SIMPLEST COSMOLOGICAL MODEL WITH THE SCALAR FIELD

We investigate the simplest cosmological model with the massive real s calar noninteracting inflaton held minimally coupled to gravity. The c lassification of trajectories in closed minisuperspace Fiedmann-Robert son-Walker model is presented. The possible fractal nature of a set of infinitely bounced trajectories is discussed. The results of numerica l calculations are compared with those obtained by perturbative analyt ical calculations around the exactly solvable minisuperspace cosmologi cal model with massless scalar held.