DYNAMICAL SYSTEM-ANALYSIS FOR INFLATION WITH DISSIPATION

We examine the solutions of the equations of motion for an expanding U niverse, taking into account the radiation of the inflaton field energ y: We then analyze the question of the generality of inflationary solu tions in this more general setting of a dissipative system. We find a surprisingly rich behavior for the solutions of the dynamical system o f equations in the presence of dissipational effects. We also determin e that a value of dissipation as small as similar to 10(-7) H can lead to a smooth exit from inflation to radiation.