  In order to elucidate the important characteristics of hysteretic response,
such as types of the frequency dispersion curves, the decay of hysteresis loop
area, the mechanism of domain nucleation and/or growth in the dynamic process,
etc., a followup examination after the original work has been presented. The
additive complementary treatment is essentially based on the results of recent
preprint arXiv:1302.2727 concerning the effect of oscillatory perturbation on
the surface enhancement phenomenon in magnetic thin films. Throughout the
analysis, the best appropriate parameter values have been chosen since they
would allow us to achieve striking results. The topology of the response for
different layer indices in two regimes of modified surface exchange has been
particularly emphasized.
