The solar activity by wavelet-based multifractal analysis

The interest in the relation between the solar activity and climate change is increasing. As for the solar activity, a fractal property of the sunspot series was studied by many works. In general, a fractal property was observed in the time series of dynamics of complex systems. The purposes of this study were to investigate the relationship between the sunspot number, solar radio flux at 10.7 cm (F10.7 cm) and total ozone from a view of multifractality. To detect the changes of multifractality, we examined the multifractal analysis on the time series of the solar activity and total ozone indices. The changes of fractality of the sunspot number and F10.7 cm are very similar. When the sunspot number becomes maximum, the fractality of the F10.7 cm changes from multifractality to monofractality. The changes of fractality of the F10.7 cm and the total ozone are very similar. When the sunspot number becomes maximum, the fractality of the total ozone changes from multifractality to monofractality. A change of fractality of the F10.7 cm and total ozone was observed when the solar activity became maximum. The influence of the solar activity on the total ozone was shown by the wavelet coherence, phase and the similarity of the change of fractality. These findings will contribute to the research of the relationship between the solar activity and climate.