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The hope of nding new methods of predicting the course of historical processes, could be connected with the recent d e v elopments of the theory of self-organization, called also synergetics. It provides us with knowledge of constructive principles of coevolution of the complex social systems, coevo l u t i o n o f c o u n tries and geopolitical regions being at di erent stages of development, integration of the East and the West, the North and the South. Due to the growth of population on the Earth in blow-up regime, the general and local instability of development is increasing. The social world seems to go towards a unity, a sustainable commonwealth through the pulsations rather than monotonously. I t g o e s via alternation of disintegration, even if partial, and getting more powerful integrations of structures. There is a path of multiple reduction of temporal and material expenses, path of a resonant excitation of desirable and -that is not less important -feasible in a given social system structures. In the case of right topology of integration of geopolitical structures an arising whole organization can accelerate its tempo of evolution.