Comparing periodic orbits of maps of the interval

Bernhardt, C.; Coven, E.; Misiurewicz, M.; Mulvey, I.

doi:10.1090/S0002-9947-1992-1079051-2

Comparing periodic orbits of maps of the interval
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by C. Bernhardt, E. Coven, M. Misiurewicz and I. Mulvey PDF

Trans. Amer. Math. Soc. 333 (1992), 701-707 Request permission

Abstract:

Let $\pi$ and $\theta$ be cyclic permutations of finite ordered sets. We say that $\pi$ forces $\theta$ if every continuous map of the interval which has a representative of $\pi$ also has one of $\theta$. We give a geometric version of Jungreis’ combinatorial algorithm for deciding in certain cases whether $\pi$ forces $\theta$ .

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