About the Specificity of the Analysis of Socio-Economic Systems in the Conditions of Digitalization

The work considers the features of the system paradigm in relation to the analysis of socio-economic and socio-political phenomena. These phenomena are considered from the point of their systemic properties, and their structure is presented as a set of interacting, transforming and evolving subsystems. It is noted that these systems are a part of the world around us, that is stable in time and space, possessing the properties of external integrity and internal diversity. In the conditions of digitalization, new opportunities for disclosing this diversity arise, for example, based on the use of Big Data and the implementation of the technological capabilities of their use in the presence of the necessary mathematical tools, implemented through the creation of appropriate models. The authors note, that the disclosure of the fractal nature of socio-economic systems allows to form models of their development, taking into account the emerging uncertainties, associated with their interaction with the environment. The author presents a mathematical model, that allows to take into account all the variety of external effects through the interrelation of the reaction of the object, design, process and environmental subsystems to it. Moreover, their interrelation acts as elements of an order, that preserves the memory of previous states of the system and ensures its reproduction during evolutionary development as a self-similar quasi-resistant to external effects system.