Stochastic Kuramoto oscillators with inertia and higher-order interactions
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929429152792576 |
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| author | Rajwani, Priyanka Jalan, Sarika |
| author_facet | Rajwani, Priyanka Jalan, Sarika |
| contents | Impact of noise in coupled oscillators with pairwise interactions has been extensively explored. Here, we study stochastic second-order coupled Kuramoto oscillators with higher-order interactions, and show that as noise strength increases the critical points associated with synchronization transitions shift toward higher coupling values. By employing the perturbation analysis, we obtain an expression for the forward critical point as a function of inertia and noise strength. Further, for overdamped systems we show that as noise strength increases, the first-order transition switches to second-order even for higher-order couplings. We include a discussion on nature of critical points obtained through Ott-Antonsen ansatz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14874 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic Kuramoto oscillators with inertia and higher-order interactions Rajwani, Priyanka Jalan, Sarika Adaptation and Self-Organizing Systems Impact of noise in coupled oscillators with pairwise interactions has been extensively explored. Here, we study stochastic second-order coupled Kuramoto oscillators with higher-order interactions, and show that as noise strength increases the critical points associated with synchronization transitions shift toward higher coupling values. By employing the perturbation analysis, we obtain an expression for the forward critical point as a function of inertia and noise strength. Further, for overdamped systems we show that as noise strength increases, the first-order transition switches to second-order even for higher-order couplings. We include a discussion on nature of critical points obtained through Ott-Antonsen ansatz. |
| title | Stochastic Kuramoto oscillators with inertia and higher-order interactions |
| topic | Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2407.14874 |