  Phantom energy can be visualized as a scalar field with a (non-canonical)
negative kinetic energy term. We use the dynamical system formalism to study
the attractor behavior of a cosmological model containing a phantom scalar
field $\phi$ endowed with an exponential potential of the form $V(\phi)=V_0
\exp(-\lambda \kappa \phi)$, and a perfect fluid with constant equation of
state $\gamma$; the latter can be of the phantom type too. As in the canonical
case, three characteristic solutions can be identified. The scaling solution
exists but is either unstable or of no physical interest. Thus, there are only
two stable critical points which are of physical interest, corresponding to the
perfect fluid and scalar field dominated solutions, respectively. The most
interesting case arises for $0> \gamma > -\lambda^2/3$, which allows the
coexistence of the three solutions. The main features of each solution are
discussed in turn.
