Finding invariant tori in the problem of a periodically corrugated waveguide

Detalhes bibliográficos
Autor(a) principal: Rabelo, Adriano Fábio [UNESP]
Data de Publicação: 2008
Outros Autores: Leonel, Edson Denis [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/S0103-97332008000100010
http://hdl.handle.net/11449/24858
Resumo: Some dynamic properties for a light ray suffering specular reflections inside a periodically corrugated waveguide are studied. The dynamics of the model is described in terms of a two dimensional nonlinear area preserving map. We show that the phase space is mixed in the sense that there are KAM islands surrounded by a large chaotic sea that is confined by two invariant spanning curves. We have used a connection with the Standard Mapping near a transition from local to global chaos and found the position of these two invariant spanning curves limiting the size of the chaotic sea as function of the control parameter.
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spelling Finding invariant tori in the problem of a periodically corrugated waveguideChaosInvariant Spanning CurvesNonlinear MappingsSome dynamic properties for a light ray suffering specular reflections inside a periodically corrugated waveguide are studied. The dynamics of the model is described in terms of a two dimensional nonlinear area preserving map. We show that the phase space is mixed in the sense that there are KAM islands surrounded by a large chaotic sea that is confined by two invariant spanning curves. We have used a connection with the Standard Mapping near a transition from local to global chaos and found the position of these two invariant spanning curves limiting the size of the chaotic sea as function of the control parameter.Universidade Estadual Paulista Departamento de Estatística, Matemática Aplicada e ComputaçãoUniversidade Estadual Paulista Departamento de Estatística, Matemática Aplicada e ComputaçãoSociedade Brasileira de FísicaUniversidade Estadual Paulista (Unesp)Rabelo, Adriano Fábio [UNESP]Leonel, Edson Denis [UNESP]2013-09-30T20:01:27Z2014-05-20T14:16:09Z2013-09-30T20:01:27Z2014-05-20T14:16:09Z2008-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article54-57application/pdfhttp://dx.doi.org/10.1590/S0103-97332008000100010Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 38, n. 1, p. 54-57, 2008.0103-9733http://hdl.handle.net/11449/2485810.1590/S0103-97332008000100010S0103-97332008000100010WOS:000254521800010S0103-97332008000100010.pdf61306442327186100000-0001-8224-3329SciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal of Physics1.0820,276info:eu-repo/semantics/openAccess2023-11-24T06:13:03Zoai:repositorio.unesp.br:11449/24858Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:34:44.729377Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Finding invariant tori in the problem of a periodically corrugated waveguide
title Finding invariant tori in the problem of a periodically corrugated waveguide
spellingShingle Finding invariant tori in the problem of a periodically corrugated waveguide
Rabelo, Adriano Fábio [UNESP]
Chaos
Invariant Spanning Curves
Nonlinear Mappings
title_short Finding invariant tori in the problem of a periodically corrugated waveguide
title_full Finding invariant tori in the problem of a periodically corrugated waveguide
title_fullStr Finding invariant tori in the problem of a periodically corrugated waveguide
title_full_unstemmed Finding invariant tori in the problem of a periodically corrugated waveguide
title_sort Finding invariant tori in the problem of a periodically corrugated waveguide
author Rabelo, Adriano Fábio [UNESP]
author_facet Rabelo, Adriano Fábio [UNESP]
Leonel, Edson Denis [UNESP]
author_role author
author2 Leonel, Edson Denis [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Rabelo, Adriano Fábio [UNESP]
Leonel, Edson Denis [UNESP]
dc.subject.por.fl_str_mv Chaos
Invariant Spanning Curves
Nonlinear Mappings
topic Chaos
Invariant Spanning Curves
Nonlinear Mappings
description Some dynamic properties for a light ray suffering specular reflections inside a periodically corrugated waveguide are studied. The dynamics of the model is described in terms of a two dimensional nonlinear area preserving map. We show that the phase space is mixed in the sense that there are KAM islands surrounded by a large chaotic sea that is confined by two invariant spanning curves. We have used a connection with the Standard Mapping near a transition from local to global chaos and found the position of these two invariant spanning curves limiting the size of the chaotic sea as function of the control parameter.
publishDate 2008
dc.date.none.fl_str_mv 2008-03-01
2013-09-30T20:01:27Z
2013-09-30T20:01:27Z
2014-05-20T14:16:09Z
2014-05-20T14:16:09Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1590/S0103-97332008000100010
Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 38, n. 1, p. 54-57, 2008.
0103-9733
http://hdl.handle.net/11449/24858
10.1590/S0103-97332008000100010
S0103-97332008000100010
WOS:000254521800010
S0103-97332008000100010.pdf
6130644232718610
0000-0001-8224-3329
url http://dx.doi.org/10.1590/S0103-97332008000100010
http://hdl.handle.net/11449/24858
identifier_str_mv Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 38, n. 1, p. 54-57, 2008.
0103-9733
10.1590/S0103-97332008000100010
S0103-97332008000100010
WOS:000254521800010
S0103-97332008000100010.pdf
6130644232718610
0000-0001-8224-3329
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Brazilian Journal of Physics
1.082
0,276
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 54-57
application/pdf
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 SciELO
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128951395024896

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