Period doubling and the lefschetz formula

John M Franks*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


This article gives an application of the Lefschetz fixed point the­orem to prove, under certain hypotheses, the existence of a family of periodic orbits for a smooth map. The family has points of periods 2kp for some p and all k > 0. There is a version of the result for a parametrized family ft which shows that these orbits are “connected” in parametrized space under appropriate hypotheses.

Original languageEnglish (US)
Pages (from-to)275-283
Number of pages9
JournalTransactions of the American Mathematical Society
Issue number1
StatePublished - Jan 1 1985

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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