Mixed higher-order coupling stabilizes new states
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908586336059392 |
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| author | Skardal, Per Sebastian Battiston, Federico Lucas, Maxime Mizuhara, Matthew S Petri, Giovanni Zhang, Yuanzhao |
| author_facet | Skardal, Per Sebastian Battiston, Federico Lucas, Maxime Mizuhara, Matthew S Petri, Giovanni Zhang, Yuanzhao |
| contents | Understanding how higher-order interactions affect collective behavior is a central problem in nonlinear dynamics and complex systems. Most works have focused on a single higher-order coupling function, neglecting other viable choices. Here we study coupled oscillators with dyadic and three different types of higher-order couplings. By analyzing the stability of different twisted states on rings, we show that many states are stable only for certain combinations of higher-order couplings, and thus the full range of system dynamics cannot be observed unless all types of higher-order couplings are simultaneously considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_09387 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mixed higher-order coupling stabilizes new states Skardal, Per Sebastian Battiston, Federico Lucas, Maxime Mizuhara, Matthew S Petri, Giovanni Zhang, Yuanzhao Adaptation and Self-Organizing Systems Understanding how higher-order interactions affect collective behavior is a central problem in nonlinear dynamics and complex systems. Most works have focused on a single higher-order coupling function, neglecting other viable choices. Here we study coupled oscillators with dyadic and three different types of higher-order couplings. By analyzing the stability of different twisted states on rings, we show that many states are stable only for certain combinations of higher-order couplings, and thus the full range of system dynamics cannot be observed unless all types of higher-order couplings are simultaneously considered. |
| title | Mixed higher-order coupling stabilizes new states |
| topic | Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2510.09387 |