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Постійне посилання на розділhttps://repository.kpi.kharkov.ua/handle/KhPI-Press/35393

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  • Ескіз
    Документ
    Analysis of fractal noise indicators in measuring systems of technical objects
    (Technical University of Sofia, 2018) Davydov, Viacheslav; Zmiivska, Vitalina; Shypova, Тetiana; Lysytsia, Dmytro
    The indicators and characteristics of the estimation of the noise fractality and interference in systems for measuring the characteristics and condition of technical objects are considered. A reasoned choice of indicators used in prospect for the implementation of the fractality estimation method is carried out.
  • Ескіз
    Документ
    Prepropriate analysis of time series by methods of fractal analysis and phase trajectories
    (НТУ "ХПІ", 2018) Antonova, Iryna Vladimirovna; Chikina, Natalia Aleksandrovna
    The procedure of the qualitative analysis of time series, for which the hypothesis of trend existence isn’t confirmed, with application of the methods of nonlinear dynamics and the theory of chaos, is presented. The real time series characterizing prevalence of various skin diseases in Ukraine are considered. The basis for similar researches is Takens’s theorem. The randomness of the studied dynamical system given by time realizations is established by means of Lyapunov’s indicator. The state stability is estimated by Hausdorf’s fractal dimension and the fractality index. Visual evaluation of the time series was carried out by means of the phase trajectory restoration procedure. As a result of the analysis of phase pointsin the phase space the split attractor is indicated, which gives the chance to speak about its bifurcation.