Some smooth maps with infinitely many hyperbolic peridoic points

John M. Franks*

*Corresponding author for this work

Research output: Contribution to journalArticle

31 Scopus citations

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.

Original languageEnglish (US)
JournalTransactions of the American Mathematical Society
Volume226
DOIs
StatePublished - Jan 1 1977

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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