Washout filter control technique for a fractional-order chaotic finance model
On the basis of the previous publications, we set up a new fractional-order chaotic finance model. Taking advantage of washout filter controller, we are committed to the study on the chaotic control for the considered fractional-order chaotic finance model. Applying the stability criterion and Hopf...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-05-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447921004226 |
| _version_ | 1811294150819053568 |
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| author | Changjin Xu |
| author_facet | Changjin Xu |
| author_sort | Changjin Xu |
| collection | DOAJ |
| description | On the basis of the previous publications, we set up a new fractional-order chaotic finance model. Taking advantage of washout filter controller, we are committed to the study on the chaotic control for the considered fractional-order chaotic finance model. Applying the stability criterion and Hopf bifurcation knowledge of fractional order differential dynamical system, a series of delay-independent stability and bifurcation conditions are established to assure the stability and the occurrence of Hopf bifurcation of the fractional-order controlled chaotic finance model. The investigation indicates that the role of delay in controlling the stability and Hopf bifurcation for the fractional-order controlled chaotic finance model is fully reflected. In the end, numerical simulation figures and bifurcation plots are presented to sustain the established primary conclusions. Our work supplements the earlier studies and enriches the chaos control theory of fractional-order dynamical system. |
| first_indexed | 2024-04-13T05:13:12Z |
| format | Article |
| id | doaj.art-afeb9b7467014f1183c458496666b383 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-04-13T05:13:12Z |
| publishDate | 2022-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-afeb9b7467014f1183c458496666b3832022-12-22T03:00:59ZengElsevierAin Shams Engineering Journal2090-44792022-05-01133101644Washout filter control technique for a fractional-order chaotic finance modelChangjin Xu0Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550025, PR China; Guizhou Key Laboratory of Big Data Statistical Analysis,Guiyang 550025, PR ChinaOn the basis of the previous publications, we set up a new fractional-order chaotic finance model. Taking advantage of washout filter controller, we are committed to the study on the chaotic control for the considered fractional-order chaotic finance model. Applying the stability criterion and Hopf bifurcation knowledge of fractional order differential dynamical system, a series of delay-independent stability and bifurcation conditions are established to assure the stability and the occurrence of Hopf bifurcation of the fractional-order controlled chaotic finance model. The investigation indicates that the role of delay in controlling the stability and Hopf bifurcation for the fractional-order controlled chaotic finance model is fully reflected. In the end, numerical simulation figures and bifurcation plots are presented to sustain the established primary conclusions. Our work supplements the earlier studies and enriches the chaos control theory of fractional-order dynamical system.http://www.sciencedirect.com/science/article/pii/S2090447921004226Fractional-order chaotic finance modelStabilityHopf bifurcationWashout filter controllerDelayBifurcation diagram |
| spellingShingle | Changjin Xu Washout filter control technique for a fractional-order chaotic finance model Ain Shams Engineering Journal Fractional-order chaotic finance model Stability Hopf bifurcation Washout filter controller Delay Bifurcation diagram |
| title | Washout filter control technique for a fractional-order chaotic finance model |
| title_full | Washout filter control technique for a fractional-order chaotic finance model |
| title_fullStr | Washout filter control technique for a fractional-order chaotic finance model |
| title_full_unstemmed | Washout filter control technique for a fractional-order chaotic finance model |
| title_short | Washout filter control technique for a fractional-order chaotic finance model |
| title_sort | washout filter control technique for a fractional order chaotic finance model |
| topic | Fractional-order chaotic finance model Stability Hopf bifurcation Washout filter controller Delay Bifurcation diagram |
| url | http://www.sciencedirect.com/science/article/pii/S2090447921004226 |
| work_keys_str_mv | AT changjinxu washoutfiltercontroltechniqueforafractionalorderchaoticfinancemodel |