Fractal Radiophysics. 1. Theoretical Bases

PACS numbers: 05.45.Df ,05.45.Tp Purpose: Currently, there is a tendency to “fractalize” the science. Radiophysics is no exception. The subject of this work is a review of the basic ideas of “fractalization”, the mathematical foundations of modern fractal methods for describing and exploring the world. The purpose of the work is to present the basic concepts, definitions and relationships of the modern theory of fractals, as well as the classification and analysis of existing numerical characteristics of fractals. Design/methodology/approch: The methods of constructing geometric monofractals and multifractals are considered. A comparative characteristic of the methods for assessing the dimension of physical fractals is given. Examples of physical fractals are given . Findings: In the development of the “fractalization” of science, 4 stages are distinguished: the era of “monsters”, the preparatory stage, the stage of formation and development, the modern stage. 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