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Periodic orbits of maps of \(Y\). (English) Zbl 0803.54032
Summary: We introduce some notions that are useful for studying the behavior of periodic orbits of maps of one-dimensional spaces. We use them to characterize the set of periods of periodic orbits for continuous maps of \(Y= \{z\in \mathbb{C}\): \(z^ 3\in [0,1]\}\) into itself having zero as fixed point. We also obtain new proofs of some known results for maps of an interval into itself.

MSC:
54H20 Topological dynamics (MSC2010)
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