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Registration Number

0224U001980, 0121U000208 , R & D reports

Title

Functions with fractal properties (sets of levels and distributions of values) and complicated dynamic systems are associated with them.

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Head

Pratsovytyi Mykola V., Доктор фізико-математичних наук

Registration Date

03-02-2024

Organization

Dragomanov Ukrainian State University

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For several classes of continuous nowhere monotone functions, which are almost everywhere differentiable and nowhere differentiable, defined in terms of systems of the representation of numbers, the topological, metric and fractal properties of sets of levels, sets of differential nature, which are essential for functions and distributions of values ​​of functions were studied.The spectral structure of marginal distributions, which corresping to the states of complex dynamic systems were investiged.

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Baranovskyi Oleksandr M.
Bondarenko Olga I.
Vasylenko Nataliya M.
Dmytrenko Serhii O.
Karvatsky Dmytro M.
Lysenko Iryna M.
Makarchuk Oleg P.
Maslova Yuliya P.
Moroz Mykola P.
Pratsovytyi Mykola V.
Ratushniak Sofiia P.
Svynchuk Olha V.
Skakun Dmytro Yu.

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2024-02-03