Finding invariant tori in the problem of a periodically corrugated waveguide

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorRabelo, Adriano Fábio
dc.creatorLeonel, Edson Denis
dc.date2013-09-30T20:01:27Z
dc.date2014-05-20T14:16:09Z
dc.date2016-10-25T17:39:18Z
dc.date2013-09-30T20:01:27Z
dc.date2014-05-20T14:16:09Z
dc.date2016-10-25T17:39:18Z
dc.date2008-03-01
dc.date.accessioned2017-04-05T22:20:45Z
dc.date.available2017-04-05T22:20:45Z
dc.identifierBrazilian Journal of Physics. Sociedade Brasileira de Física, v. 38, n. 1, p. 54-57, 2008.
dc.identifier0103-9733
dc.identifierhttp://hdl.handle.net/11449/24858
dc.identifierhttp://acervodigital.unesp.br/handle/11449/24858
dc.identifier10.1590/S0103-97332008000100010
dc.identifierS0103-97332008000100010
dc.identifierWOS:000254521800010
dc.identifierS0103-97332008000100010.pdf
dc.identifierhttp://dx.doi.org/10.1590/S0103-97332008000100010
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/869818
dc.descriptionSome 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.
dc.languageeng
dc.publisherSociedade Brasileira de Física
dc.relationBrazilian Journal of Physics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectChaos
dc.subjectInvariant Spanning Curves
dc.subjectNonlinear Mappings
dc.titleFinding invariant tori in the problem of a periodically corrugated waveguide
dc.typeOtro


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