The study of the mechanisms of X-ray generation in binary X-ray systems using the example of Cygnus X-1 within the framework of the statistical memory functions formalism

In this work, we study the mechanisms of radiation generation in double X-ray systems based on the Memory Functions Formalism. The method was applied to estimate the temporal parameters of the X-ray emission of Cygnus X-1 by constructing the frequency components of autocorrelators and their derivatives. Analysis of the functions and measures of statistical memory demonstrates the internal structural heterogeneity of the accretion disk generating X-ray radiation and the low rate of transformation of matter. The time periods corresponding to the most significant changes in the total X-ray flux and characterizing the main evolution of the binary system are equal to several hundred days. Possible ways to study the effects of synchronization and cross-correlations in the signals of accreting binary systems recorded at different frequency ranges are indicated.