Topological sequence entropy of \omega–limit sets of interval maps

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October 2001, 7(4): 781-786. doi: 10.3934/dcds.2001.7.781

Topological sequence entropy of $\omega$–limit sets of interval maps

1.	Department of Applied Mathematics and Statistics, Technical University of Cartagena, Cartagena (Murcia), Spain

Received November 2000 Revised April 2001 Published July 2001

Abstract
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Let $S$ be an increasing sequence of positive integers and let $\omega$ be an $\omega$–limit set of a continuous interval map $f$. We prove that $h_S(f|\omega) = 0$ if $h(f) = 0$, where $h_S(f)$ denotes the topological sequence entropy of $f$.

Keywords: interval maps, chaos., Topological sequence entropy, $\omega$–limit sets.

Mathematics Subject Classification: 26A18, 37B40, 37E0.

Citation: José S. Cánovas. Topological sequence entropy of $\omega$–limit sets of interval maps. Discrete & Continuous Dynamical Systems - A, 2001, 7 (4) : 781-786. doi: 10.3934/dcds.2001.7.781

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