  We examine the solutions of the equations of motion for an expanding
Universe, taking into account the radiation of the inflaton field energy. We
then analyze the question of the generality of inflationary solutions in this
more general setting of a dissipative system. We find a surprisingly rich
behavior for the solutions of the dynamical system of equations in the presence
of dissipational effects. We also determine that a value of dissipation as
small as $\sim 10^{-7} H$ can lead to a smooth exit from inflation to
radiation.
