Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2025-01-04T09:41:39.032Z Has data issue: false hasContentIssue false
  • English
  • Français

Rotation sets are closed

Published online by Cambridge University Press:  24 October 2008

Ryuichi Ito
Ryuichi Ito
Affiliation:
University of Warwick
Get access Rights & Permissions [Opens in a new window]

Extract

The rotation number ρ of an orientation preserving homeomorphism of a circle was originally defined by Poincaré It measures the asymptotic rotation of the orbit of each point under iterations of the homeomorphism (see, for example, (2)).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 89 , Issue 1 , January 1981 , pp. 107 - 111
Copyright
Copyright © Cambridge Philosophical Society 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Newhouse, S., Palis, J. and Takens, F.Stable Families of Dynamical System I: Diffeomorphisms. Preprint, I.M.P.A., Rio, Brazil.Google Scholar
(2)Nitecki, Z.Differentiable Dynamics. M.I.T. Press, 1971.Google Scholar