A simple proof of Denjoy’s theorem. (English) Zbl 0648.57015
Summary: A simple proof of Denjoy’s theorem on topological conjugacy of circle maps with irrational rotation number to uniform rotation is presented.
MSC:
| 57R50 | Differential topological aspects of diffeomorphisms |
| 37C10 | Dynamics induced by flows and semiflows |
| 34C40 | Ordinary differential equations and systems on manifolds |
References:
| [1] | Arnol’d, Geometric Methods in the Theory of Ordinary Differential Equations (1983) · doi:10.1007/978-1-4684-0147-9 |
| [2] | Denjoy, J. Math 11 pp 333– (1932) |
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