Article ID Journal Published Year Pages File Type
4658707 Topology and its Applications 2014 9 Pages PDF
Abstract

Let f denote a continuous map of the compact interval to itself. Suppose that f is topologically transitive. We show that if f exhibits a pattern and has the same topological entropy as the pattern, then f is topologically conjugate to the linearization of the pattern.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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