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Reconstructing higher-order interactions in coupled dynamical systems

Author

Listed:
  • Federico Malizia

    (Università di Catania
    Northeastern University London)

  • Alessandra Corso

    (University of Catania)

  • Lucia Valentina Gambuzza

    (University of Catania)

  • Giovanni Russo

    (University of Catania)

  • Vito Latora

    (Università di Catania
    Queen Mary University of London
    INFN
    Complexity Science Hub)

  • Mattia Frasca

    (University of Catania)

Abstract

Higher-order interactions play a key role for the operation and function of a complex system. However, how to identify them is still an open problem. Here, we propose a method to fully reconstruct the structural connectivity of a system of coupled dynamical units, identifying both pairwise and higher-order interactions from the system time evolution. Our method works for any dynamics, and allows the reconstruction of both hypergraphs and simplicial complexes, either undirected or directed, unweighted or weighted. With two concrete applications, we show how the method can help understanding the complexity of bacterial systems, or the microscopic mechanisms of interaction underlying coupled chaotic oscillators.

Suggested Citation

  • 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.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-49278-x
    DOI: 10.1038/s41467-024-49278-x
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    References listed on IDEAS

    as
    1. Hang, Zihua & Dai, Penglin & Jia, Shanshan & Yu, Zhaofei, 2020. "Network structure reconstruction with symmetry constraint," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. Christophe Ladroue & Shuixia Guo & Keith Kendrick & Jianfeng Feng, 2009. "Beyond Element-Wise Interactions: Identifying Complex Interactions in Biological Processes," PLOS ONE, Public Library of Science, vol. 4(9), pages 1-14, September.
    3. L. V. Gambuzza & F. Patti & L. Gallo & S. Lepri & M. Romance & R. Criado & M. Frasca & V. Latora & S. Boccaletti, 2021. "Stability of synchronization in simplicial complexes," Nature Communications, Nature, vol. 12(1), pages 1-13, December.
    4. Jacopo Grilli & György Barabás & Matthew J. Michalska-Smith & Stefano Allesina, 2017. "Higher-order interactions stabilize dynamics in competitive network models," Nature, Nature, vol. 548(7666), pages 210-213, August.
    5. Huan Wang & Chuang Ma & Han-Shuang Chen & Ying-Cheng Lai & Hai-Feng Zhang, 2022. "Full reconstruction of simplicial complexes from binary contagion and Ising data," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
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