Dilaton coupled quintessence model in the ω-ω′ plane

In this paper, we regard the dilaton in Weyl-scaled induced gravitational theory as a coupled quintessence. Based on this consideration, we investigate the dilaton coupled quintessence (DCQ) model in the 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 the omega-omega ' plane, and show mathematically the properties of attractor solutions which correspond to omega(sigma) similar to -1, Omega(sigma) = 1. Finally, we find that our model is a tracking one which belongs to freezing type models classified in the omega-omega ' plane.