%0 Journal Article
%T A simplified Fermi Accelerator Model under quadratic frictional force
%A Tavares
%A Danila F.
%A Leonel
%A Edson D.
%J Brazilian Journal of Physics
%D 2008
%I Scientific Electronic Library Online
%R 10.1590/S0103-97332008000100011
%X some dynamical properties for a simplified version of a one-dimensional fermi accelerator model under the action of a small dissipation is studied. the dissipation is introduced via a damping force which is assumed to be proportional to the square particle's velocity. the dynamics of the model is described by using a two-dimensional, nonlinear area contracting mapping for the variables velocity of the particle and time. our results confirm that the structure of the phase space of the conservative version is replaced by a large number of attracting periodic orbits. for a fixed set of control parameters, we obtain many periodic attractors and show that most of them posses low period. the stable orbits produce a complex structure of basin of attraction whose limit cover almost all phase space, thus suggesting a fractality.
%K fermi accelerator model
%K damping forces
%K fractal basin boundary.
%U http://www.scielo.br/scielo.php?script=sci_abstract&pid=S0103-97332008000100011&lng=en&nrm=iso&tlng=en