On Denjoy's theorem for endomorphisms
- 1 June 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 6 (2) , 259-264
- https://doi.org/10.1017/s0143385700003436
Abstract
In this paper we give an extension to C2 endomorphisms of the circle of the well known Denjoy's theorem on C2 diffeomorphisms. We also give a simple proof of an extension of Block and Franke's theorem on the existence of periodic points for maps of the circle.Keywords
This publication has 4 references indexed in Scilit:
- A C∞ Denjoy counterexampleErgodic Theory and Dynamical Systems, 1981
- Continuous maps of the circle without periodic pointsIsrael Journal of Mathematics, 1979
- A closing lemma on the intervalInventiones Mathematicae, 1979
- Existence of periodic points for maps ofS 1Inventiones Mathematicae, 1973