We present the analysis of 510 light curves in V and I bands of 255 giant stars in the globular cluster NGC 3201. Our aim is to expand the sample of new types of variables reported in a previous study. These variables show a short period (P V < 0.6 day) and a low amplitude (A(V) < 0.06 mag.). We first searched for variability using the generalized Lomb–Scargle and phase dispersion minimization periodograms of the sample, discarding 167 stars as non-variables. We then applied the significance test and reduced the sample to 88 giants, of which we classified 18 as possible variables, 11 as dubious, 41 as non-variables, and 18 as variables. We finally determined the cluster membership of this sample and grouped each star based on their light-curve shape. The discovered variables show periods in the range 0.2440 < P V < 0.5868 days and amplitudes between 0.010 < A(V) < 0.064 mag. Within the sample of 18 variable stars, we report the discovery of an object with a period P V = 0.3603 ± 0.0012 and amplitude A(V) = 0.703 ± 0.029 mag that shows a RR Lyrae ab-type light curve. Additionally, we report two RR Lyrae ab and c types with ultralow amplitude.
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