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

Simple periodic orbits of mappings of the initial


Author: Louis Block
Journal: Trans. Amer. Math. Soc. 254 (1979), 391-398
MSC: Primary 58F20; Secondary 28D20, 54H20
MathSciNet review: 539925
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Abstract: Let f be a continuous map of a closed, bounded interval into itself. A criterion is given to determine whether or not f has a periodic point whose period is not a power of 2, which just depends on the periodic orbits of f whose period is a power of 2. Also, a lower bound for the topological entropy of f is obtained.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1979-0539925-9
PII: S 0002-9947(1979)0539925-9
Article copyright: © Copyright 1979 American Mathematical Society