Study of solar activity from the position of multifractal analysis

More than 300 white light images of the solar disc have been analysed in the presented research during different periods of solar activity, including the 22nd, 23rd and the beginning of the current 24th solar cycle. Correlative correspondences between the values of fractal, information and correlation dimensions and the solar indexes, such as the international sunspot number, flare and solar flux indexes, have been revealed during the calculations. The results of the multifractal analysis have shown that this approach to a non-linear system investigation is sensitive to the dynamics of the processes occurring in the Sun and can be applied effectively to the study of solar activity.

► The dynamics of the group structure of sunspots is examined in the paper.
► 335 Images of the solar disc have been analysed during different periods of activity.
► We show that sunspot groups on the solar disc have a complex multifractal structure.
► Correlations between multifractal parameters and solar indexes have been revealed.