M. Plakhotnyk

activity

20162020

most citedThe max-plus algebra of exponent matrices of tiled orders

4 citations · 6 across the 13 of their papers we have counts for

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Showing 2017Show all

6 papers · 1 filter

math.DS2017

Self-semiconjugation of piecewise linear unimodal maps

Makar Plakhotnyk

We devote this work to the functional equation $ψ \circ g = g \circ ψ$ , where $ψ$ is an unknown function and $g$ is piecewise linear unimodal map, which is topologically conjugated t…

cs.OH2017

A HelloWord \textsc{Bib}\negthinspace\TeX~stile file .\textbf{bst}

Makar Plakhotnyk

A HelloWord \textsc{Bib}\negthinspace\TeX~stile file .\textbf{bst} is described

math.DS2017

The derivative of the conjugacy for the pair of tent-like maps from an interval into itself

Makar Plakhotnyk

We consider in this article the properties of the topological conjugacy of the piecewise linear unimodal maps $g : [0, 1] \to [0, 1]$ , all whose kinks belong to the com…

math.DS2017

Self semi conjugations of Ulam's Tent-map

Makar Plakhotnyk

We study the self-semiconjugations of the Tent-map $f : x \mapsto 1 - ∣2 x - 1∣$ for $x \in [0, 1]$ . We prove that each of these semi-conjugations $ξ$ is piecewise linear. For any $n\i…

math.RA2017★ 4 cited

The max-plus algebra of exponent matrices of tiled orders

Mikhailo Dokuchaev, Vladimir V. Kirichenko, Ganna Kudryavtseva +1

An exponent matrix is an $n \times n$ matrix $A = (a_{ij})$ over $N^{0}$ satisfying (1) $a_{ii} = 0$ for all $i = 1, \dots, n$ and (2) $a_{ij} + a_{j k} \geq a_{ik}$ for all pairwise…

math.HO2017

Kepler's laws with introduction to differential calculus

Makar Plakhotnyk

We explain the solution of the following two problems: obtaining of Kepler's laws from Newton's laws (so called two bodies problem) and obtaining the fourth Newton's law (the formu…