The current article proposes a mathematical model of society in terms of the author\'s socio-energy approach, as well as an explanation of its basic principles. Expression of social energy flow through the system is used as the basic equation, and then the model is based on the nonlinear dynamical system using the ideas of fractal geometry to calculate the individual elements of structures. A characteristic pattern of XX century in Russia and the beginning of XXI century was developed through this model.

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