Advanced Search
MyIDEAS: Login to save this paper or follow this series

Hopf bifurcation and chaos analysis of a discrete-delay dynamic model for a stock market

Contents:

Author Info

  • Loretti I. Dobrescu

    ()
    (Universita' di Padova)

  • Dumitru Opris

    ()
    (West University of Timisoara)

Abstract

The time evolution of prices and saving in a stock market is modelled by a discrete-delay nonlinear dynamical system. The proposed model has a unique and unstable steady-state, so that the time evolution is determined by the nonlinear e¤ects acting out the equilibrium. The analysis of linear approximation through the study of the eigenvalues of the Jacobian matrix is carried out in order to characterize the local stability property and the local bifurcations in the parameter space. If the delay is equal to zero, Lyapunov exponents are calculated. For certain values of the model parameters we prove that the system has a chaotic behaviour. Some numerical examples are finally given for justifying the theoretical results.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://economia.unipd.it/sites/decon.unipd.it/files/20080082.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Dipartimento di Scienze Economiche "Marco Fanno" in its series "Marco Fanno" Working Papers with number 0082.

as in new window
Length: 9 pages
Date of creation: Jul 2008
Date of revision:
Handle: RePEc:pad:wpaper:0082

Contact details of provider:
Postal: via del Santo, 33 - 35122 Padova
Phone: +39 +49 8274210
Fax: +39 +49 827.4211
Web page: http://www.decon.unipd.it/
More information through EDIRC

Related research

Keywords: dynamic models; bifurcation; Lyapunov exponents; stock market;

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Gian-Italo Bischi & Vincenzo Valori, 2000. "Nonlinear effects in a discrete-time dynamic model of a stock market," Working Papers - Mathematical Economics 2000-01, Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa.
  2. Dobrescu, Loretti Isabella & Opris, Dumitru, 2007. "Neimark-Sacker bifurcation for the discrete-delay Kaldor model," MPRA Paper 5415, University Library of Munich, Germany.
Full references (including those not matched with items on IDEAS)

Citations

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:pad:wpaper:0082. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Fabio Maria Manenti).

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.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with 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 profile, as there may be some citations waiting for confirmation.

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