Some smooth maps with infinitely many hyperbolic periodic points
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- by John M. Franks PDF
- Trans. Amer. Math. Soc. 226 (1977), 175-179 Request permission
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.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 226 (1977), 175-179
- MSC: Primary 58F20
- DOI: https://doi.org/10.1090/S0002-9947-1977-0436221-3
- MathSciNet review: 0436221