Activity Cycles of Solar-Type Stars with Superflares

Based on data of solar-type stars with superflares from the archive of the TESS space mission, the cyclical nature of their magnetic activity has been studied. Of the 711 stars with superflares selected according to papers by Tu (Tu Zuo-Lin) and co-authors, the KWS photometric archive of ground-based observations contains data for 401 stars (of which there are at least 300 brightness measurements for 331 stars). From this list of objects, manifestations of cyclical activity were detected in 115 objects. The relations between the values of rotation periods and cycles of activity of objects have been studied. It has been found that the corresponding diagrams indicate that the cyclic properties of the studied G-dwarfs with superflares coincide with other stars. This has made it possible to conclude that the mechanism of activity is likely to be common. The slope of dependence obtained by joint approximation by dominant cycles for G-dwarfs with superflares and other objects is equal to $$1.03 \pm 0.03$$ , which corresponds to the available literature data. Probably, two sequences with the same slope, which may correspond to analogues of the Schwabe solar cycle and the cycle with duration of 2‒3 years, are distinguished in the diagram.