Triadic percolation on multilayer networks
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917240091181056 |
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| author | Sun, Hanlin Radicchi, Filippo Bianconi, Ginestra |
| author_facet | Sun, Hanlin Radicchi, Filippo Bianconi, Ginestra |
| contents | Triadic interactions are special types of higher-order interactions that occur when regulator nodes modulate the interactions between other two or more nodes. In presence of triadic interactions, a percolation process occurring on a single-layer network becomes a fully-fledged dynamical system, characterized by period-doubling and a route to chaos. Here, we generalize the model to multilayer networks and name it as the multilayer triadic percolation (MTP) model. We find a much richer dynamical behavior of the MTP model than its single-layer counterpart. MTP displays a Neimark-Sacker bifurcation, leading to oscillations of arbitrarily large period or pseudo-periodic oscillations. Moreover, MTP admits period-two oscillations without negative regulatory interactions, whereas single-layer systems only display discontinuous hybrid transitions. This comprehensive model offers new insights on the importance of regulatory interactions in real-world systems such as brain networks, climate, and ecological systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09341 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Triadic percolation on multilayer networks Sun, Hanlin Radicchi, Filippo Bianconi, Ginestra Adaptation and Self-Organizing Systems Disordered Systems and Neural Networks Statistical Mechanics Chaotic Dynamics Physics and Society Triadic interactions are special types of higher-order interactions that occur when regulator nodes modulate the interactions between other two or more nodes. In presence of triadic interactions, a percolation process occurring on a single-layer network becomes a fully-fledged dynamical system, characterized by period-doubling and a route to chaos. Here, we generalize the model to multilayer networks and name it as the multilayer triadic percolation (MTP) model. We find a much richer dynamical behavior of the MTP model than its single-layer counterpart. MTP displays a Neimark-Sacker bifurcation, leading to oscillations of arbitrarily large period or pseudo-periodic oscillations. Moreover, MTP admits period-two oscillations without negative regulatory interactions, whereas single-layer systems only display discontinuous hybrid transitions. This comprehensive model offers new insights on the importance of regulatory interactions in real-world systems such as brain networks, climate, and ecological systems. |
| title | Triadic percolation on multilayer networks |
| topic | Adaptation and Self-Organizing Systems Disordered Systems and Neural Networks Statistical Mechanics Chaotic Dynamics Physics and Society |
| url | https://arxiv.org/abs/2510.09341 |