The concept of “chaos measure” in the aspect of social synergetics

¹ St. Petersburg National Research University of Information Technologies, Mechanics and Optics (NRU ITMO), Center for Social and Humanitarian Knowledge, 197101, St. Petersburg, Russia
² Saint-Petersburg State University of Telecommunications named after prof. M.A. Bonch-Bruevich, Department of Social and Political Sciences, 193232, St. Petersburg, Russia

^* Corresponding author: swbusoff@mail.ru

Abstract

We understand chaos as a bifurcation process, the quantitative characteristic of which is reduced to the number of possibilities for the further evolution of the system, which in real time is directly expressed by self-oscillations of chaos and order (bifurcation cascade). The questions are being investigated: the scientific correctness of such formulations as ―chaos measure‖, ―evolution of chaos‖, correlation of the concepts ―measure of chaos‖ and ―magnitude of entropy‖; does the concept of ―measure of chaos‖ correlate with the concept of entropy; how the concepts of ―measure of chaos‖ and ―measure of order‖ relate, and is it possible to ―control‖ chaos? Models that study the evolution of open systems provide a bifurcation picture of development opportunities in at least two directions: complication and simplification, progress and regression, hierarchization of systems and their de-hierarchization, where a quantitative measure of chaos corresponds to the number of possible outcomes. The conclusion drawn from this is that human influence on the vector of the evolutionary process is reduced to a deliberate impact on the structure, which is commonly called the norm: an individual is able to comprehend the "measure of chaos" of the system of which he is an element, correlate it with the "measure of order" of the system and, setting the norm, thereby determine the direction to the superattractor.