IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v15y2024i1d10.1038_s41467-024-49278-x.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-024-49278-x
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-024-49278-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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.
    6. Huan Wang & Chuang Ma & Han-Shuang Chen & Ying-Cheng Lai & Hai-Feng Zhang, 2022. "Author Correction: Full reconstruction of simplicial complexes from binary contagion and Ising data," Nature Communications, Nature, vol. 13(1), pages 1-1, December.
    7. Iacopo Iacopini & Giovanni Petri & Alain Barrat & Vito Latora, 2019. "Simplicial models of social contagion," Nature Communications, Nature, vol. 10(1), pages 1-9, December.
    8. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhao, Dandan & Li, Runchao & Peng, Hao & Zhong, Ming & Wang, Wei, 2022. "Percolation on simplicial complexes," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    2. Zhang, Kebo & Hong, Xiao & Han, Yuexing & Wang, Bing, 2024. "Interplay of simplicial information propagation and epidemic spreading on multiplex metapopulation networks," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    3. Luca Gallo & Lucas Lacasa & Vito Latora & Federico Battiston, 2024. "Higher-order correlations reveal complex memory in temporal hypergraphs," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    4. Martina Contisciani & Federico Battiston & Caterina De Bacco, 2022. "Inference of hyperedges and overlapping communities in hypergraphs," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    5. Zhang, Ziyu & Mei, Xuehui & Jiang, Haijun & Luo, Xupeng & Xia, Yang, 2023. "Dynamical analysis of Hyper-SIR rumor spreading model," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    6. 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.
    7. Ma, Ning & Yu, Guang & Jin, Xin, 2024. "Dynamics of competing public sentiment contagion in social networks incorporating higher-order interactions during the dissemination of public opinion," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    8. 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).
    9. Lv, Xijian & Fan, Dongmei & Yang, Junxian & Li, Qiang & Zhou, Li, 2024. "Delay differential equation modeling of social contagion with higher-order interactions," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    10. Shang, Yilun, 2022. "Sombor index and degree-related properties of simplicial networks," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    11. Li, Xueqi & Ghosh, Dibakar & Lei, Youming, 2023. "Chimera states in coupled pendulum with higher-order interaction," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    12. Vera-Ávila, V.P. & Rivera-Durón, R.R. & Soriano-Garcia, Miguel S. & Sevilla-Escoboza, R. & Buldú, Javier M., 2024. "Electronic implementation of simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    13. Guilherme Ferraz de Arruda & Giovanni Petri & Pablo Martin Rodriguez & Yamir Moreno, 2023. "Multistability, intermittency, and hybrid transitions in social contagion models on hypergraphs," Nature Communications, Nature, vol. 14(1), pages 1-15, December.
    14. Nie, Yanyi & Li, Wenyao & Pan, Liming & Lin, Tao & Wang, Wei, 2022. "Markovian approach to tackle competing pathogens in simplicial complex," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    15. Li, WenYao & Xue, Xiaoyu & Pan, Liming & Lin, Tao & Wang, Wei, 2022. "Competing spreading dynamics in simplicial complex," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    16. Nie, Yanyi & Zhong, Xiaoni & Lin, Tao & Wang, Wei, 2022. "Homophily in competing behavior spreading among the heterogeneous population with higher-order interactions," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    17. Krishnagopal, Sanjukta & Bianconi, Ginestra, 2023. "Topology and dynamics of higher-order multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    18. Zhang, Renquan & Wei, Ting & Sun, Yifan & Pei, Sen, 2024. "Influence maximization based on simplicial contagion models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 645(C).
    19. Zhao, Dandan & Li, Runchao & Peng, Hao & Zhong, Ming & Wang, Wei, 2022. "Higher-order percolation in simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    20. Peng, Hao & Zhao, Yifan & Zhao, Dandan & Zhong, Ming & Hu, Zhaolong & Han, Jianming & Li, Runchao & Wang, Wei, 2023. "Robustness of higher-order interdependent networks," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-49278-x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.