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Effect of higher-order interactions on synchronization of neuron models with electromagnetic induction

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  • Ramasamy, Mohanasubha
  • Devarajan, Subhasri
  • Kumarasamy, Suresh
  • Rajagopal, Karthikeyan

Abstract

Recent studies have shown that higher-order interactions have a vital role in exploring the collective dynamics of the networks. In particular, the collective behavior of a network of neuron models with many-body interactions has received much attention among researchers in recent times. In this paper, we study the effect of higher-order interactions in the synchronization stability of the network of neuron models, namely Hindmarsh-Rose and Morris-Lecar models, with electromagnetic induction. We consider both two-body and three-body interactions to be diffusive and analyze their effect on the synchronization of the network of neurons. Our analysis shows that higher-order interactions can make the neurons synchrony with the minimal value of first-order coupling strengths in both neuron models. Besides, electromagnetic flux coupling strength also has a significant effect on the synchronization of neurons. In the Hindmarsh-Rose neuron model, the flux coupling demands higher coupling strength in both the first and second-order interactions for the synchronization of neurons. However, the Morris-Lecar neuron model shows a notable distinct effect, where the flux coupling enhances the synchronization of neurons with lesser first and second-order coupling strengths.

Suggested Citation

  • Ramasamy, Mohanasubha & Devarajan, Subhasri & Kumarasamy, Suresh & Rajagopal, Karthikeyan, 2022. "Effect of higher-order interactions on synchronization of neuron models with electromagnetic induction," Applied Mathematics and Computation, Elsevier, vol. 434(C).
    • Handle: RePEc:eee:apmaco:v:434:y:2022:i:c:s0096300322005215
    DOI: 10.1016/j.amc.2022.127447
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    4. Bandyopadhyay, Abhirup & Kar, Samarjit, 2018. "Impact of network structure on synchronization of Hindmarsh–Rose neurons coupled in structured network," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 194-212.
    5. Unai Alvarez-Rodriguez & Federico Battiston & Guilherme Ferraz Arruda & Yamir Moreno & Matjaž Perc & Vito Latora, 2021. "Evolutionary dynamics of higher-order interactions in social networks," Nature Human Behaviour, Nature, vol. 5(5), pages 586-595, May.
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    2. Ma, Jun & Guo, Yitong, 2024. "Model approach of electromechanical arm interacted with neural circuit, a minireview," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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