  We study the phase space for an scalar-tensor string inspired model of dark
energy with non minimal kinetic and Gauss Bonnet couplings. The form of the
scalar potential and of the coupling terms is of the exponential type, which
give rise to appealing cosmological solutions. The critical points describe a
variety of cosmological scenarios that go from matter or radiation dominated
universe to dark energy dominated universe. There were found trajectories in
the phase space departing from unstable or saddle fixed points and arriving to
the stable scalar field dominated point corresponding to late-time accelerated
expansion.
