Spontaneous oscillations of the stereociliary bundle of a hair cell - the mechanosensory cell in auditory and vestibular systems - is considered to be a signature of an active amplification mechanism. We study whether an internal self-tuning process governs the active motility, by mimicking the effects of loud sound on the spontaneous oscillation. After the application of high-amplitude stimuli, with deflections on the order of micrometers applied to the hair bundle, the active oscillatory motion of the hair bundle was suppressed for hundreds of milliseconds, indicating a change in the dynamic state of the hair cell. Here we observe the recovery profile of an oscillating hair bundle after cessation of deflection. Data is compared to mathematical models which include a feedback equation to capture the temporal changes in the profile of the limit cycle oscillations.