Galerkin-method approach to nonlinear soliton classical stability

Detalhes bibliográficos
Autor(a) principal: Linhares,C. A.
Data de Publicação: 2007
Outros Autores: Oliveira,H. P. de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300007
Resumo: We examine the evolution of perturbations on the kink configuration in <FONT FACE=Symbol>l f</FONT>4 theory and of the Nielsen-Olesen vortex in scalar electrodynamics through the Galerkin method. The problem is reduced to a finite dynamical system for which the linear and nonlinear regimes are studied. The linear stability of both is associated to a motion in a stable torus present in phase space, whereas the nonlinear evolution of perturbations can be viewed as a consequence of the breakdown of the tori structure and the onset of chaos. We discuss this regime in connection with the stability of the configurations. Also, the Galerkin method is used to obtain approximate analytical expressions for the vortex profile.
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spelling Galerkin-method approach to nonlinear soliton classical stabilityStability of solitonsNielsen-Olesen vortexGalerkin modelWe examine the evolution of perturbations on the kink configuration in <FONT FACE=Symbol>l f</FONT>4 theory and of the Nielsen-Olesen vortex in scalar electrodynamics through the Galerkin method. The problem is reduced to a finite dynamical system for which the linear and nonlinear regimes are studied. The linear stability of both is associated to a motion in a stable torus present in phase space, whereas the nonlinear evolution of perturbations can be viewed as a consequence of the breakdown of the tori structure and the onset of chaos. We discuss this regime in connection with the stability of the configurations. Also, the Galerkin method is used to obtain approximate analytical expressions for the vortex profile.Sociedade Brasileira de Física2007-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300007Brazilian Journal of Physics v.37 n.2a 2007reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332007000300007info:eu-repo/semantics/openAccessLinhares,C. A.Oliveira,H. P. deeng2007-07-17T00:00:00Zoai:scielo:S0103-97332007000300007Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2007-07-17T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Galerkin-method approach to nonlinear soliton classical stability
title Galerkin-method approach to nonlinear soliton classical stability
spellingShingle Galerkin-method approach to nonlinear soliton classical stability
Linhares,C. A.
Stability of solitons
Nielsen-Olesen vortex
Galerkin model
title_short Galerkin-method approach to nonlinear soliton classical stability
title_full Galerkin-method approach to nonlinear soliton classical stability
title_fullStr Galerkin-method approach to nonlinear soliton classical stability
title_full_unstemmed Galerkin-method approach to nonlinear soliton classical stability
title_sort Galerkin-method approach to nonlinear soliton classical stability
author Linhares,C. A.
author_facet Linhares,C. A.
Oliveira,H. P. de
author_role author
author2 Oliveira,H. P. de
author2_role author
dc.contributor.author.fl_str_mv Linhares,C. A.
Oliveira,H. P. de
dc.subject.por.fl_str_mv Stability of solitons
Nielsen-Olesen vortex
Galerkin model
topic Stability of solitons
Nielsen-Olesen vortex
Galerkin model
description We examine the evolution of perturbations on the kink configuration in <FONT FACE=Symbol>l f</FONT>4 theory and of the Nielsen-Olesen vortex in scalar electrodynamics through the Galerkin method. The problem is reduced to a finite dynamical system for which the linear and nonlinear regimes are studied. The linear stability of both is associated to a motion in a stable torus present in phase space, whereas the nonlinear evolution of perturbations can be viewed as a consequence of the breakdown of the tori structure and the onset of chaos. We discuss this regime in connection with the stability of the configurations. Also, the Galerkin method is used to obtain approximate analytical expressions for the vortex profile.
publishDate 2007
dc.date.none.fl_str_mv 2007-06-01
dc.type.driver.fl_str_mv 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://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300007
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332007000300007
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332007000300007
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.37 n.2a 2007
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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