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

 

Primary cycles on the circle


Authors: Louis Block, Ethan M. Coven, Leo Jonker and Michał Misiurewicz
Journal: Trans. Amer. Math. Soc. 311 (1989), 323-335
MSC: Primary 58F08; Secondary 26A18, 54H20
MathSciNet review: 974779
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Abstract: We consider cycles, i.e., periodic orbits, of continuous degree one maps of the circle. One cycle forces another if every such map that has a cycle which looks like the first also has a cycle which looks like the second. We characterize primary cycles, i.e., those which force no other cycle of the same period.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1989-0974779-4
PII: S 0002-9947(1989)0974779-4
Article copyright: © Copyright 1989 American Mathematical Society