Resonant islands without separatrix chaos

Detalhes bibliográficos
Autor(a) principal: Corso, Gilberto Luiz
Data de Publicação: 1995
Outros Autores: Rizzato, Felipe Barbedo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/101310
Resumo: An alternative type of Hamiltonian nonlinear resonant island is analyzed. In the usual case where the resonant island is pendulumlike, chains bifurcated out of the central elliptic point undergo infinite cascades of period-doubling bifurcations as they approach the island boundary. In the present case we find that those chains undergo either period doubling or inverse saddle-node bifurcations, depending on the strength of perturbing terms. In the saddle-node case we show that just after a reconnection process, external chains cross the island boundary to collapse against the bifurcated internal chains.
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spelling Corso, Gilberto LuizRizzato, Felipe Barbedo2014-08-19T02:10:11Z19951063-651Xhttp://hdl.handle.net/10183/101310000112838An alternative type of Hamiltonian nonlinear resonant island is analyzed. In the usual case where the resonant island is pendulumlike, chains bifurcated out of the central elliptic point undergo infinite cascades of period-doubling bifurcations as they approach the island boundary. In the present case we find that those chains undergo either period doubling or inverse saddle-node bifurcations, depending on the strength of perturbing terms. In the saddle-node case we show that just after a reconnection process, external chains cross the island boundary to collapse against the bifurcated internal chains.application/pdfengPhysical Review. E, Statistical physics, plasmas, fluids and related interdisciplinary topics. New York. Vol. 52, no. 4A (Oct. 1995), p. 3591-3595Fisica dos fluidos, fisica dos plasmas e descargas eletricasSistemas caóticosBolhasResonant islands without separatrix chaosEstrangeiroinfo: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:UFRGSORIGINAL000112838.pdf000112838.pdfTexto completo (inglês)application/pdf270132http://www.lume.ufrgs.br/bitstream/10183/101310/1/000112838.pdf300661b5ed63f5a720920debf1409c29MD51TEXT000112838.pdf.txt000112838.pdf.txtExtracted Texttext/plain21678http://www.lume.ufrgs.br/bitstream/10183/101310/2/000112838.pdf.txt7bb1c7d6e3b3a56ae779a2f9372afdeaMD52THUMBNAIL000112838.pdf.jpg000112838.pdf.jpgGenerated Thumbnailimage/jpeg2091http://www.lume.ufrgs.br/bitstream/10183/101310/3/000112838.pdf.jpg9c2c56afd5db9d3377fbbb6f10a6e6b5MD5310183/1013102023-09-02 03:33:02.32039oai:www.lume.ufrgs.br:10183/101310Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-09-02T06:33:02Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Resonant islands without separatrix chaos
title Resonant islands without separatrix chaos
spellingShingle Resonant islands without separatrix chaos
Corso, Gilberto Luiz
Fisica dos fluidos, fisica dos plasmas e descargas eletricas
Sistemas caóticos
Bolhas
title_short Resonant islands without separatrix chaos
title_full Resonant islands without separatrix chaos
title_fullStr Resonant islands without separatrix chaos
title_full_unstemmed Resonant islands without separatrix chaos
title_sort Resonant islands without separatrix chaos
author Corso, Gilberto Luiz
author_facet Corso, Gilberto Luiz
Rizzato, Felipe Barbedo
author_role author
author2 Rizzato, Felipe Barbedo
author2_role author
dc.contributor.author.fl_str_mv Corso, Gilberto Luiz
Rizzato, Felipe Barbedo
dc.subject.por.fl_str_mv Fisica dos fluidos, fisica dos plasmas e descargas eletricas
Sistemas caóticos
Bolhas
topic Fisica dos fluidos, fisica dos plasmas e descargas eletricas
Sistemas caóticos
Bolhas
description An alternative type of Hamiltonian nonlinear resonant island is analyzed. In the usual case where the resonant island is pendulumlike, chains bifurcated out of the central elliptic point undergo infinite cascades of period-doubling bifurcations as they approach the island boundary. In the present case we find that those chains undergo either period doubling or inverse saddle-node bifurcations, depending on the strength of perturbing terms. In the saddle-node case we show that just after a reconnection process, external chains cross the island boundary to collapse against the bifurcated internal chains.
publishDate 1995
dc.date.issued.fl_str_mv 1995
dc.date.accessioned.fl_str_mv 2014-08-19T02:10:11Z
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dc.identifier.issn.pt_BR.fl_str_mv 1063-651X
dc.identifier.nrb.pt_BR.fl_str_mv 000112838
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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. E, Statistical physics, plasmas, fluids and related interdisciplinary topics. New York. Vol. 52, no. 4A (Oct. 1995), p. 3591-3595
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