IDEAS home Printed from https://ideas.repec.org/a/hin/complx/1612752.html
   My bibliography  Save this article

Finite Time Synchronization for Fractional Order Sprott C Systems with Hidden Attractors

Author

Listed:
  • Cui Yan
  • He Hongjun
  • Lu Chenhui
  • Sun Guan

Abstract

Fractional order systems have a wider range of applications. Hidden attractors are a peculiar phenomenon in nonlinear systems. In this paper, we construct a fractional-order chaotic system with hidden attractors based on the Sprott C system. According to the Adomain decomposition method, we numerically simulate from several algorithms and study the dynamic characteristics of the system through bifurcation diagram, phase diagram, spectral entropy, and C 0 complexity. The results of spectral entropy and C 0 complexity simulations show that the system is highly complex. In order to apply such research results to engineering practice, for such fractional-order chaotic systems with hidden attractors, we design a controller to synchronize according to the finite-time stability theory. The simulation results show that the synchronization time is short and the robustness is stable. This paper lays the foundation for the study of fractional order systems with hidden attractors.

Suggested Citation

  • Cui Yan & He Hongjun & Lu Chenhui & Sun Guan, 2019. "Finite Time Synchronization for Fractional Order Sprott C Systems with Hidden Attractors," Complexity, Hindawi, vol. 2019, pages 1-9, February.
    • Handle: RePEc:hin:complx:1612752
    DOI: 10.1155/2019/1612752
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2019/1612752.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2019/1612752.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2019/1612752?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
    ---><---

    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:1612752. 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.