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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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    References listed on IDEAS

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    Citations

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    Cited by:

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    3. Ye, Zhiqiu & Liu, Lu & Liu, Yingqi & Zeng, Jiapei & Xie, Ying & Jia, Ya & Yang, Lijian, 2025. "Synchronization stability in conductance-based neural networks under electromagnetic modulation," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    4. Huang, Weifang & Wu, Yong & Ding, Qianming & Jia, Ya & Yang, Lijian, 2025. "Effects of higher-order interactions and electromagnetic induction on synchronization in Hindmarsh–Rose neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    5. Xu, Linlong & Liu, Xiwei, 2025. "Prescribed-time bipartite synchronization for directed higher-order networks," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    6. Wei, Lixiang & Li, Dong & Zhang, Jiangang & Wang, Zhichun, 2025. "Locally active memristor neuromorphic circuit for Morris-Lecar driven robotic arm control," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    7. Huang, Weifang & Wu, Yong & Ding, Qianming & Jia, Ya & Zhan, Xuan, 2025. "Effects of external periodic stimuli and higher-order interactions on the synchronization of Morris-Lecar neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 669(C).
    8. Guo, Yitong & Wang, Chunni & Ma, Jun, 2024. "Jointed pendulums driven by a neural circuit, electromechanical arm model approach," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).

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