Il n’y a pas de contre-exemple de Denjoy analytique. (There are no analytic Denjoy counterexamples). (French) Zbl 0573.58023

Yoccoz, Jean-Christophe

C. R. Acad. Sci., Paris, Sér. I 298, 141-144 (1984).

It is shown that a real analytic homeomorphism of the circle which preserves orientation and has no periodic orbits is topologically conjugate to a rotation.

Reviewer: J.Durdil

MSC:

37G99	Local and nonlocal bifurcation theory for dynamical systems
54H20	Topological dynamics (MSC2010)

Keywords:

diffeomorphism of a circle; Denjoy counter-example; topologically conjugate