On the role of higher-order interactions towards first synchronization time
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917394514968576 |
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| author | Biswas, Dhrubajyoti Patra, Pintu Banerjee, Arpan |
| author_facet | Biswas, Dhrubajyoti Patra, Pintu Banerjee, Arpan |
| contents | Understanding how large complex networks achieve synchronization is a problem of fundamental interest, and is typically studied in the asymptotic steady-state regime. In contrast, this study investigates how higher-order interactions affect the time required to reach steady-state synchronization in a complex dynamical system. To this end, an analytical expression for the first synchronization time is derived using the Ott-Antonsen ansatz on a Kuramoto oscillator network with higher-order interactions. Subsequent numerics reveal that increasing coupling strengths accelerates the transition to synchronization, whereas increasing the interaction order produces non-monotonic behavior. In particular, the inclusion of triadic interactions accelerates synchronization, whereas further incorporating higher-order interactions progressively delays convergence to the steady state, in some regimes even falling below the pairwise case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_07707 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the role of higher-order interactions towards first synchronization time Biswas, Dhrubajyoti Patra, Pintu Banerjee, Arpan Adaptation and Self-Organizing Systems Understanding how large complex networks achieve synchronization is a problem of fundamental interest, and is typically studied in the asymptotic steady-state regime. In contrast, this study investigates how higher-order interactions affect the time required to reach steady-state synchronization in a complex dynamical system. To this end, an analytical expression for the first synchronization time is derived using the Ott-Antonsen ansatz on a Kuramoto oscillator network with higher-order interactions. Subsequent numerics reveal that increasing coupling strengths accelerates the transition to synchronization, whereas increasing the interaction order produces non-monotonic behavior. In particular, the inclusion of triadic interactions accelerates synchronization, whereas further incorporating higher-order interactions progressively delays convergence to the steady state, in some regimes even falling below the pairwise case. |
| title | On the role of higher-order interactions towards first synchronization time |
| topic | Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2604.07707 |