Hopf Bifurcation and Chaos of a Delayed Finance System
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-08
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this paper, a finance system with delay is considered.
By analyzing the corresponding characteristic equations, the local stability of equilibrium is established.
The existence of Hopf bifurcations at the equilibrium is also discussed.
Furthermore, formulas for determining the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by applying the normal form method and center manifold theorem.
Finally, numerical simulation results are presented to validate the theoretical analysis.
Numerical simulation results show that delay can lead a stable system into a chaotic state.
American Psychological Association (APA)
Zhang, Xuebing& Zhu, Honglan. 2019. Hopf Bifurcation and Chaos of a Delayed Finance System. Complexity،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1132521
Modern Language Association (MLA)
Zhang, Xuebing& Zhu, Honglan. Hopf Bifurcation and Chaos of a Delayed Finance System. Complexity No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1132521
American Medical Association (AMA)
Zhang, Xuebing& Zhu, Honglan. Hopf Bifurcation and Chaos of a Delayed Finance System. Complexity. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1132521
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132521