We shall study spatially homogeneous cosmological models containing a
self-interacting scalar field with an exponential potential of the for
m V(phi) = Lambda e(k phi). The asymptotic properties of these models
are discussed. In particular, their possible isotropization and inflat
ion are investigated for all values of the parameter k. A particular c
lass of models is analyzed qualitatively using the theory of dynamical
systems, illustrating the general asymptotic behavior. (C) 1997 Ameri
can Institute of Physics.