M. Plakhotnyk

activity

20162019

collaborators

10 papers

math.DS2019

Classification of commutative pairs of surjective maps of interval, one of which is unimodal

Makar Plakhotnyk

We introduce here a classification of unimodal maps $[0, 1] \to [0, 1]$ , which commute with piecewise linear surjective maps $[0, 1] \to [0, 1]$ . Remind that if conti…

math.DS2018

Infinite sequence on 2-element alphabet as coordinates of points, determines by unimodal maps

Makar Plakhotnyk

We study in this work different $(0, 1)$ -codings of points from the unit interval $[0, 1]$ in the relation with the treatment of continuous unimodal maps.

math.DS2018

On one generalization of skew tent maps

Makar Plakhotnyk

We generalize in this work the properties of the conjugacy of skew tent maps. It is known that the conjugacy $h$ from a skew tent map $g_{1}$ to $g_{2}$ is differentiable at a point $x…

math.DS2018

Piecewise linear unimodal maps with non-trivial continuous piecewise linear commutator

Makar Plakhotnyk

Let $g : [0, 1] \to [0, 1]$ be piecewise linear unimodal map. We say that $g$ has non-trivial piecewise linear commutator, if there is a continuous piecewise linear $ψ:\, […

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