IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/910189.html
   My bibliography  Save this article

A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points

Author

Listed:
  • Ping Zhou
  • Kun Huang
  • Chun-de Yang

Abstract

A new 4D fractional-order chaotic system, which has an infinite number of equilibrium points, is introduced. There is no-chaotic behavior for its corresponded integer-order system. We obtain that the largest Lyapunov exponent of this 4D fractional-order chaotic system is 0.8939 and yield the chaotic attractor. A chaotic synchronization scheme is presented for this 4D fractional-order chaotic system. Numerical simulations is verified the effectiveness of the proposed scheme.

Suggested Citation

  • Ping Zhou & Kun Huang & Chun-de Yang, 2013. "A Fractional-Order Chaotic System with an Infinite Number of Equilibrium Points," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-6, April.
  • Handle: RePEc:hin:jnddns:910189
    DOI: 10.1155/2013/910189
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2013/910189.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/DDNS/2013/910189.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2013/910189?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. Jafari, Sajad & Sprott, J.C., 2013. "Simple chaotic flows with a line equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 79-84.
    2. Mezatio, Brice Anicet & Motchongom, Marceline Tingue & Wafo Tekam, Blaise Raoul & Kengne, Romanic & Tchitnga, Robert & Fomethe, Anaclet, 2019. "A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 100-115.
    3. Pan, Indranil & Das, Saptarshi, 2015. "When Darwin meets Lorenz: Evolving new chaotic attractors through genetic programming," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 141-155.
    4. Ren, Lei & Lin, Ming-Hung & Abdulwahab, Abdulkareem & Ma, Jun & Saberi-Nik, Hassan, 2023. "Global dynamical analysis of the integer and fractional 4D hyperchaotic Rabinovich system," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

    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:jnddns:910189. 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.