Перегляд за автором "Onishchenko, A. A."
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Публікація Fractal Analysis in Problems of the Applied Physics(Taras Shevchenko National University of Kyiv, 2022) Chernogor, L. F.; Lazorenko, O. V.; Onishchenko, A. A.For the researchers, a review of the existing mono-fractal analysis methods applied in different branches of modern applied physics is proposed. For each mono-fractal analysis method, some actual references allowing to study the method and to develope corresponding numerical realization are givenПублікація Fractal analysis in space physics(Taras Shevchenko National University of Kyiv, 2022) Chernogor, L. F.; Lazorenko, O. V.; Onishchenko, A. A.According to the non-linear and the system paradigms, many processes generated in open, non-linear, dynamical systems under influence of a powerful source of energy release are appeared to be short-time, ultrawideband, non-linear and fractal. In applied physics, there are a lot of such processes and such systems. Therefore, to investigate the fractal properties of the signals and processes generated in the open, non-linear, dynamical systems, the set of corresponding methods are needed. Namely such modern and effective methods had been united in fractal analysis. Suddenly, but these methods are often appeared to be quite unknown for the most part of researchers, which work in space physics. No doubt, this state should be changed.Публікація Fractal analysis of The fractal ultra-wideband signals(2015) Chernogor, L. F.; Lazorenko, O. V.; Onishchenko, A. A.; Karazin, V. N.The results of fractal analysis of the fractal ultra-wideband (FUWB) signals were proposed. With usage of the continuous wavelet transform the time-frequency structure of that signals was investigated. Calculating the box and the regularization dimensions for each model signal with various its parameters values, three different estimators were applied. The optimal estimations of the fractal dimension value for each FUWB signal model were defined.Публікація Multi-Fractal Analysis in Problems of the Applied Physics(Taras Shevchenko National University of Kyiv, 2023) Chernogor, L. F.; Lazorenko, O. V.; Onishchenko, A. A.According to the non-linear and the system paradigms, many processes generated in open, non-linear, dynamical systems under influence of a powerful source of energy release are appeared to be short-time, ultrawideband, non-linear and fractal. In the paper [1] published one year ago, we have introduced a short review of the existing mono-fractal analysis methods, which can be useful and quitly applicable for solving of the applied physics problems, where there are a lot of such processes and such systems. To investigate their fractal properties more extended, the multi-fractal analysis methods should be applied. Unfortunately, similar the monofractal analysis methods, these methods are often appeared to be quite unknown for the most part of researchers too.Публікація Second-Order Fractals in the Geospace Researches(Astronomy and Space Physics in the Kyiv University, 2023) Chernogor, L. F.; Lazorenko, O. V.; Onishchenko, A. A.According to the non-linear and the system paradigms, many processes generated in open, non-linear, dynamical systems under influence of a powerful source of energy release are appeared to be short-time, ultra-wideband, nonlinear and fractal. The geospace was shown to be a good example of such systems. Many processes caused in geospace by the non-stationary powerful sources of energy release have significant fractal properties. Therefore, the investigations of such properties seems to be actual and interesting