@article{Kirichenko_Plakhotnyk_2016, title={Topological conjugate piecewise linear unimodal mappings of an interval into itself}, volume={68}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1835}, abstractNote={Let $f, g : [0, 1] \rightarrow [0, 1]$ be a pair of continuous piecewise linear unimodal mappings and let $f$ be defined as follows: $f(x) = 2x$ for $x \leq 1/2$ and $f(x) = 2 - 2x$ for $x > 1/2$. Also let $h : [0, 1] \rightarrow [0, 1]$ be a piecewise differentiable homeomorphism such that $fh = hg$. Then $h$ is piecewise linear and the mapping $f$ completely determines $g$ and $h$, together with the ascending or descending monotone parts of $g$. }, number={2}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Kirichenko, V. V. and Plakhotnyk, M. V.}, year={2016}, month={Feb.}, pages={217-226} }