Skip to main content
Log in

Characterization of the rotation set and existence of periodic points of endomorphisms of a circle

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. L. Block and J. Franke, “Existence of periodic points for the map ofS 1,”Inv. Math.,22, 69–73 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  2. L. Block and J. Franke, “A classification of the structurally stable contracting endomorphism ofS 1,”Proc. Am. Math. Soc.,36, 597–602 (1972).

    MathSciNet  MATH  Google Scholar 

  3. S. Newhouse, J. Palis, and F. Takens, “Bifurcations and stability of families of diffeomorphisms,”Publ. Math. IHES,57, 5–71 (1983).

    Article  MathSciNet  MATH  Google Scholar 

  4. J. Palis and W. de Melo,Geometric Theory of Dynamical Systems. An Introduction, Springer-Verlag, New York-Heidelberg-Berlin (1982).

    Book  MATH  Google Scholar 

Download references

Authors

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 22, Dynamical Systems-3, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, W. Characterization of the rotation set and existence of periodic points of endomorphisms of a circle. J Math Sci 83, 539–542 (1997). https://doi.org/10.1007/BF02434984

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02434984

Keywords

Navigation