A two-dimensional swarmalator model with higher-order interactions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917996115525632 |
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| author | Anwar, Md Sayeed Sar, Gourab Kumar Carletti, Timoteo Ghosh, Dibakar |
| author_facet | Anwar, Md Sayeed Sar, Gourab Kumar Carletti, Timoteo Ghosh, Dibakar |
| contents | We study a simple two-dimensional swarmalator model that incorporates higher-order phase interactions, uncovering a diverse range of collective states. The latter include spatially coherent and gas-like configurations, neither of which appear in models with only pairwise interactions. Additionally, we discover bistability between various states, a phenomenon that arises directly from the inclusion of higher-order interactions. By analyzing several of these emergent states analytically, both for identical and nonidentical populations of swarmalators, we gain deeper insights into their underlying mechanisms and stability conditions. Our findings broaden the understanding of swarmalator dynamics and open new avenues for exploring complex collective behaviors in systems governed by higher-order interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16599 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A two-dimensional swarmalator model with higher-order interactions Anwar, Md Sayeed Sar, Gourab Kumar Carletti, Timoteo Ghosh, Dibakar Adaptation and Self-Organizing Systems Mathematical Physics We study a simple two-dimensional swarmalator model that incorporates higher-order phase interactions, uncovering a diverse range of collective states. The latter include spatially coherent and gas-like configurations, neither of which appear in models with only pairwise interactions. Additionally, we discover bistability between various states, a phenomenon that arises directly from the inclusion of higher-order interactions. By analyzing several of these emergent states analytically, both for identical and nonidentical populations of swarmalators, we gain deeper insights into their underlying mechanisms and stability conditions. Our findings broaden the understanding of swarmalator dynamics and open new avenues for exploring complex collective behaviors in systems governed by higher-order interactions. |
| title | A two-dimensional swarmalator model with higher-order interactions |
| topic | Adaptation and Self-Organizing Systems Mathematical Physics |
| url | https://arxiv.org/abs/2504.16599 |