IDEAS home Printed from https://ideas.repec.org/a/taf/apeclt/v27y2020i13p1056-1060.html
   My bibliography  Save this article

Stability conditions for three-dimensional maps and their associated bifurcation types

Author

Listed:
  • Marji Lines
  • Noemi Schmitt
  • Frank Westerhoff

Abstract

We present analytical tools that may be useful in studying the behaviour of dynamic economic models formulated in discrete time. In particular, we provide a simplified set of conditions for the stability of fixed points of three-dimensional maps, and the bifurcation types associated with them.

Suggested Citation

  • Marji Lines & Noemi Schmitt & Frank Westerhoff, 2020. "Stability conditions for three-dimensional maps and their associated bifurcation types," Applied Economics Letters, Taylor & Francis Journals, vol. 27(13), pages 1056-1060, June.
    • Handle: RePEc:taf:apeclt:v:27:y:2020:i:13:p:1056-1060
    DOI: 10.1080/13504851.2019.1659923
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/13504851.2019.1659923
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/13504851.2019.1659923?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Martin, Carolin & Schmitt, Noemi & Westerhoff, Frank, 2021. "Heterogeneous expectations, housing bubbles and tax policy," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 555-573.
    2. Mignot, Sarah & Westerhoff, Frank H., 2023. "Explaining the stylized facts of foreign exchange markets with a simple agent-based version of Paul de Grauwe's chaotic exchange rate model," BERG Working Paper Series 189, Bamberg University, Bamberg Economic Research Group.
    3. Sarah Mignot & Frank Westerhoff, 2023. "Revisiting Paul de Grauwe’s Chaotic Exchange Rate Model: New Analytical Insights and Agent-Based Explorations," Open Economies Review, Springer, vol. 34(1), pages 155-169, February.
    4. Dieci, Roberto & Mignot, Sarah & Westerhoff, Frank, 2022. "Production delays, technology choice and cyclical cobweb dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    5. Sarah Mignot & Fabio Tramontana & Frank Westerhoff, 2021. "Speculative asset price dynamics and wealth taxes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(2), pages 641-667, December.
    6. Luís, Rafael & Mendonça, Sandra, 2024. "Local stability conditions for a n-dimensional periodic mapping," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 15-30.
    7. Noemi Schmitt & Frank Westerhoff, 2022. "Speculative housing markets and rent control: insights from nonlinear economic dynamics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 141-163, January.
    8. Dieci, Roberto & Mignot, Sarah & Schmitt, Noemi & Westerhoff, Frank H., 2022. "Production delays, supply distortions and endogenous price dynamics," BERG Working Paper Series 182, Bamberg University, Bamberg Economic Research Group.

    More about this item

    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:taf:apeclt:v:27:y:2020:i:13:p:1056-1060. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAEL20 .

    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.