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Higher-order-interaction in multiplex neuronal network with electric and synaptic coupling

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  • Singh, Arpit
  • Verma, Umesh Kumar
  • Mishra, Ajay
  • Yadav, Kiran
  • Sharma, Amit
  • Varshney, Vaibhav

Abstract

We explore the emergence of various dynamic states within neurons interconnected in a multiplex setting with higher-order coupling. Using the Hindmarsh–Rose model as a representation of multiplex network dynamics, we examine scenarios where the primary layer is interacting through higher-order synaptic coupling while the secondary layer exhibits higher-order electric coupling. We examine the behavior of neurons within each layer individually and identify various emerging activity patterns, including synchronization, amplitude and oscillation death. When combining both layer through feedback mechanisms, we notice that the phenomenon of oscillation death shifts from the first layer to the second as the intralayer coupling intensifies. Multiplexing can also induces oscillation death in both the layers even when first layer is uncoupled. We also show that increasing the strength of synaptic coupling results in revival of oscillation in both the layers.

Suggested Citation

  • Singh, Arpit & Verma, Umesh Kumar & Mishra, Ajay & Yadav, Kiran & Sharma, Amit & Varshney, Vaibhav, 2024. "Higher-order-interaction in multiplex neuronal network with electric and synaptic coupling," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    • Handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924004168
    DOI: 10.1016/j.chaos.2024.114864
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    References listed on IDEAS

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    1. Singh, Arpit & Verma, Umesh Kumar & Sharma, Amit & Mishra, Ajay & Varshney, Vaibhav, 2026. "Chimera death in limit-cycle oscillators with higher-order multilayer networks," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    2. Farrera-Megchun, Agustin & Padilla-Longoria, Pablo & Santos, Gerardo J. Escalera & Espinal-Enríquez, Jesús & Bernal-Jaquez, Roberto, 2025. "Explosive synchronization driven by repulsive higher-order interactions in coupled neurons," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).

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