Polynomial Entropy of Induced Maps of Circle and Interval Homeomorphisms

We compute the polynomial entropy of the induced maps on hyperspace for a homeomorphism f of an interval or a circle with finitely many non-wandering points. Also, we give a generalization for the case of an interval homeomorphism with an infinite non-wandering set.

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Bibliographic Details
Published in:Qualitative theory of dynamical systems 2023-09, Vol.22 (3), Article 103
Main Authors: Ɖorić, Maša, Katić, Jelena
Format: Article
Language:English
Subjects:
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Entropy
Hyperspaces
Mathematics
Mathematics and Statistics
Polynomials
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Description
Summary:We compute the polynomial entropy of the induced maps on hyperspace for a homeomorphism f of an interval or a circle with finitely many non-wandering points. Also, we give a generalization for the case of an interval homeomorphism with an infinite non-wandering set.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-023-00806-y