Kink oscillations fitted with a general damping profile. Left panels: locations of the loop axis as a function of time for the three loops we consider. The background trends are shown by the dashed lines and the detrended signals are shown in the middle panels. Right panels: absolute values of the detrended extrema with the damping envelopes. The best fit curves correspond to exponential (red), Gaussian (blue), and general damping (green) profiles. The vertical dotted and dashed lines denote the start time of the oscillation and the switch time t_s, respectively.