IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v188y2024ics0960077924011032.html
   My bibliography  Save this article

A set of five generalised memristive synapses for the hidden nonlinear dynamics in three coupled neurons

Author

Listed:
  • Singh, Jay Prakash

Abstract

This article, reports a new generalised set of five memristive synapses for three sets of coupled neurons (i) 2D Fitzhugh-Nagumo (FN) and 3D Hundmarsh-Rose (HR) neuron model, (ii) 2D Fitzhugh-Nagumo and 2D Fitzhugh-Nagumo neuron model and (iii) 3D Hundmarsh-Rose neuron and 3D Hundmarsh-Rose neuron model. The proposed synapses with a coupled 2D3D neurons, 3D3D neurons or 2D2D neurons leads to various dynamical behaviours. The hidden-attracted dynamics of the coupled neurons with the proposed synapses is discussed after finding the equilibrium point of the models. Using the numerical tools, the proposed model depicts periodic, quasiperiodic, stable and chaotic bursts. Furthermore, a free control technique is applied on the states of a model by using the control of its amplitude, frequency and offset.

Suggested Citation

  • Singh, Jay Prakash, 2024. "A set of five generalised memristive synapses for the hidden nonlinear dynamics in three coupled neurons," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    • Handle: RePEc:eee:chsofr:v:188:y:2024:i:c:s0960077924011032
    DOI: 10.1016/j.chaos.2024.115551
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924011032
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115551?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.

    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:188:y:2024:i:c:s0960077924011032. 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.