Finding invariant tori in the problem of a periodically corrugated waveguide
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
30/09/2013
20/05/2014
30/09/2013
20/05/2014
01/03/2008
|
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. |
Formato |
54-57 |
Identificador |
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 |
Idioma(s) |
eng |
Publicador |
Sociedade Brasileira de Física |
Relação |
Brazilian Journal of Physics |
Direitos |
openAccess |
Palavras-Chave | #Chaos #Invariant Spanning Curves #Nonlinear Mappings |
Tipo |
info:eu-repo/semantics/article |