs.br/bitstream/10183/101846/3/000897756.pdf.jpgc00535723afc852b36034b1a1afc77eeMD5310183/1018462024-03-28 06:26:15.81185oai:www.lume.ufrgs.br:10183/101846Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2024-03-28T09:26:15Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser
title Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser
spellingShingle Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser
Francke Sandoval, Ricardo Eugenio
Laser de gas
Equações diferenciais
Compostos de carbono
Erbio
Caos ótico
Janelas ópticas
Diodos túnel
title_short Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser
title_full Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser
title_fullStr Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser
title_full_unstemmed Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser
title_sort Zig-zag networks of self-excited periodic oscillations in a tunnel diode and a fiber-ring laser
author Francke Sandoval, Ricardo Eugenio
author_facet Francke Sandoval, Ricardo Eugenio
Poschel, Thorsten
Gallas, Jason Alfredo Carlson
author_role author
author2 Poschel, Thorsten
Gallas, Jason Alfredo Carlson
author2_role author
author
dc.contributor.author.fl_str_mv Francke Sandoval, Ricardo Eugenio
Poschel, Thorsten
Gallas, Jason Alfredo Carlson
dc.subject.por.fl_str_mv Laser de gas
Equações diferenciais
Compostos de carbono
Erbio
Caos ótico
Janelas ópticas
Diodos túnel
topic Laser de gas
Equações diferenciais
Compostos de carbono
Erbio
Caos ótico
Janelas ópticas
Diodos túnel
description We report numerical evidence showing that periodic oscillations can produce unexpected andwide-ranging zigzag parameter networks embedded in chaos in the control space of nonlinear systems. Such networks interconnect shrimplikewindows of stable oscillations and are illustrated here for a tunnel diode, for an erbium-doped fiber-ring laser, and for the H´enon map, a proxy of certain CO2 lasers. Networks in maps can be studied without the need for solving differential equations. Tuning parameters along zig-zag networks allows one to continuously modify wave patterns without changing their chaotic or periodic nature. In addition, we report convenient parameter ranges where such networks can be detected experimentally.
publishDate 2013
dc.date.issued.fl_str_mv 2013
dc.date.accessioned.fl_str_mv 2014-08-26T09:26:23Z
dc.type.driver.fl_str_mv Estrangeiro
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/101846
dc.identifier.issn.pt_BR.fl_str_mv 1539-3755
dc.identifier.nrb.pt_BR.fl_str_mv 000897756
identifier_str_mv 1539-3755
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url http://hdl.handle.net/10183/101846
dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 87, no. 4 (Apr. 2013), 042907, 7 p.
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