  In this paper, we regard dilaton in Weyl-scaled induced gravitational theory
as a coupled quintessence. Based on this consideration, we investigate the
dilaton coupled quintessence(DCQ) model in $\omega-\omega'$ plane, which is
defined by the equation of state parameter for the dark energy and its
derivative with respect to $N$(the logarithm of the scale factor $a$). We find
the scalar field equation of motion in $\omega-\omega'$ plane, and show
mathematically the property of attractor solutions which correspond to
$\omega_\sigma\sim-1$, $\Omega_\sigma=1$. Finally, we find that our model is a
tracking one which belongs to "freezing" type model classified in
$\omega-\omega'$ plane.
