Создание и развитие фундаментального направления «фрактальная радиофизика и фрактальная радиоэлектроника: проектирование фрактальных радиосистем» Часть 1. Теория и основные научные направления.
DOI:
https://doi.org/10.31489/2019No1/137-143Ключевые слова:
радиофизика, радиолокация, нелинейная динамика, теория размерности, текстуры, фракталы, масштабирование, дробные операторыАннотация
В первой части статьи представлены созданные и разработанные автором за 40 лет научные направления в новых информационных технологиях на основе текстур, фракталов, дробных операторов и методов нелинейной динамики. Исследование проводится в рамках фундаментального научного направления «Фрактальная радиофизика и фрактальная радиоэлектроника: проектирование фрактальных радиосистем», инициированного и разрабатываемого автором в ИРЭ им. В. А. Котельникова РАН с 1979 года по настоящее время.
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Potapov A.A. On the Issues of Fractal Radio Electronics. Part 1. Processing of Multidimensional Signals, Radiolocation, Nanotechnology, Radio Engineering Elements and Sensors. Eurasian Physical Technical Journal. 2018, Vol. 15, No. 2(30), pp. 5 – 15.
Potapov A.A. On the Issues of Fractal Radio Electronics. Part 2. Distribution and Scattering of Radio Waves, Radio Heat Effects, New Models, Large Fractal Systems. Eurasian Physical Technical Journal. 2018, Vol. 15, No. 2(30), pp. 16 – 23.
Potapov Alexander A. Chaos Theory, Fractals and Scaling in the Radar: A Look from 2015. Chapter 12 in the book: The Foundations of Chaos Revisited: From Poincaré to Recent Advancements. Switzerland, Basel, Springer Int. Publ., 2016, pp. 195 – 218.
Potapov Alexander A. On the Indicatrixes of Waves Scattering from the Random Fractal Anisotropic Surface. Chapter 9 in the book: Fractal Analysis - Applications in Physics, Engineering and Technology. Rijeka, InTech, 2017, pp. 187 – 248.
Potapov Alexander A. Postulate “The Topology Maximum at the Energy Minimum” for Textural and Fractal-and-Scaling Processing of Multidimensional Super Weak Signals against a Background of Noises. Chapter 3 in the book: Nonlinearity: Problems, Solutions and Applications. Vol. 2. New York, Nova Science Publ., 2017, pp. 35 – 94.
Alisultanov Z.Z., Agalarov A.M., Potapov A.A., Ragimkhanov G.B. Some Applications of Fractional Derivatives in Many - Particle Disordered Large Systems. Chapter 7 in the book: Fractional Dynamics, Anomalous Transport and Plasma Science. Switzerland: Springer Int. Publ., 2018, pp. 125 – 154.
Potapov A.A. Multiple scattering of waves on a fractal ensemble of particles and in large disordered fractal systems. In the book: ""Turbulence, Atmospheric and Climate Dynamics."" Moscow, Fizmatkniga, 2018, pp. 564-573.
Potapov A.A. Fractal-scaling or scale-invariant radiolocation and fractal signal and image processing. Collection of scientific papers on the 65th anniversary of the foundation of V. A. Kotelnikov IRTE of the RAS and the 110th anniversary of the birth of Academician V. A. Kotelnikov. Moscow, V. A. Kotelnikov IRTE of the RAS, 2018, pp. 99-104.
Potapov A.A. Wave scattering on a stochastic fractal surface. Collection of scientific papers on the 65th anniversary of the foundation of V. A. Kotelnikov IRTE of the RAS and the 110th anniversary of the birth of Academician V. A. Kotelnikov. Moscow, 2018, pp. 155-159.
Professor Alexander Alekseevich Potapov. Biography and Bibliography Reference. Ed. by Academician Yu. V. Gulyaev. Moscow, 2019, 169 p.
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