Finding invariant tori in the problem of a periodically corrugated waveguide

Bibliographic Details
Main Author: Rabelo,Adriano Fábio
Publication Date: 2008
Other Authors: Leonel,Edson D.
Format: Article
Language: eng
Source: Brazilian Journal of Physics
Download full: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100010
Summary: 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.Sociedade Brasileira de Física2008-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100010Brazilian Journal of Physics v.38 n.1 2008reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332008000100010info:eu-repo/semantics/openAccessRabelo,Adriano FábioLeonel,Edson D.eng2008-03-27T00:00:00Zoai:scielo:S0103-97332008000100010Revistahttp://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:2008-03-27T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)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
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
author_facet Rabelo,Adriano Fábio
Leonel,Edson D.
author_role author
author2 Leonel,Edson D.
author2_role author
dc.contributor.author.fl_str_mv Rabelo,Adriano Fábio
Leonel,Edson D.
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
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=S0103-97332008000100010
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100010
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332008000100010
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.38 n.1 2008
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
_version_ 1754734864424239104

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