Nonintegrable dynamics of the triplet-triplet spatiotemporal interaction

Detalhes bibliográficos
Autor(a) principal: Lopes, Sergio Roberto
Data de Publicação: 1999
Outros Autores: Rizzato, Felipe Barbedo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/103657
Resumo: In this paper we examine the coupling of two wave triplets sharing two common modes. The analysis is performed in the solitonic sector of the parameter space where uncoupled solutions departing from linearly unstable homogeneous initial conditions evolve into a collection of regularly interspersed, spatiotemporally localized spikes. The uncoupled system is integrable, but coupling destroys integrability. As coupling grows, energy transfer to smaller spatial scales does appear and becomes faster not only in linearly unstable, but also in linearly stable cases. Chaos in low-dimensional subsystems appears to be responsible for the transfer. We perform a series of numerical tests to verify this idea.
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spelling Lopes, Sergio RobertoRizzato, Felipe Barbedo2014-09-23T02:12:41Z19991063-651Xhttp://hdl.handle.net/10183/103657000267864In this paper we examine the coupling of two wave triplets sharing two common modes. The analysis is performed in the solitonic sector of the parameter space where uncoupled solutions departing from linearly unstable homogeneous initial conditions evolve into a collection of regularly interspersed, spatiotemporally localized spikes. The uncoupled system is integrable, but coupling destroys integrability. As coupling grows, energy transfer to smaller spatial scales does appear and becomes faster not only in linearly unstable, but also in linearly stable cases. Chaos in low-dimensional subsystems appears to be responsible for the transfer. We perform a series of numerical tests to verify this idea.application/pdfengPhysical Review. E, Statistical physics, plasmas, fluids and related interdisciplinary topics. New York. Vol. 60, no. 5, pt. A (Nov. 1999), p. 5375-5384Sistemas caóticosDinâmica não-linearPlasmasSolitonsNonintegrable dynamics of the triplet-triplet spatiotemporal interactionEstrangeiroinfo: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:UFRGSORIGINAL000267864.pdf000267864.pdfTexto completo (inglês)application/pdf514863http://www.lume.ufrgs.br/bitstream/10183/103657/1/000267864.pdf183d6d92c6dca148ce1e506c2503badbMD51TEXT000267864.pdf.txt000267864.pdf.txtExtracted Texttext/plain34613http://www.lume.ufrgs.br/bitstream/10183/103657/2/000267864.pdf.txt5dae19f024489a3b012827a87afa1628MD52THUMBNAIL000267864.pdf.jpg000267864.pdf.jpgGenerated Thumbnailimage/jpeg1971http://www.lume.ufrgs.br/bitstream/10183/103657/3/000267864.pdf.jpgf66b71554311b043cfe1be9c4190ad86MD5310183/1036572023-08-31 03:34:00.772622oai:www.lume.ufrgs.br:10183/103657Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-08-31T06:34Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Nonintegrable dynamics of the triplet-triplet spatiotemporal interaction
title Nonintegrable dynamics of the triplet-triplet spatiotemporal interaction
spellingShingle Nonintegrable dynamics of the triplet-triplet spatiotemporal interaction
Lopes, Sergio Roberto
Sistemas caóticos
Dinâmica não-linear
Plasmas
Solitons
title_short Nonintegrable dynamics of the triplet-triplet spatiotemporal interaction
title_full Nonintegrable dynamics of the triplet-triplet spatiotemporal interaction
title_fullStr Nonintegrable dynamics of the triplet-triplet spatiotemporal interaction
title_full_unstemmed Nonintegrable dynamics of the triplet-triplet spatiotemporal interaction
title_sort Nonintegrable dynamics of the triplet-triplet spatiotemporal interaction
author Lopes, Sergio Roberto
author_facet Lopes, Sergio Roberto
Rizzato, Felipe Barbedo
author_role author
author2 Rizzato, Felipe Barbedo
author2_role author
dc.contributor.author.fl_str_mv Lopes, Sergio Roberto
Rizzato, Felipe Barbedo
dc.subject.por.fl_str_mv Sistemas caóticos
Dinâmica não-linear
Plasmas
Solitons
topic Sistemas caóticos
Dinâmica não-linear
Plasmas
Solitons
description In this paper we examine the coupling of two wave triplets sharing two common modes. The analysis is performed in the solitonic sector of the parameter space where uncoupled solutions departing from linearly unstable homogeneous initial conditions evolve into a collection of regularly interspersed, spatiotemporally localized spikes. The uncoupled system is integrable, but coupling destroys integrability. As coupling grows, energy transfer to smaller spatial scales does appear and becomes faster not only in linearly unstable, but also in linearly stable cases. Chaos in low-dimensional subsystems appears to be responsible for the transfer. We perform a series of numerical tests to verify this idea.
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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. 60, no. 5, pt. A (Nov. 1999), p. 5375-5384
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