Characterization of homoclinic chaos through double-valued return time maps

Detalhes bibliográficos
Autor(a) principal: Zeni, Andrea Regina
Data de Publicação: 1998
Outros Autores: Braun, Thomas, Correia, Ricardo Rego Bordalo, Alcantara Junior, Petrus Agrippino de, Guidoni, L., Arimondo, Enio
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/103651
Resumo: For a laser with a saturable absorber (LSA) and for a subnormal glow discharge (GD), both displaying homoclinic chaos, it is shown that double-valued curves in the return time maps, reconstructed from the time evolution of appropriate variables, are related to different time scales associated with the two mechanisms present in the respective chaotic attractors: the escape from an unstable saddle cycle and the reinjection process. For the LSA the investigation is performed numerically on a 3-2 molecular level model and the results are compared with experimental ones obtained from a CO₂-OsO₄ LSA system having the laser frequency detuning as the control parameter. The analysis is complemented with experimental results from the GD. For both systems we show how to obtain single-valued multibranched return time maps starting from doublevalued return time maps, enabling the characterization of homoclinic chaos.
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spelling Zeni, Andrea ReginaBraun, ThomasCorreia, Ricardo Rego BordaloAlcantara Junior, Petrus Agrippino deGuidoni, L.Arimondo, Enio2014-09-23T02:12:38Z19981063-651Xhttp://hdl.handle.net/10183/103651000282276For a laser with a saturable absorber (LSA) and for a subnormal glow discharge (GD), both displaying homoclinic chaos, it is shown that double-valued curves in the return time maps, reconstructed from the time evolution of appropriate variables, are related to different time scales associated with the two mechanisms present in the respective chaotic attractors: the escape from an unstable saddle cycle and the reinjection process. For the LSA the investigation is performed numerically on a 3-2 molecular level model and the results are compared with experimental ones obtained from a CO₂-OsO₄ LSA system having the laser frequency detuning as the control parameter. The analysis is complemented with experimental results from the GD. For both systems we show how to obtain single-valued multibranched return time maps starting from doublevalued return time maps, enabling the characterization of homoclinic chaos.application/pdfengPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. Woodbury. Vol. 57, no. 1 (Jan. 1998), 288-298CaosLaserCaos óticoAbsorção óptica saturávelCharacterization of homoclinic chaos through double-valued return time mapsEstrangeiroinfo: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:UFRGSORIGINAL000282276.pdf000282276.pdfTexto completo (inglês)application/pdf167130http://www.lume.ufrgs.br/bitstream/10183/103651/1/000282276.pdf4a8db9b99cde65a363113da969453be4MD51TEXT000282276.pdf.txt000282276.pdf.txtExtracted Texttext/plain47625http://www.lume.ufrgs.br/bitstream/10183/103651/2/000282276.pdf.txta0fe1e2e2b4fb45ea95917e17207b5efMD52THUMBNAIL000282276.pdf.jpg000282276.pdf.jpgGenerated Thumbnailimage/jpeg2096http://www.lume.ufrgs.br/bitstream/10183/103651/3/000282276.pdf.jpg54d88f9771f66126b2a2996c0891b3d2MD5310183/1036512024-09-12 06:00:45.753554oai:www.lume.ufrgs.br:10183/103651Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2024-09-12T09:00:45Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Characterization of homoclinic chaos through double-valued return time maps
title Characterization of homoclinic chaos through double-valued return time maps
spellingShingle Characterization of homoclinic chaos through double-valued return time maps
Zeni, Andrea Regina
Caos
Laser
Caos ótico
Absorção óptica saturável
title_short Characterization of homoclinic chaos through double-valued return time maps
title_full Characterization of homoclinic chaos through double-valued return time maps
title_fullStr Characterization of homoclinic chaos through double-valued return time maps
title_full_unstemmed Characterization of homoclinic chaos through double-valued return time maps
title_sort Characterization of homoclinic chaos through double-valued return time maps
author Zeni, Andrea Regina
author_facet Zeni, Andrea Regina
Braun, Thomas
Correia, Ricardo Rego Bordalo
Alcantara Junior, Petrus Agrippino de
Guidoni, L.
Arimondo, Enio
author_role author
author2 Braun, Thomas
Correia, Ricardo Rego Bordalo
Alcantara Junior, Petrus Agrippino de
Guidoni, L.
Arimondo, Enio
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Zeni, Andrea Regina
Braun, Thomas
Correia, Ricardo Rego Bordalo
Alcantara Junior, Petrus Agrippino de
Guidoni, L.
Arimondo, Enio
dc.subject.por.fl_str_mv Caos
Laser
Caos ótico
Absorção óptica saturável
topic Caos
Laser
Caos ótico
Absorção óptica saturável
description For a laser with a saturable absorber (LSA) and for a subnormal glow discharge (GD), both displaying homoclinic chaos, it is shown that double-valued curves in the return time maps, reconstructed from the time evolution of appropriate variables, are related to different time scales associated with the two mechanisms present in the respective chaotic attractors: the escape from an unstable saddle cycle and the reinjection process. For the LSA the investigation is performed numerically on a 3-2 molecular level model and the results are compared with experimental ones obtained from a CO₂-OsO₄ LSA system having the laser frequency detuning as the control parameter. The analysis is complemented with experimental results from the GD. For both systems we show how to obtain single-valued multibranched return time maps starting from doublevalued return time maps, enabling the characterization of homoclinic chaos.
publishDate 1998
dc.date.issued.fl_str_mv 1998
dc.date.accessioned.fl_str_mv 2014-09-23T02:12:38Z
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dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/103651
dc.identifier.issn.pt_BR.fl_str_mv 1063-651X
dc.identifier.nrb.pt_BR.fl_str_mv 000282276
identifier_str_mv 1063-651X
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dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.pt_BR.fl_str_mv Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. Woodbury. Vol. 57, no. 1 (Jan. 1998), 288-298
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