Abstract
The skew tent map T is a chaotic map with rich dynamic properties. We present some interesting dynamical properties of the forts and the index function ε of skew tent maps. Using the coordinates of of forts of Tn, we present the exact expression of Tn(x) for \(n\in \mathbb {N}\). Further, we obtain the coordinates of all fixed points of Tn, and give a necessary and sufficient condition for the fixed point of Tn to be a p-periodic point of T for any p|n. This condition is so simple that we can easily present the exact expressions of all periodic points of T. We give the exact expressions of the coordinates of all forts and periodic points of this map.
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Chen, K., Shi, YG. & Xu, B. Periodic Points of Skew Tent Maps. J Dyn Control Syst 29, 443–454 (2023). https://doi.org/10.1007/s10883-022-09594-1
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DOI: https://doi.org/10.1007/s10883-022-09594-1