Analysis of Frequency-Phase Synchronization Effects in Wolf Number Signals and Solar Radio Emission: 1. Parametrization in the Framework of Memory Functions Formalism

In this paper, we perform the parameterization of cross-correlations and frequency-phase synchronization effects in the dynamics of simultaneously recorded solar activity indices: the Wolf number and radio emission recorded in different frequency ranges. The statistical analysis of the specified time signals is performed within the framework of the author’s method—the Memory Functions Formalism. As a result, based on the calculation of time correlation functions and statistical memory functions, their power spectra, and an estimate of the fractal dimension, the relationships between various mechanisms of radio emission generation are established. In addition, the indices of solar activity with the most pronounced effects of frequency-phase synchronization are identified. The results obtained provide additional information on the structure and physicochemical properties of the upper layers of the solar atmosphere, as well as on collective phenomena associated with solar flares.