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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Computing the topological entropy of general one-dimensional maps


Authors: P. Góra and A. Boyarsky
Journal: Trans. Amer. Math. Soc. 323 (1991), 39-49
MSC: Primary 58F11; Secondary 54H20
MathSciNet review: 1062871
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Abstract: A matrix-theoretic method for computing the topological entropy of continuous, piecewise monotonic maps of the interval is presented. The method results in a constructive procedure which is easily implemented on the computer. Examples for families of unimodal, nonunimodal and discontinuous maps are presented.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1991-1062871-7
PII: S 0002-9947(1991)1062871-7
Article copyright: © Copyright 1991 American Mathematical Society