Global Hopf Bifurcation Analysis for a Time-Delayed Model of Asset Prices
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-30
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
A time-delayed model of speculative asset markets is investigated to discuss the effect of time delay and market fraction of the fundamentalists on the dynamics of asset prices.
It proves that a sequence of Hopf bifurcations occurs at the positive equilibrium v, the fundamental price of the asset, as the parameters vary.
The direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are determined using normal form method and center manifold theory.
Global existence of periodic solutions is established combining a global Hopf bifurcation theorem with a Bendixson's criterion for higher-dimensional ordinary differential equations.
American Psychological Association (APA)
Qu, Ying& Wei, Junjie. 2010. Global Hopf Bifurcation Analysis for a Time-Delayed Model of Asset Prices. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-471893
Modern Language Association (MLA)
Qu, Ying& Wei, Junjie. Global Hopf Bifurcation Analysis for a Time-Delayed Model of Asset Prices. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-471893
American Medical Association (AMA)
Qu, Ying& Wei, Junjie. Global Hopf Bifurcation Analysis for a Time-Delayed Model of Asset Prices. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-471893
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471893