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The construction of chaotic maps in the sense of Devaney on dendrites which commute to continuous maps on the unit interval
Let $f$ be a continuous map from the unit interval to itself. In this paper, it is shown that $f$ has positive topological entropy if and only if $f$ is pointwise $P$-expansive for some periodic orbit $P$ of $f$. And it is also proved that if $f$ has a periodic …