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- W2889734354 abstract "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 $x^*$ if and only if there exists left and right limits $limlimits_{nrightarrow infty}h_n'(x^*-)$ and $limlimits_{nrightarrow infty}h_n'(x^*+)$, where $h_n$ is a piecewise linear function, which coincides with $h$ at $g_1^{-n}(0)$, and all whose kinks belong to $g_1^{-n}(0)$. The attempts to generalize this result to some reacher class of unimodal maps is natural. For this reason we introduce the class of piecewise linear maps, all whose kinks are in the complete pre-image of $0$ and study the relation of the differential properties of their conjugacy with ones of the mentioned approximation~$(h_n)_{ngeq 1}$." @default.
- W2889734354 created "2018-09-27" @default.
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- W2889734354 date "2018-09-05" @default.
- W2889734354 modified "2023-09-27" @default.
- W2889734354 title "On one generalization of skew tent maps" @default.
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