Creation and development of the fundamental area "Fractal radiophysics and fractal radio electronics: development of fractal radio systems”. Part 2. Selected results and perspective trends

Abstract

In the second part of the article, the main results on the creation of new information technologies based on textures, fractals, fractional operators and nonlinear dynamics methods obtained over 40 years by the author and the team under his leadership are presented. The investigation has been conducted within the framework of the research area “Fractal Radio physics and Fractal Radio electronics: Designing Fractal Radio Systems”, initiated and developed by the author in the V. A. Kotelnikov Institute of Radio Technologies and Electronics of the Russian Academy of Sciences from 1979 until the present day. Introduction of the above-mentioned radiolocation terms to the scientific use enabled the author for the first time in the world to propose and then apply new dimensional and topological (but not energy!) features or invariants that are combined under the generalized concept of “sampling topology” ~ “fractal signature”.