Abstract:Purpose. The article describes the main points of the origin, formation and development of the application of fractal theory, topology, fractional dimension theory and scaling in solving problems of radio electronics and radiophysics in the USSR and Russia in the IRE of the USSR Academy of Sciences and IRE RAS, since the 80s of the XX century. Methods.The relevance of the author’s research is related to the need for a more accurate description of the real processes occurring in modern intelligent radio systems. First of all, this takes into account the hereditarity (memory), non-Gaussianity, scaling (self-similarity, self-similarity) and topology of physical signals and fields. Results. All research is carried out in the fundamental scientific direction "Fractal Radiophysics and Fractal Radioelectronics: Design of Fractal Radio Systems initiated and developed by the author at the V.A. Kotelnikov IRE RAS from 1979 to the present. Conclusion. The author develops and reinforces his ideas that a new “fractal” dimension should be firmly introduced into radiosciences, and not as an auxiliary role, but as a fundamental explanatory factor. This allows us to move to a new level of the information structure of real nonMarkov signals and fields. The important role of RAS academician Yuri Vasilyevich Gulyaev in the development of this fundamental scientific field is shown. His participation is expressed, in particular, in his diverse assistance to the author in promoting his ideas in the USSR, Russia and the world.
Keywords:fractal, texture, scaling, fractional derivatives, radio physics, radio electronics, multi-profile radio.
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