  We analyze the dynamics of a single scalar field in
Friedmann-Robertson-Walker universes with spatial curvature. We obtain the
fixed point solutions which are shown to be late time attractors. In
particular, we determine the corresponding scalar field potentials which
correspond to these stable solutions. The analysis is quite general and
incorporates expanding and contracting universes with both positive and
negative scalar potentials. We demonstrate that the known power law,
exponential, and de-Sitter solutions are certain limits of our general set of
solutions.
