IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v143y2021ics0960077920310122.html
   My bibliography  Save this article

Explosive synchronization in multilayer networks through partial adaptation

Author

Listed:
  • Khanra, Pitambar
  • Pal, Pinaki

Abstract

We propose an adaptive master-slave coupling scheme to achieve explosive synchronization (ES) in a targeted (slave) layer of a multilayer network of Sakaguchi-Kuramoto (SK) oscillators. The natural frequencies of the oscillators in the networks are drawn from Lorentzian distribution of zero mean. In the absence of inter-layer coupling, the dynamics of the master layer is governed by SK model with local adaptive coupling and the layer exhibits ES for wide ranges of the parameters. On the other hand, the targeted layer also consists of SK model but does not exhibit ES. Under the proposed coupling scheme, a feedback is sent to a percentage of nodes in the slave layer in the form of local order parameters of the master layer to achieve ES in the slave layer. Our numerical experiment shows that the proposed coupling scheme can induce ES in the slave layer even when a very small percentage of nodes receive feedback from the master layer. The area of the hysteresis region in the slaved layer is found to be steadily increasing with the increase in the percentage of feedback receiving nodes of the slave layer. In the ES regime, an amplification in the hysteresis width in the slave layer is also achieved by tuning a parameter in the adaptive coupling function of the master layer. The scheme proposed here is found to be robust and can induce ES in a variety of networks in the slave layer.

Suggested Citation

  • Khanra, Pitambar & Pal, Pinaki, 2021. "Explosive synchronization in multilayer networks through partial adaptation," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920310122
    DOI: 10.1016/j.chaos.2020.110621
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077920310122
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2020.110621?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. Huang, Changwei & Luo, Yijun & Han, Wenchen, 2023. "Cooperation and synchronization in evolutionary opinion changing rate games," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    2. Tang, Longkun & Wang, Jiadong & Liang, Jianli, 2023. "Inter-layer synchronization on a two-layer network of unified chaotic systems: The role of network nodal dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    3. Khanra, Pitambar & Ghosh, Subrata & Alfaro-Bittner, Karin & Kundu, Prosenjit & Boccaletti, Stefano & Hens, Chittaranjan & Pal, Pinaki, 2022. "Identifying symmetries and predicting cluster synchronization in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

    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:143:y:2021:i:c:s0960077920310122. 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.