  A driven pendulum with vertical oscillations of pendulum support (Kapitza
pendulum) possesses a number of unusual properties and is a popular object of
both analytical and numerical studies. Although some spectacular results can be
obtained, such as the vertical position of the pendulum under certain
conditions might become stable, no explicit analytical solution for the
pendulum trajectory is known. We carry out a numerical study of Kapitza
pendulum for a number of different physical regimes. Comparison is made with
the limiting cases where the exact solution is known.
