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A simple proof of Denjoy's theorem

Published online by Cambridge University Press:  24 October 2008

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

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

Information

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1988

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), 333375.Google Scholar