Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode”
In this paper, the dynamical behaviors and chaos control of a fractional-order financial system are discussed. The lowest fractional order found from which the system generates chaos is 2.49 for the commensurate order case and 2.57 for the incommensurate order case. Also, the period-doubling route t...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/9789470 |
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| author | Paul Yaovi Dousseh Cyrille Ainamon Clément Hodévèwan Miwadinou Adjimon Vincent Monwanou Jean Bio Chabi Orou |
| author_facet | Paul Yaovi Dousseh Cyrille Ainamon Clément Hodévèwan Miwadinou Adjimon Vincent Monwanou Jean Bio Chabi Orou |
| author_sort | Paul Yaovi Dousseh |
| collection | DOAJ |
| description | In this paper, the dynamical behaviors and chaos control of a fractional-order financial system are discussed. The lowest fractional order found from which the system generates chaos is 2.49 for the commensurate order case and 2.57 for the incommensurate order case. Also, the period-doubling route to chaos was found in this system. The results of this study were validated by the existence of a positive Lyapunov exponent. Besides, in order to control chaos in this fractional-order financial system with uncertain dynamics, a sliding mode controller is derived. The proposed controller stabilizes the commensurate and incommensurate fractional-order systems. Numerical simulations are carried out to verify the analytical results. |
| format | Article |
| id | doaj-art-e2b09521e298456e9f8b5d1a4aabfb6d |
| institution | OA Journals |
| issn | 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-e2b09521e298456e9f8b5d1a4aabfb6d2025-08-20T02:21:14ZengWileyComplexity1099-05262021-01-01202110.1155/2021/9789470Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode”Paul Yaovi Dousseh0Cyrille Ainamon1Clément Hodévèwan Miwadinou2Adjimon Vincent Monwanou3Jean Bio Chabi Orou4Laboratoire de Mécaniques des fluides,de la Dynamique Non-linéaire et de la Modélisation des Systèmes Biologiques (LMFDNMSB)Laboratoire de Mécaniques des fluides,de la Dynamique Non-linéaire et de la Modélisation des Systèmes Biologiques (LMFDNMSB)Laboratoire de Mécaniques des fluides,de la Dynamique Non-linéaire et de la Modélisation des Systèmes Biologiques (LMFDNMSB)Laboratoire de Mécaniques des fluides,de la Dynamique Non-linéaire et de la Modélisation des Systèmes Biologiques (LMFDNMSB)Laboratoire de Mécaniques des fluides,de la Dynamique Non-linéaire et de la Modélisation des Systèmes Biologiques (LMFDNMSB)In this paper, the dynamical behaviors and chaos control of a fractional-order financial system are discussed. The lowest fractional order found from which the system generates chaos is 2.49 for the commensurate order case and 2.57 for the incommensurate order case. Also, the period-doubling route to chaos was found in this system. The results of this study were validated by the existence of a positive Lyapunov exponent. Besides, in order to control chaos in this fractional-order financial system with uncertain dynamics, a sliding mode controller is derived. The proposed controller stabilizes the commensurate and incommensurate fractional-order systems. Numerical simulations are carried out to verify the analytical results.http://dx.doi.org/10.1155/2021/9789470 |
| spellingShingle | Paul Yaovi Dousseh Cyrille Ainamon Clément Hodévèwan Miwadinou Adjimon Vincent Monwanou Jean Bio Chabi Orou Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode” Complexity |
| title | Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode” |
| title_full | Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode” |
| title_fullStr | Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode” |
| title_full_unstemmed | Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode” |
| title_short | Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode” |
| title_sort | corrigendum to chaos in a financial system with fractional order and its control via sliding mode |
| url | http://dx.doi.org/10.1155/2021/9789470 |
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