Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • News & Views
  • Published:

Mathematical modelling: The cubic map in theory and practice

Nature volume 311, pages 13–14 (1984)Cite this article

Access through your institution
Buy or subscribe

This is a preview of subscription content, access via your institution

Access options

Access through your institution

Buy this article

  • Purchase on SpringerLink
  • Instant access to full article PDF
Buy now

Prices may be subject to local taxes which are calculated during checkout

References

  1. May, R.M. Nature 261, 459 (1976).

    Article  ADS  CAS  Google Scholar 

  2. Collet, P. & Eckmann, J.P. in Iterated Maps on the Interval as Dynamical Systems (Birkhauser, Boston, 1980).

    MATH  Google Scholar 

  3. Feigenbaum, M. J. Stat. Phys. 19, 25 (1978).

    Article  ADS  Google Scholar 

  4. Li, T.Y. & Yorke, J.M. Am. Math. Month. 82, 985 (1975).

    Article  Google Scholar 

  5. May, R.M. & Oster, G.F. Am. Nat. 110, 573 (1976).

    Article  Google Scholar 

  6. Guckenheimer, J. et al. J. math. Biol. 4, 101 (1976).

    Article  Google Scholar 

  7. May, R.M. Ann. N. Y. Acad. Sci. 316, 517 (1979).

    Article  ADS  Google Scholar 

  8. Testa, J. & Held, G.A. Bull. Am. phys. Soc. 28, 383 (1983).

    Google Scholar 

  9. Chavoya-Aceves, O., Angulo-Brown, F. & Pina, E. Preprint (Departmento de Fisica, Univ. Metropolitana Iztapalapa, Mexico, 1984).

  10. Holmes, P. Phil. Trans. R. Soc. A292, 419 (1979).

    Article  ADS  Google Scholar 

  11. Perez, J., Jeffries, C. & Testa, J. Bull. Am. phys. Soc. 28, 383 (1983).

    Google Scholar 

  12. Pikovsky, A.S. J. Phys. A16, 109 (1983).

    ADS  MathSciNet  Google Scholar 

  13. Coste, J. & Peyraud, N. 84A, 17 (1981).

  14. Coste, J. & Peyraud, N. Physica 5D, 415 (1982).

    MathSciNet  Google Scholar 

  15. Hamilton, W.D. Oikos 35, 282 (1980).

    Article  Google Scholar 

  16. May, R.M. & Anderson, R.M. Proc. R. Soc. B219, 281 (1983).

    ADS  CAS  Google Scholar 

  17. Hamilton, W.D. & Zuk, M. Science 218, 384 (1982).

    Article  ADS  CAS  Google Scholar 

  18. Harvey, P.H. & Partridge, L. Nature 300, 480 (1982).

    Article  ADS  Google Scholar 

  19. Levin, B.R. et al. in Population Biology of Infectious Diseases (eds Anderson, R.M. & May, R.M.) 213 (Springer, New York, 1982).

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Class of 1877 Professor of Zoology at Princeton University, New Jersey, 08544

    Robert M. May

Authors
  1. Robert M. May
    View author publications

    Search author on:PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

May, R. Mathematical modelling: The cubic map in theory and practice. Nature 311, 13–14 (1984). https://doi.org/10.1038/311013a0

Download citation

  • Issue date:

  • DOI: https://doi.org/10.1038/311013a0

This article is cited by

Search

Advanced search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing