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Distributional chaos on tree maps: the star case

Jose S. Cánovas — 2001

Commentationes Mathematicae Universitatis Carolinae

Let $𝕏 = {z \in ℂ : z^{n} \in [0, 1]}$ , $n \in ℕ$ , and let $f : 𝕏 \to 𝕏$ be a continuous map having the branching point fixed. We prove that $f$ is distributionally chaotic iff the topological entropy of $f$ is positive.

Topological entropy of Cournot-Puu duopoly.

Cánovas, Jose S.; Medina, David López — 2010

Discrete Dynamics in Nature and Society

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