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 2017 · math.DSShow all

3 papers · 2 filters

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…

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…