  In light of recent study on the dark energy models that manifest an equation
of state $w<-1$, we investigate the cosmological evolution of phantom field in
a specific potential, exponential potential in this paper. The phase plane
analysis show that the there is a late time attractor solution in this model,
which address the similar issues as that of fine tuning problems in
conventional quintessence models. The equation of state $w$ is determined by
the attractor solution which is dependent on the $\lambda$ parameter in the
potential. We also show that this model is stable for our present observable
universe.

General Relativity and Quantum Cosmology;Astrophysics;High Energy Physics - Theory