Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 54H20, 26A18, 58F08, 58F20

Retrieve articles in all journals with MSC: 54H20, 26A18, 58F08, 58F20


Additional Information

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