SIMULATION OF THE STRUCTURE OF NON-STATIONARY AND SHORT TIME SERIES OF SOLAR RADIATION BASED ON FRACTAL ANALYSIS

Abstract

The paper presents the results of processing the time series of solar radio emission by
the method of dynamic fractal analysis. The need to use this method is dictated by the nonlinearity and
dissipativity of the processes. It was found that if the found values of the fractal estimate 1 <D_t<1.5,
obtained on the basis of the time series of fluctuations in the solar radio emission, then the existing se-
ries has a persistent (inertial) character. The study of 5 proton events showed that the value of the calculated degree of fractal dimension is inversely proportional to the power of the proton event. It is estab-
lished that the use of the dynamic method of fractal analysis in radio astronomy time series makes it
possible to take into account the control of the restrained randomness of the physical state caused by the
processes occurring on the Sun and its interaction with the Earth’s atmosphere. This allows us to quali-
tatively and quantitatively evaluate the energy balance of the object we are studying. Thus, the modern
dynamic method - fractal analysis, gives more realistic results in the study of unsteady processes occur-
ring on the Sun. The practical application of the modern dynamic method of fractal analysis made it
possible to determine the dynamic parameters (evolution of spots, forecast flare events and estimate
their power, etc.) on the Sun.