%0 Journal Article
%T Finding invariant tori in the problem of a periodically corrugated waveguide
%A Rabelo
%A Adriano F¨¢bio
%A Leonel
%A Edson D.
%J Brazilian Journal of Physics
%D 2008
%I Scientific Electronic Library Online
%R 10.1590/S0103-97332008000100010
%X 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.
%K chaos
%K invariant spanning curves
%K nonlinear mappings.
%U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S0103-97332008000100010&lng=en&nrm=iso&tlng=en