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The article reveals the potential of modelling the dynamics of sociocultural objects and processes as the effective means of studying the sociocultural reality at the modern stage of the human civilization development. There has been demonstrated that modelling the dynamics of sociocultural phenomena provides much better understanding of the behaviour of such a type systems in the course of their projecting and functioning under conditions of establishment and development of learning societies. It has been proved that the adult open education is a complex, open and non-linear system of sociocultural dynamics of «processual» nature, the elements of which are capable of self-organization, sensitive to the occasional interruptions in the stable condition, are able to change the behavioural scenarios at their own will. In managing the dynamics of sociocultural systems there are two approaches: the behavior management and goal management. It has been shown that the most effective strategy of managing the systems of sociocultural dynamics is considered to be the attractive management whose main point is to run the goal-attractor as a way of managing «the growing points» of self-organization for dynamic systems. An efficient tool for studying the dynamics of sociocultural systems is modelling. Modelling the dynamics of sociocultural systems of «processual» nature allows gaining a better understanding of their behaviour. It has been demonstrated that the processes of sociocultural dynamics are described by various trajectories of growth and descent (linear, logarithmic, exponential etc.) and can be represented by corresponding models. The conclusion has been drawn that the model of logistic trajectory (S-trajectory) gives a possibility for the most accurate description of the sociocultural processes behavior which are characterized by a slight growth at the beginning, gradual increase until the trajectory reaches the inflexion point and then the tempo decreases. The further development of the logistic model is the logistic evolution model which allows making a research of the phase sequence in the systems development through the sociocultural dynamics. The analysis of the sociocultural dynamics through the logistic evolution models gives a possibility for better understanding the nature of sociocultural processes and especially the situations when inconspicuous reasons cause dramatic consequences.
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