IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v325y2003i1p192-198.html
   My bibliography  Save this article

Characterization of the anticipated synchronization regime in the coupled FitzHugh–Nagumo model for neurons

Author

Listed:
  • Toral, Raúl
  • Masoller, C
  • Mirasso, Claudio R
  • Ciszak, M
  • Calvo, O

Abstract

We characterize numerically the regime of anticipated synchronization in the coupled FitzHugh–Nagumo model for neurons. We consider two neurons, coupled unidirectionally (in a master–slave configuration), subject to the same random external forcing and with a recurrent inhibitory delayed connection in the slave neuron. We show that the scheme leads to anticipated synchronization, a regime in which the slave neuron fires the same train of pulses as the master neuron, but earlier in time. We characterize the synchronization in the parameter space (coupling strength, anticipation time) and introduce several quantities to measure the degree of synchronization.

Suggested Citation

  • Toral, Raúl & Masoller, C & Mirasso, Claudio R & Ciszak, M & Calvo, O, 2003. "Characterization of the anticipated synchronization regime in the coupled FitzHugh–Nagumo model for neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 192-198.
    • Handle: RePEc:eee:phsmap:v:325:y:2003:i:1:p:192-198
    DOI: 10.1016/S0378-4371(03)00198-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437103001985
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(03)00198-5?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. Iran R Roman & Auriel Washburn & Edward W Large & Chris Chafe & Takako Fujioka, 2019. "Delayed feedback embedded in perception-action coordination cycles results in anticipation behavior during synchronized rhythmic action: A dynamical systems approach," PLOS Computational Biology, Public Library of Science, vol. 15(10), pages 1-32, October.
    2. Stephen, Damian G. & Dixon, James A., 2011. "Strong anticipation: Multifractal cascade dynamics modulate scaling in synchronization behaviors," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 160-168.
    3. Auriel Washburn & Rachel W Kallen & Maurice Lamb & Nigel Stepp & Kevin Shockley & Michael J Richardson, 2019. "Feedback delays can enhance anticipatory synchronization in human-machine interaction," PLOS ONE, Public Library of Science, vol. 14(8), pages 1-17, August.
    4. Wang, Qingyun & Duan, Zhisheng & Feng, Zhaosheng & Chen, Guanrong & Lu, Qishao, 2008. "Synchronization transition in gap-junction-coupled leech neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4404-4410.

    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:phsmap:v:325:y:2003:i:1:p:192-198. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.