A recurrent nonrotational homeomorphism on the annulus

Academic Article


  • We construct an area- and orientation-preserving recurrent diffeomorphism on the annulus without periodic points, which is not conjugate to a rotation. The mapping is, however, semiconjugate to an irrational rotation of a circle. Our example is a counterexample to the Birkhoff Conjecture. © 1992 by American Mathematical Society.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Fokkin RJ; Oversteegen LG
  • Start Page

  • 865
  • End Page

  • 875
  • Volume

  • 333
  • Issue

  • 2