IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v32y2007i2p516-520.html
   My bibliography  Save this article

Anti-synchronization in different chaotic systems

Author

Listed:
  • Li, Guo-Hui
  • Zhou, Shi-Ping

Abstract

Based on the active control theory, anti-synchronization between two different chaotic systems is investigated. Through rigorous mathematical theory, the sufficient condition is drawn for the stability of the error dynamics, where the controllers are designed by using the sum of the relevant variables in chaotic systems. Numerical simulations are performed for the Lorenz–Lü system and Lorenz–Chen system to demonstrate the effectiveness of the proposed control strategy.

Suggested Citation

  • Li, Guo-Hui & Zhou, Shi-Ping, 2007. "Anti-synchronization in different chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 516-520.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:2:p:516-520
    DOI: 10.1016/j.chaos.2006.05.076
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906005467
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.05.076?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Cai, Na & Jing, Yuanwei & Zhang, Siying, 2009. "Generalized projective synchronization of different chaotic systems based on antisymmetric structure," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1190-1196.
    2. Li, Wenlin & Chen, Xiuqin & Zhiping, Shen, 2008. "Anti-synchronization of two different chaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3747-3750.
    3. Mossa Al-sawalha, M. & Noorani, M.S.M., 2009. "On anti-synchronization of chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 170-179.
    4. Duan, Zhisheng & Wang, Jinzhi & Yang, Ying & Huang, Lin, 2009. "Frequency-domain and time-domain methods for feedback nonlinear systems and applications to chaos control," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 848-861.
    5. Singh, Piyush Pratap & Singh, Jay Prakash & Roy, B.K., 2014. "Synchronization and anti-synchronization of Lu and Bhalekar–Gejji chaotic systems using nonlinear active control," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 31-39.
    6. El-Dessoky, M.M., 2009. "Synchronization and anti-synchronization of a hyperchaotic Chen system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1790-1797.

    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:eee:chsofr:v:32:y:2007:i:2:p:516-520. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.