Hyperedge overlap drives explosive collective behaviors in systems with higher-order interactions
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913917808148480 |
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| author | Malizia, Federico Lamata-Otín, Santiago Frasca, Mattia Latora, Vito Gómez-Gardeñes, Jesús |
| author_facet | Malizia, Federico Lamata-Otín, Santiago Frasca, Mattia Latora, Vito Gómez-Gardeñes, Jesús |
| contents | Recent studies have shown that novel collective behaviors emerge in complex systems due to the presence of higher-order interactions. However, how the collective behavior of a system is influenced by the microscopic organization of its higher-order interactions remains still unexplored. In this Letter, we introduce a way to quantify the overlap among the hyperedges of a higher-order network, and we show that real-world systems exhibit different levels of hyperedge overlap. We then study models of complex contagion and synchronization of phase oscillators, finding that hyperedge overlap plays a universal role in determining the collective dynamics of very different systems. Our results demostrate that the presence of higher-order interactions alone does not guarantee abrupt transitions. Rather, explosivity and bistability require a microscopic organization of the structure with a low value of hyperedge overlap. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03519 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hyperedge overlap drives explosive collective behaviors in systems with higher-order interactions Malizia, Federico Lamata-Otín, Santiago Frasca, Mattia Latora, Vito Gómez-Gardeñes, Jesús Physics and Society Recent studies have shown that novel collective behaviors emerge in complex systems due to the presence of higher-order interactions. However, how the collective behavior of a system is influenced by the microscopic organization of its higher-order interactions remains still unexplored. In this Letter, we introduce a way to quantify the overlap among the hyperedges of a higher-order network, and we show that real-world systems exhibit different levels of hyperedge overlap. We then study models of complex contagion and synchronization of phase oscillators, finding that hyperedge overlap plays a universal role in determining the collective dynamics of very different systems. Our results demostrate that the presence of higher-order interactions alone does not guarantee abrupt transitions. Rather, explosivity and bistability require a microscopic organization of the structure with a low value of hyperedge overlap. |
| title | Hyperedge overlap drives explosive collective behaviors in systems with higher-order interactions |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2307.03519 |