  The manipulation of the self-organized critical systems by repeatedly
deliberate local relaxations (fillips) affect considerably the dynamics of
avalanches and change their evolution. During a fillip, the energy diffuses to
the neighboring regions, causing a smoothening of the height filed over the
system. The fillips are controlled by a parameter $\zeta$ which is related to
the number of local smoothening events in an avalanche. The system shows a new
(mass and time) scales, leading to some oscillatory behaviors. A bifurcation
occurs at some $\zeta$ value, above which some oscillations occur in the mean
energy, and also in the autocorrelation functions. These oscillations are
associated with \textit{spanning avalanches} which are due to the accumulation
of energy in the smoothed system. The analysis of the rare event waiting time
(REWT) confirms also the appearance of this new time scale. A mean field
analysis is presented to explain some results.
