Nonintegrable dynamics of the triplet-triplet spatiotemporal interaction
Autor(a) principal: | |
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Data de Publicação: | 1999 |
Outros Autores: | |
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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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. |
publishDate |
1999 |
dc.date.issued.fl_str_mv |
1999 |
dc.date.accessioned.fl_str_mv |
2014-09-23T02:12:41Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/103657 |
dc.identifier.issn.pt_BR.fl_str_mv |
1063-651X |
dc.identifier.nrb.pt_BR.fl_str_mv |
000267864 |
identifier_str_mv |
1063-651X 000267864 |
url |
http://hdl.handle.net/10183/103657 |
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. New York. Vol. 60, no. 5, pt. A (Nov. 1999), p. 5375-5384 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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