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Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Modeâ€

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  • Paul Yaovi Dousseh
  • Cyrille Ainamon
  • Clément Hodévèwan Miwadinou
  • Adjimon Vincent Monwanou
  • Jean Bio Chabi Orou

Abstract

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.

Suggested Citation

  • Paul Yaovi Dousseh & Cyrille Ainamon & Clément Hodévèwan Miwadinou & Adjimon Vincent Monwanou & Jean Bio Chabi Orou, 2021. "Corrigendum to “Chaos in a Financial System with Fractional Order and Its Control via Sliding Modeâ€," Complexity, Hindawi, vol. 2021, pages 1-16, November.
    • Handle: RePEc:hin:complx:9789470
    DOI: 10.1155/2021/9789470
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    Cited by:

    1. Bazán Navarro, Ciro Eduardo & Benazic Tomé, Renato Mario, 2024. "Qualitative behavior in a fractional order IS-LM-AS macroeconomic model with stability analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 425-443.
    2. Miwadinou, C.H. & Olabodé, D.L. & Monwanou, A.V. & Enjieu Kadji, H.G. & Chabi Orou, J.B., 2023. "Nonlinear dynamics and passive control of GLYCOLYTIC oscillations," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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