IDEAS home Printed from https://ideas.repec.org/p/urb/wpaper/08_05.html
   My bibliography  Save this paper

Bifurcation Curves in Discontinuous Maps

Author

Listed:
  • Fabio Tramontana

    (Università Politecnica delle Marche & Dipartimento di Economia e Metodi Quantitativi, Università di Urbino)

  • Laura Gardini

    (Dipartimento di Economia e Metodi Quantitativi, Università di Urbino (Italy))

  • Gian Italo Bischi

    (Dipartimento di Economia e Metodi Quantitativi, Università di Urbino (Italy))

Abstract

Several discrete-time dynamic models are ultimately expressed in the form of iterated piecewise linear functions, in one or two-dimensional spaces. In this paper we study a one-dimensional map made up of three linear pieces which are separated by two discontinuity points, motivated by a dynamic model arising in social sciences. Starting from the bifurcation structure associated with one-dimensional maps with only one discontinuity point, we show how this is modi ed by the introduction of a second discontinuity point, and we give the analytic expressions of the bifurcation curves of the principal tongues (or tongues of first degree), for the family of maps considered, that depends on five parameters.

Suggested Citation

  • Fabio Tramontana & Laura Gardini & Gian Italo Bischi, 2008. "Bifurcation Curves in Discontinuous Maps," Working Papers 0805, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2008.
    • Handle: RePEc:urb:wpaper:08_05
    as

    Download full text from publisher

    File URL: http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_08_05.pdf
    File Function: First version, 2008
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    iterated piecewise linear functions; discrete-time dynamic models; bifurcation curves.;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:urb:wpaper:08_05. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Carmela Nicoletti (email available below). General contact details of provider: https://edirc.repec.org/data/feurbit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.