IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/151025.html
   My bibliography  Save this article

Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller

Author

Listed:
  • Yan-Ping Wu
  • Guo-Dong Wang

Abstract

The synchronization between fractional-order hyperchaotic systems and integer-order hyperchaotic systems via sliding mode controller is investigated. By designing an active sliding mode controller and choosing proper control parameters, the drive and response systems are synchronized. Synchronization between the fractional-order Chen chaotic system and the integer-order Chen chaotic system and between integer-order hyperchaotic Chen system and fractional-order hyperchaotic Rössler system is used to illustrate the effectiveness of the proposed synchronization approach. Numerical simulations coincide with the theoretical analysis.

Suggested Citation

  • Yan-Ping Wu & Guo-Dong Wang, 2013. "Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, March.
    • Handle: RePEc:hin:jnljam:151025
    DOI: 10.1155/2013/151025
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2013/151025.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2013/151025.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/151025?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. Rongwei Guo & Yaru Zhang & Cuimei Jiang, 2021. "Synchronization of Fractional-Order Chaotic Systems with Model Uncertainty and External Disturbance," Mathematics, MDPI, vol. 9(8), pages 1-12, April.
    2. Pakhare, Sumit S. & Bhalekar, Sachin & Gade, Prashant M., 2022. "Synchronization in coupled integer and fractional-order maps," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    3. Adel Ouannas & Xiong Wang & Viet-Thanh Pham & Toufik Ziar, 2017. "Dynamic Analysis of Complex Synchronization Schemes between Integer Order and Fractional Order Chaotic Systems with Different Dimensions," Complexity, Hindawi, vol. 2017, pages 1-12, June.
    4. Deepika, Deepika & Kaur, Sandeep & Narayan, Shiv, 2018. "Uncertainty and disturbance estimator based robust synchronization for a class of uncertain fractional chaotic system via fractional order sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 115(C), pages 196-203.

    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:jnljam:151025. 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.