Abstract
In order to develop further the methods of scenario building and to facilitate the paths towards desirable and sustainable futures, we cannot do without a nonlinear evolutionary thinking. The theory of self-organization of complex systems, called also synergetics, is a scientific basis for such a thinking, the main principles of which are under consideration in the paper. Synergetics provides us with the knowledge of constructive principles of coevolution of the complex social systems, coevolution of countries and geopolitical regions being at different stages of development, integration of the East and the West, the North and the South.