We report on quasi-periodic variability found in two blazars included in
the Steward Observatory Blazar Monitoring data sample: the BL Lac object
3C 66A and the Flat Spectrum Radio Quasar B2 1633+38. We collect optical
photometric and polarimetric data in V and R bands of these sources from
different observatories: St. Petersburg University, Crimean
Astrophysical Observatory, WEBT-GASP, Catalina Real-Time Transient
Survey, Steward Observatory, STELLA Robotic Observatory, and Katzman
Automatic Imaging Telescope. In addition, an analysis of the γ-ray
light curves from Fermi-LAT is included. Three methods are used to
search for any periodic behaviour in the data: the Z-transform Discrete
Correlation Function, the Lomb-Scargle periodogram and the Weighted
Wavelet Z-transform. We find pieces of evidence of possible
quasi-periodic variability in the optical photometric data of both
sources with periods of ˜3 yr for 3C 66A and ˜1.9 yr for B2
1633+38, with significances between 3σ and 5σ. Only B2
1633+38 shows evidence of this behaviour in the optical polarized data
set at a confidence level of 2σ-4σ. This is the first
reported evidence of quasi-periodic behaviour in the optical light curve
of B2 1633+38. Also, a hint of quasi-periodic behaviour is found in the
γ-ray light curve of B2 1633+38 with a confidence level
≥2σ, while no periodicity is observed for 3C 66A in this energy
range. We propose different jet emission models that could explain the
quasi-periodic variability and the differences found between these two
sources.