Dynamic System of Social Network Communities’ Functioning

Social networks are not only a tool for communication. 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 communities of the Russian-Ukrainian segment of the social network "Vkontakte" in the period from 2013 to 2014. The community of a social network 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 of 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 article also discusses the problems of using distributed storage and data processing systems. This question is obvious in the context of multiple accesses to a 64 GB database. 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