  The paper deals with dynamical system analysis of a coupled scalar field in
the Randall-Sundrum(RS)2 brane world. The late time attractor describes the
final state of the cosmic evolution. In RS2 based phantom model there is no
late-time attractor and consequently there is uncertainty in cosmic evolution.
In this paper, we have shown that it is possible to get late-time attractor
when gravity is coupled to scalar field. Finally, in order to predict the final
evolution of the universe, we have also studied classical stability of the
model. It is found that there are late time attractors which are both locally
as well as classically stable and so our model can realise the late time cosmic
acceleration.
