Finding invariant tori in the problem of a periodically corrugated waveguide

AUTOR(ES)

Rabelo, Adriano Fábio, Leonel, Edson D.

FONTE

Brazilian Journal of Physics

DATA DE PUBLICAÇÃO

2008-03

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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