Minimal periodic orbits and topological entropy of interval maps

Du, Bau-Sen

doi:10.1090/S0002-9939-1987-0891150-8

Minimal periodic orbits and topological entropy of interval maps
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Proc. Amer. Math. Soc. 100 (1987), 482-484 Request permission

Abstract:

For any two integers $m \geq 0$ and $n \geq 1$, we construct continuous functions from $\left [ {0,1} \right ]$ into itself which have exactly one minimal periodic orbit of least period ${2^m}\left ( {2n + 1} \right )$, but with topological entropy equal to $\infty$.

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