Feedback Control of a Chaotic Finance System with Two Delays
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/4937569 |
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| _version_ | 1849410471587741696 |
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| author | Zhichao Jiang Tongqian Zhang |
| author_facet | Zhichao Jiang Tongqian Zhang |
| author_sort | Zhichao Jiang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7b8d6c187faf462ea36be73128f51bb8 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-7b8d6c187faf462ea36be73128f51bb82025-08-20T03:35:06ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/49375694937569Feedback Control of a Chaotic Finance System with Two DelaysZhichao Jiang0Tongqian Zhang1School of Liberal Arts and Sciences, North China Institute of Aerospace Engineering, Langfang 065000, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaIn 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.http://dx.doi.org/10.1155/2020/4937569 |
| spellingShingle | Zhichao Jiang Tongqian Zhang Feedback Control of a Chaotic Finance System with Two Delays Complexity |
| title | Feedback Control of a Chaotic Finance System with Two Delays |
| title_full | Feedback Control of a Chaotic Finance System with Two Delays |
| title_fullStr | Feedback Control of a Chaotic Finance System with Two Delays |
| title_full_unstemmed | Feedback Control of a Chaotic Finance System with Two Delays |
| title_short | Feedback Control of a Chaotic Finance System with Two Delays |
| title_sort | feedback control of a chaotic finance system with two delays |
| url | http://dx.doi.org/10.1155/2020/4937569 |
| work_keys_str_mv | AT zhichaojiang feedbackcontrolofachaoticfinancesystemwithtwodelays AT tongqianzhang feedbackcontrolofachaoticfinancesystemwithtwodelays |