Skip to main content
SpringerLink
Log in

Bifurcations in one dimension

II. A versal model for bifurcations

  • 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. Fatou, M.P.: Sur les équations fonctionelles. Bull. Soc. Math. de France.47, 161–271 (1919).48, 33–94 and 208–314 (1920)

    Google Scholar 

  2. Golubitski, M., Guillemin, V.: Stable Mappings and their Singularities. Grad. Texts. in Mathematics No. 14, Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  3. Guckenheimer, J.: On the Bifurcation of Maps of the Interval. Inventiones math.39, 165–178 (1977)

    Google Scholar 

  4. Guckenheimer, J.: Bifurcations of Quadratic Functions. Preprint 1977

  5. Jonker, L.: Periodic Orbits and Kneading Invariants. Proc. London Math. Soc.39, 428–450 (1979)

    Google Scholar 

  6. Jonker, L., Rand, D.A.: A Lower Bound for the Entropy of Certain Maps of the Unit Interval. Warwick Preprint, 1978 (to appear in J. London Math. Soc.)

  7. Jonker, L., Rand, D.A.: Bifurcations in One Dimension. 1: The Nonwandering Set”. Inventiones math.

  8. Milnor, J.: The Theory of Kneading, and A Piecewise Linear Model for Kneading. Handwritten Notes 1976 (cf. [9])

  9. Milnor, J., Thurston, W.: On Iterated Maps of the Interval. I and II. Preprint. Princeton University and the Institute for Advanced Study, Princeton 1977

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Queen's University, Kingston, Ontario, Canada

    Leo Jonker

  2. Mathematics Institute, University of Warwick, Conventry, England

    David Rand

Authors
  1. Leo Jonker
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. David Rand
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jonker, L., Rand, D. Bifurcations in one dimension. Invent Math 63, 1–15 (1981). https://doi.org/10.1007/BF01389190

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01389190

Search

Navigation