Global Hopf bifurcation analysis for a time-delayed model of asset prices
type: Item
instance of: scholarly article
title: Global Hopf bifurcation analysis for a time-delayed model of asset prices
zbMATH Open document ID: 1187.37132
DOI: 10.1155/2010/432821
author: Ying Qu
author: Junjie Wei
published in: Discrete Dynamics in Nature and Society
publication date: 2010-04-26T00:00:00Z
full work available at URL: https://eudml.org/doc/224130
review text: Summary: 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.
Mathematics Subject Classification ID: 37N40
Mathematics Subject Classification ID: 91B24
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 5701485
Wikidata QID: Q58650813
describes a project that uses: DDE-BIFTOOL
MaRDI profile type: Publication
OpenAlex ID: W2039199654
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description: scientific article; zbMATH DE number 5701485