IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v29y2006i1p182-189.html
   My bibliography  Save this article

Synchronizing two coupled chaotic neurons in external electrical stimulation using backstepping control

Author

Listed:
  • Bin, Deng
  • Jiang, Wang
  • Xiangyang, Fei

Abstract

Backstepping design is a recursive procedure that combines the choice of a Lyapunov function with the design of a controller. In this paper, the backstepping control is used to synchronize two coupled chaotic neurons in external electrical stimulation. The coupled model is based on the nonlinear cable model and only one state variable can be controlled in practice. The backstepping design needs only one controller to synchronize two chaotic systems and it can be applied to a variety of chaotic systems whether they contain external excitation or not, so the two coupled chaotic neurons in external electrical stimulation can be synchronized perfectly by backstepping control. Numerical simulations demonstrate the effectiveness of this design.

Suggested Citation

  • Bin, Deng & Jiang, Wang & Xiangyang, Fei, 2006. "Synchronizing two coupled chaotic neurons in external electrical stimulation using backstepping control," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 182-189.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:1:p:182-189
    DOI: 10.1016/j.chaos.2005.08.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905006454
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2005.08.027?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. Polynikis, A. & di Bernardo, M. & Hogan, S.J., 2009. "Synchronizability of coupled PWL maps," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1353-1367.
    2. Vázquez-Guerrero, P. & Gómez-Aguilar, J.F. & Santamaria, F. & Escobar-Jiménez, R.F., 2019. "Synchronization patterns with strong memory adaptive control in networks of coupled neurons with chimera states dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 167-175.
    3. Stan, Cristina & Cristescu, C.P. & Agop, M., 2007. "Golden mean relevance for chaos inhibition in a system of two coupled modified van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 1035-1040.
    4. Usha, K. & Subha, P. A. & Nayak, Chitra R., 2018. "The route to synchrony via drum head mode and mixed oscillatory state in star coupled Hindmarsh–Rose neural network," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 25-31.

    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:29:y:2006:i:1:p:182-189. 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.