Nowadays, as the system of scientific knowledge itself is radically implemented, the clear boundaries between practical and cognitive activity are eroded. In the system of scientific knowledge there are intensive processes of differentiation and integration of knowledge, complex researches, new ways and methods of cognition, methodological installations, new elements of the world picture are developed, the earlier unknown, more complex types of objects of cognition characterized by historicism, universality, the complexity of organizations that had not previously been subjected to theoretical modeling. One of such new directions in modern natural sciences and social development is presented in synergy. Synergetics is a direction and a general scientific program of interdisciplinary research that studies the process of self-organization and the formation of new orderly structures in open physical, biological, social, cognitive, informational, environmental and other systems. Synergetics gives a new image of the world. At the heart of the synergetic paradigm is a special relation to the problems of determinism and the emphasis on the processes occurring in the “exacerbation mode”. Determinism captures the activity of being and states that any thing is the result of changing other things, they are rooted in them. The synergetic paradigm rests on a certain conceptual-categorical apparatus, an entropy-categorical apparatus: an entropy approach, chaos, bifurcation, dissipative system, disaster, self-motion, and others. No less important in synergy is the category of self-organization. Self-organization – an active process of formation, reproduction, preservation or improvement of the organization of a complex dynamic system, ensuring its normal existence and functioning as a holistic entity The urgency of researching the processes of self-organization is explained primarily by the need to solve the problem of creating on completely new principles of cybernetic systems capable of performing functions that have traditionally been considered the exclusive prerogative of the human brain. The synergistic experimental paradigm involves a rethinking of the phenomenon of fluctuations (from lat fluctuation - fluctuations) – (mathematics) fluctuations or some kind of periodic change, a random deviation from the mean value physics) accidental deviation of the value of the physical quantity from the average in a certain area of space or at a certain point in time; (finance) exchange rate fluctuations; (medicine) a symptom of the presence of fluid in the closed cavity of the body, which is available palpation. The more complex the system, the more there are various types of fluctuations that can threaten its stability. The system passing through the stability threshold falls into the critical state of the bifurcation (the branch point). It is at such a point that the system becomes unstable in relation to fluctuations and can move to a new sphere of stability, that is, to the formation of a new state. Thus, synergy with its interdisciplinary arsenal of methods can become an adequate tool for analyzing the complex dynamic processes occurring in nature and in modern society.