IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/701756.html
   My bibliography  Save this article

A New 4D Hyperchaotic System and Its Generalized Function Projective Synchronization

Author

Listed:
  • Yuan Gao
  • Chenghua Liang

Abstract

A new four-dimensional hyperchaotic system is investigated. Numerical and analytical studies are carried out on its basic dynamical properties, such as equilibrium point, Lyapunov exponents, Poincaré maps, and chaotic dynamical behaviors. We verify the realizability of the new system via an electronic circuit by using Multisim software. Furthermore, a generalized function projective synchronization scheme of two different hyperchaotic systems with uncertain parameters is proposed, which includes some existing projective synchronization schemes, such as generalized projection synchronization and function projective synchronization. Based on the Lyapunov stability theory, a controller with parameters update laws is designed to realize synchronization. Using this controller, we realize the synchronization between Chen hyperchaotic system and the new system to verify the validity and feasibility of our method.

Suggested Citation

  • Yuan Gao & Chenghua Liang, 2013. "A New 4D Hyperchaotic System and Its Generalized Function Projective Synchronization," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-13, December.
    • Handle: RePEc:hin:jnlmpe:701756
    DOI: 10.1155/2013/701756
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/701756.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/701756.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/701756?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:jnlmpe:701756. 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.