Various studies (i.e.[1] and [2]) have revealed the attractors for the problem of parametrically excited pendulum by using both analytical and numerical means.The basins of attraction for periodic rotating orbits, which have been foreseen in the parameter space, were reported in [3] to be smaller than the theoretical one in experiment.As such basins are beneficial for purposes of energy harnessing, it is necessary to engineer solutions that facilitate the initiation and maintenance of stable rotational responses.