Entropy Functionals and Information Difference of Satellite-Monitoring Time Series

Abstract

The results of information analysis of the time series of satellite monitoring of the state of the interplanetary magnetic field provided by the database of the Goddard Space Flight Center. In the arsenal of analysis methods, the main attention is paid to the control of nonextensive properties when scaling time samples created on the basis of the 2001–2022 time series. The reconstruction of the modality of the probability-distribution function for the components of the interplanetary magnetic field in the considered ensemble of realizations is demonstrated. The results of the reconstruction of the kinetics of the Shannon–Boltzmann–Gibbs, Tsallis, and Rényi entropy measures are presented. In a nonextensive approximation, the influence of q-deformation of the phase space on the stochastic regimes of the system under study. In this work, for the first time, the kinetics of information discrepancy and the kinetics of entropy measures of the ensemble of realizations of the values of the interplanetary magnetic field are studied together. The need for approval is indicated by the q-deformation parameters of the phase space, the reference and controlled subsystems, including when using asymptotic approximations in forecasting methods using neural-network algorithms and deep-learning algorithms.