IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v91y2018i12d10.1140_epjb_e2018-90478-8.html
   My bibliography  Save this article

Synchronization patterns in LIF neuron networks: merging nonlocal and diagonal connectivity

Author

Listed:
  • Nefeli-Dimitra Tsigkri-DeSmedt

    (Institute of Nanoscience and Nanotechnology, National Center for Scientific Research “Demokritos”
    Section of Solid State Physics, Department of Physics, National and Kapodistrian University of Athens)

  • Ioannis Koulierakis

    (Institute of Nanoscience and Nanotechnology, National Center for Scientific Research “Demokritos”
    School of Electrical and Computer Engineering, National Technical University of Athens)

  • Georgios Karakos

    (Institute of Nanoscience and Nanotechnology, National Center for Scientific Research “Demokritos”
    School of Electrical and Computer Engineering, National Technical University of Athens)

  • Astero Provata

    (Institute of Nanoscience and Nanotechnology, National Center for Scientific Research “Demokritos”)

Abstract

The effects of nonlocal and reflecting connectivities have been previously investigated in coupled Leaky Integrate-and-Fire (LIF) elements, which assimilate the exchange of electrical signals between neurons. In this work, we investigate the effect of diagonal coupling inspired by findings in brain neuron connectivity. Multi-chimera states are reported both for the simple diagonal and combined nonlocal–diagonal connectivities, and we determine the range of optimal parameter regions where chimera states appear. Overall, the measures of coherence indicate that as the coupling range increases (below all-to-all coupling) the emergence of chimera states is favored and the mean phase velocity deviations between coherent and incoherent regions become more prominent. A number of novel synchronization phenomena are induced as a result of the combined connectivity. We record that for coupling strengths σ 1. In the intermediate regime, σ ~ 1, the oscillators have common mean phase velocity (i.e., are frequency-locked) but different phases (i.e., they are phase-asynchronous). Solitary states are recorded for small values of the coupling strength, which grow into chimera states as the coupling strength increases. We determine parameter values where the combined effects of nonlocal and diagonal coupling generate chimera states with two different levels of synchronous domains mediated by asynchronous regions. Graphical abstract

Suggested Citation

  • Nefeli-Dimitra Tsigkri-DeSmedt & Ioannis Koulierakis & Georgios Karakos & Astero Provata, 2018. "Synchronization patterns in LIF neuron networks: merging nonlocal and diagonal connectivity," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(12), pages 1-13, December.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:12:d:10.1140_epjb_e2018-90478-8
    DOI: 10.1140/epjb/e2018-90478-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/e2018-90478-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1140/epjb/e2018-90478-8?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. Alexandros Rontogiannis & Astero Provata, 2021. "Chimera states in FitzHugh–Nagumo networks with reflecting connectivity," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(5), pages 1-12, May.

    More about this item

    Keywords

    Statistical and Nonlinear Physics;

    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:spr:eurphb:v:91:y:2018:i:12:d:10.1140_epjb_e2018-90478-8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.