PROPERTY OF EXTENDED SCALE INVARIANCE IN THE DYNAMICS OF WOLF NUMBERS

Ledovskaya Ekaterina Valerievna, Vysotskaya Anna Arkadyevna, Goryachev Anton Aleksandrovich, Pronina Elena Nikolaevna

One of the features of the Sun is almost periodic, regular changes in various manifestations of solar activity. The most well-known phenomenon is sunspots, areas with a strong magnetic field and low temperature, the number of which is determined by Wolf numbers. The relevance of studying solar activity and predicting its changes is due to the fact that this knowledge allows us to describe the future, current and past states of the atmosphere. The purpose of the study is to study the Kolmogorov structural functions based on Wolf numbers. The problem of studying the dynamics of Wolf numbers is solved. A hypothesis is put forward that two qualitatively different ranges can be distinguished in the structural functions. To identify hidden periodicities, the following methods of studying structural functions are used: boundaries of scale invariance ranges, phase change points, maxima and minima. As a result of the calculations, it is shown that the property of extended scale invariance is manifested in the dynamics of Wolf numbers, it is expressed in the form of power interdependencies of structural functions of different orders, not only in the range of classical self-similarity, but even beyond it. If simple self-similarity is typical for average monthly data, then intermittency is possible in daily dynamics. The property of extended scale invariance indicates the presence of long-range correlations in the dynamics of Wolf numbers and the interrelationship of all solar activity cycles.

Keywords:Wolf’s numbers, structural function, scaling, extended self-similarity, intermittency, long-range correlation