PDϑ Control Strategy for a Fractional-Order Chaotic Financial Model
In this article, based on the previous works, a new fractional-order financial model is put up. The chaotic behavior of the fractional-order financial model is suppressed by designing an appropriate PDϑ controller. By choosing the delay as the bifurcation parameter, we establish the sufficient condi...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/2989204 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841524458365386752 |
|---|---|
| author | Changjin Xu Maoxin Liao Peiluan Li Qimei Xiao Shuai Yuan |
| author_facet | Changjin Xu Maoxin Liao Peiluan Li Qimei Xiao Shuai Yuan |
| author_sort | Changjin Xu |
| collection | DOAJ |
| description | In this article, based on the previous works, a new fractional-order financial model is put up. The chaotic behavior of the fractional-order financial model is suppressed by designing an appropriate PDϑ controller. By choosing the delay as the bifurcation parameter, we establish the sufficient condition to guarantee the stability and the existence of Hopf bifurcation of fractional-order financial model. Also, the influence of the delay and the fractional order on the stability and the existence of Hopf bifurcation of fractional-order financial model is revealed. An example is given to confirm the effectiveness of the analysis results. The main findings of this article play an important role in maintaining economic stability. |
| format | Article |
| id | doaj-art-5d7bed982368471ab8e8070787c6e8d6 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5d7bed982368471ab8e8070787c6e8d62025-02-03T05:53:05ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/29892042989204PDϑ Control Strategy for a Fractional-Order Chaotic Financial ModelChangjin Xu0Maoxin Liao1Peiluan Li2Qimei Xiao3Shuai Yuan4Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, ChinaSchool of Mathematics and Physics, University of South China, Hengyang 421001, ChinaSchool of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, ChinaHunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha 410114, ChinaSchool of Mathematics and Statistics, Central South University, Changsha 410083, ChinaIn this article, based on the previous works, a new fractional-order financial model is put up. The chaotic behavior of the fractional-order financial model is suppressed by designing an appropriate PDϑ controller. By choosing the delay as the bifurcation parameter, we establish the sufficient condition to guarantee the stability and the existence of Hopf bifurcation of fractional-order financial model. Also, the influence of the delay and the fractional order on the stability and the existence of Hopf bifurcation of fractional-order financial model is revealed. An example is given to confirm the effectiveness of the analysis results. The main findings of this article play an important role in maintaining economic stability.http://dx.doi.org/10.1155/2019/2989204 |
| spellingShingle | Changjin Xu Maoxin Liao Peiluan Li Qimei Xiao Shuai Yuan PDϑ Control Strategy for a Fractional-Order Chaotic Financial Model Complexity |
| title | PDϑ Control Strategy for a Fractional-Order Chaotic Financial Model |
| title_full | PDϑ Control Strategy for a Fractional-Order Chaotic Financial Model |
| title_fullStr | PDϑ Control Strategy for a Fractional-Order Chaotic Financial Model |
| title_full_unstemmed | PDϑ Control Strategy for a Fractional-Order Chaotic Financial Model |
| title_short | PDϑ Control Strategy for a Fractional-Order Chaotic Financial Model |
| title_sort | pdϑ control strategy for a fractional order chaotic financial model |
| url | http://dx.doi.org/10.1155/2019/2989204 |
| work_keys_str_mv | AT changjinxu pdthcontrolstrategyforafractionalorderchaoticfinancialmodel AT maoxinliao pdthcontrolstrategyforafractionalorderchaoticfinancialmodel AT peiluanli pdthcontrolstrategyforafractionalorderchaoticfinancialmodel AT qimeixiao pdthcontrolstrategyforafractionalorderchaoticfinancialmodel AT shuaiyuan pdthcontrolstrategyforafractionalorderchaoticfinancialmodel |