Some smooth maps with infinitely many hyperbolic periodic points
Open Access
- 1 January 1977
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 226, 175-179
- https://doi.org/10.1090/s0002-9947-1977-0436221-3
Abstract
If a smooth map of the two-disk to itself has only hyperbolic periodic points and has no source or sink whose period is a power of two then it has infinitely many periodic points. This and similar results are proved.Keywords
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