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A simple proof of Denjoy's theorem

Published online by Cambridge University Press:  24 October 2008

R. S. MacKay
R. S. MacKay
Affiliation:
Mathematics Institute, University of Warwick, Coventry CV4 7AL
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Abstract

A simple proof of Denjoy's theorem on topological conjugacy of circle maps with irrational rotation number to uniform rotation is presented.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 2 , March 1988 , pp. 299 - 303
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

REFERENCES

[1]Arnol'd, V. I.. Geometric Methods in the Theory of Ordinary Differential Equations (Springer-Verlag, 1983).CrossRefGoogle Scholar
[2]Denjoy, A.. Sur les courbes définies par les équations différentielles à la surface du tore. J. Math. 11 (iv) (1932), 333–375.Google Scholar