Abstract
In this paper, dilaton in Weyl-Scaled induced gravitational theory is regarded as a candidate of dark energy. When the potential of dilaton field is taken as the form of a double exponential \(\lambda_1e^{-\beta_{1}\sigma}+\lambda_{2}e^{-\beta_{2}\sigma}\), we find that there exist attractor solutions in dilatonic dark energy model, and these attractors correspond to an equations of state \(\omega = -1\) and a cosmic density parameter \(\Omega_{\sigma} = 1\), which are important features for a dark energy model that can meet the current observations. We find out the sufficient condition of the existence of a late time de Sitter attractor.
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