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Feedback Control of a Chaotic Finance System with Two Delays
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-26
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
In this research, we use the double-delayed feedback control (DDFC) method in order to control chaos in a finance system.
Taking delays as parameters, the dynamic behavior of the system is investigated.
Firstly, we study the local stability of equilibrium and the existence of local Hopf bifurcations.
It can find that the delays can make chaos disappear and generate a stable equilibrium or periodic solution, which means the effectiveness of DDFC method.
By using the normal form theory and center manifold argument, one derives the explicit algorithm for determining the properties of bifurcation.
In addition, we also apply some mathematical methods (stability crossing curves) to show the stability changes of the financial system in two parameters’ τ1,τ2 plane.
Finally, we give some numerical simulations by Matlab Microsoft to show the validity of theoretical analyses.
American Psychological Association (APA)
Jiang, Zhichao& Zhang, Tongqian. 2020. Feedback Control of a Chaotic Finance System with Two Delays. Complexity،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1142152
Modern Language Association (MLA)
Jiang, Zhichao& Zhang, Tongqian. Feedback Control of a Chaotic Finance System with Two Delays. Complexity No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1142152
American Medical Association (AMA)
Jiang, Zhichao& Zhang, Tongqian. Feedback Control of a Chaotic Finance System with Two Delays. Complexity. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1142152
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142152