We investigated experimentally the dynamical hysteresis in a weakly ionized rf magnetoplasma system by varying the frequency of the triangular modulation of the amplitude of rf voltage. The modulation covered a region consisting of two cascaded hysteresis loops with four different states. The high-frequency modulations cause finite delays of the onsets of bifurcations in the hysteresis diagrams. Power-law dependence of the delay width of bifurcation on the modulation frequency was observed. The finite delay at the bifurcation makes the system bypass certain states in the modulation cycle as the frequency increases. The bypassing processes occur stochastically and the probability of bypassing increases with the modulation frequency. Mode-locking windows with finite width exist in the high-frequency regime.
