Dynamic system of functioning of social network communities

Social networks are no longer used only as a tool for global communication of various segments of society in different countries. It is turned into a socio-political asset in the struggle for the specific interests of a group of people who can acquire and/or manage this asset. In the paper we use data of a number of communities of the Russian-Ukrainian segment of the social network «Vkontakte». The study formalizes one of the functional features of a social network: a community (group). The community is considered from the position of a tool for forming opinions and aggressive influence on a single person, some small or wide community. The issue of using information and communication technologies in a destructive way is being updated. The processes occurring in the social network community are shown in the form of a system of first-order differential equations. The system is investigated for stability by the method of Lyapunov functions. One of the tasks of the study is to identify and characterize the border regimes in which the functioning of the community goes from a stable state to chaos. The simulation model of the constructed dynamic system under different initial simulation conditions is considered. The use of mathematical physics tools to describe the processes of cyber-physical systems, including in the task of evaluating text messages with signs of aggression, in a distributed computing environment allows us to assess the trajectory of their evolvement under various initial conditions.