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On Block's condition for simple periodic orbits of functions on an interval


Author: Chung-Wu Ho
Journal: Trans. Amer. Math. Soc. 281 (1984), 827-832
MSC: Primary 54H20; Secondary 26A18, 58F08, 58F20
DOI: https://doi.org/10.1090/S0002-9947-1984-0722777-3
MathSciNet review: 722777
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Abstract: Recently, L. Block has shown that for any mapping $ f$ of an interval, whether $ f$ has a periodic point whose period contains an odd factor greater than $ 1$ depends entirely on the periodic orbits of $ f$ whose periods are powers of $ 2$. In this paper the author shows that Block's result is a special case of a more general phenomenon.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1984-0722777-3
Article copyright: © Copyright 1984 American Mathematical Society

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