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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Autores principales: Paul Yaovi Dousseh, Cyrille Ainamon, Clément Hodévèwan Miwadinou, Adjimon Vincent Monwanou, Jean Bio Chabi Orou
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Lenguaje:EN
Publicado: Hindawi-Wiley 2021
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Acceso en línea:https://doaj.org/article/e2b09521e298456e9f8b5d1a4aabfb6d
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spelling oai:doaj.org-article:e2b09521e298456e9f8b5d1a4aabfb6d2021-11-29T00:56:23ZCorrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Mode”1099-052610.1155/2021/9789470https://doaj.org/article/e2b09521e298456e9f8b5d1a4aabfb6d2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9789470https://doaj.org/toc/1099-0526In 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.Paul Yaovi DoussehCyrille AinamonClément Hodévèwan MiwadinouAdjimon Vincent MonwanouJean Bio Chabi OrouHindawi-WileyarticleElectronic computers. Computer scienceQA75.5-76.95ENComplexity, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Electronic computers. Computer science
QA75.5-76.95
spellingShingle Electronic computers. Computer science
QA75.5-76.95
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”
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
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
title 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_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_sort corrigendum to “chaos in a financial system with fractional order and its control via sliding mode”
publisher Hindawi-Wiley
publishDate 2021
url https://doaj.org/article/e2b09521e298456e9f8b5d1a4aabfb6d
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