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Effect of higher-order interactions on aging transitions of coupled neurons

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  • Biswas, Dhrubajyoti
  • Seth, Soumyajit

Abstract

This study examines the impact of higher-order interactions on aging transitions (ATs) in coupled neuronal systems modelled by the Rulkov map. A globally coupled network is considered, comprising oscillatory and non-oscillatory neurons, with their proportion representing network age. An order parameter quantifying collective oscillations reveals both smooth and explosive ATs under purely pairwise interactions. The inclusion of higher-order couplings is found to smoothen or delay the onset of ATs, depending on the interaction type and strength. Extending the model to incorporate the Erdos-Renyi random network topologies for pairwise interactions shows a rich spectrum of dynamics, including continuous, single-explosive, and double-explosive transitions. Additionally, additive Gaussian noise is introduced to study stochastic effects, which are observed to smoothen transitions and reduce bi-stability. For sufficiently high noise levels, persistent oscillatory activity emerges even in the fully aged regime. These findings underscore the significant role of higher-order interactions and their interplay with network structure and noise in shaping ATs in neuronal systems.

Suggested Citation

  • Biswas, Dhrubajyoti & Seth, Soumyajit, 2025. "Effect of higher-order interactions on aging transitions of coupled neurons," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p1:s0960077925009907
    DOI: 10.1016/j.chaos.2025.116977
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    References listed on IDEAS

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    1. Zhao, Nannan & Zhang, Xuexue, 2023. "Impact of higher-order interactions on amplitude death of coupled oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    2. Yuanzhao Zhang & Maxime Lucas & Federico Battiston, 2023. "Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    3. Fariello, Ricardo & de Aguiar, Marcus A.M., 2024. "Third order interactions shift the critical coupling in multidimensional Kuramoto models," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    4. Federico Malizia & Alessandra Corso & Lucia Valentina Gambuzza & Giovanni Russo & Vito Latora & Mattia Frasca, 2024. "Reconstructing higher-order interactions in coupled dynamical systems," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    5. Jonathan M. Levine & Jordi Bascompte & Peter B. Adler & Stefano Allesina, 2017. "Beyond pairwise mechanisms of species coexistence in complex communities," Nature, Nature, vol. 546(7656), pages 56-64, June.
    6. Bosiljka Tadić & Roderick Melnik, 2024. "Fundamental interactions in self-organised critical dynamics on higher order networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(6), pages 1-13, June.
    7. Biswas, Dhrubajyoti & Gupta, Sayan, 2024. "Symmetry-breaking higher-order interactions in coupled phase oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    8. Bashkirtseva, Irina & Nasyrova, Venera & Ryashko, Lev, 2018. "Noise-induced bursting and chaos in the two-dimensional Rulkov model," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 76-81.
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