A double explosive Kuramoto transition in hypergraphs
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917879653335040 |
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| author | Dutta, Sangita Kundu, Prosenjit Khanra, Pitambar Minati, Ludovico Boccaletti, Stefano Pal, Pinaki Hens, Chittaranjan |
| author_facet | Dutta, Sangita Kundu, Prosenjit Khanra, Pitambar Minati, Ludovico Boccaletti, Stefano Pal, Pinaki Hens, Chittaranjan |
| contents | This study aims to develop a generalised concept that will enable double explosive transitions in the forward and backward directions or a combination thereof. We found two essential factors for generating such phase transitions: the use of higher-order (triadic) interactions and the partial adaptation of a global order parameter acting on the triadic coupling. A compromise between the two factors may result in a double explosive transition. To reinforce numerical observations, we employed the Ott--Antonsen ansatz. We observed that for a wide class of hypergraphs, combining two elements can result in a double explosive transition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18897 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A double explosive Kuramoto transition in hypergraphs Dutta, Sangita Kundu, Prosenjit Khanra, Pitambar Minati, Ludovico Boccaletti, Stefano Pal, Pinaki Hens, Chittaranjan Adaptation and Self-Organizing Systems Chaotic Dynamics Pattern Formation and Solitons Physics and Society This study aims to develop a generalised concept that will enable double explosive transitions in the forward and backward directions or a combination thereof. We found two essential factors for generating such phase transitions: the use of higher-order (triadic) interactions and the partial adaptation of a global order parameter acting on the triadic coupling. A compromise between the two factors may result in a double explosive transition. To reinforce numerical observations, we employed the Ott--Antonsen ansatz. We observed that for a wide class of hypergraphs, combining two elements can result in a double explosive transition. |
| title | A double explosive Kuramoto transition in hypergraphs |
| topic | Adaptation and Self-Organizing Systems Chaotic Dynamics Pattern Formation and Solitons Physics and Society |
| url | https://arxiv.org/abs/2412.18897 |