Research of Self-organization Processes in Socio-technical Multivariable Dynamic Systems

Various structures of self-organization processes in multivariable dynamic control systems of socio-technical dynamic objects are considered on the example of scientific schools and educational systems. The study of the mechanism for the emergence of synergistic properties in a given class of systems is carried out at the level of their mathematical models, which are a set of interconnected nonlinear differential equations. The description of a multivariable control system is based on its structural and functional decomposition into separate real subsystems and multidimensional connections between them. This description allowed us to identify some regularities in the emergence of synergistic properties. Numerical examples are given showing the advantages of this research technology.