IDEAS home Printed from https://ideas.repec.org/a/hin/complx/5534872.html
   My bibliography  Save this article

Study of a Fractional-Order Chaotic System Represented by the Caputo Operator

Author

Listed:
  • Ndolane Sene
  • Guillermo Huerta Cuellar

Abstract

This paper is presented on the theory and applications of the fractional-order chaotic system described by the Caputo fractional derivative. Considering the new fractional model, it is important to establish the presence or absence of chaotic behaviors. The Lyapunov exponents in the fractional context will be our fundamental tool to arrive at our conclusions. The variations of the model’s parameters will generate chaotic behavior, in general, which will be established using the Lyapunov exponents and bifurcation diagrams. For the system’s phase portrait, we will present and apply an interesting fractional numerical discretization. For confirmation of the results provided in this paper, the circuit schematic is drawn and simulated. As it will be observed, the results obtained after the simulation of the numerical scheme and with the Multisim are in good agreement.

Suggested Citation

  • Ndolane Sene & Guillermo Huerta Cuellar, 2021. "Study of a Fractional-Order Chaotic System Represented by the Caputo Operator," Complexity, Hindawi, vol. 2021, pages 1-20, June.
    • Handle: RePEc:hin:complx:5534872
    DOI: 10.1155/2021/5534872
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/complexity/2021/5534872.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/complexity/2021/5534872.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2021/5534872?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Echenausía-Monroy, J.L. & Gilardi-Velázquez, H.E. & Wang, Ning & Jaimes-Reátegui, R. & García-López, J.H. & Huerta-Cuellar, G., 2022. "Multistability route in a PWL multi-scroll system through fractional-order derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Guirao, Juan Luis García & Alsulami, Mansoor & Baskonus, Haci Mehmet & Ilhan, Esin & Veeresha, P., 2023. "Analysis of nonlinear compartmental model using a reliable method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 133-151.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:complx:5534872. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.