Skip to main content
SpringerLink
Log in

On the bifurcation of maps of the interval

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bowen, R., Franks, J.: The periodic points of maps of the disk and the interval. Topology15, 337–343 (1976)

    Google Scholar 

  2. Julia, C.: Memoire sur l'iteration des fonctions rationelles. J. Math. Pures Appl.4, 47–245 (1918)

    Google Scholar 

  3. Li, T., Yorke, J.: Period three implies chaos. Am. Math. Monthly82, 985–992 (1975)

    Google Scholar 

  4. May, R., Oster, G.: Bifurcations and dynamic complexity in simple ecological models. Am. Naturalist110, 573–599 (1976)

    Google Scholar 

  5. Metropolis, N., Stein, M. L., Stein, P. R.: On finite limit sets for transformations on the unit interval. J. Combinational Theory (A)15, 25–44 (1973)

    Google Scholar 

  6. Sharkovsky, A. N.: Ukranian Math. J.16, (1), 61–71 (1964)

    Google Scholar 

  7. Sotomayor, J.: Generic one parameter families of vector fields on two dimensional manifolds. Publ. I.H.E.S.43, 5–46 (1974)

    Google Scholar 

  8. Stein, P., Ulam, S.: Nonlinear transformation studies on electronic computers. Rozprawy Metamatyczne39, 401–484 (1964)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 95064, Santa Cruz, CA, USA

    John Guckenheimer

Authors
  1. John Guckenheimer
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research partially supported by National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guckenheimer, J. On the bifurcation of maps of the interval. Invent Math 39, 165–178 (1977). https://doi.org/10.1007/BF01390107

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01390107

Search

Navigation