Quantized Frequency-locking and Extreme Transitions in a Ring of Phase Oscillators with Three-Body Interactions
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911331686285312 |
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| author | Liang, Jinfeng Zhu, Shanshan Li, Yang Dai, Qionglin Li, Haihong Yang, Junzhong |
| author_facet | Liang, Jinfeng Zhu, Shanshan Li, Yang Dai, Qionglin Li, Haihong Yang, Junzhong |
| contents | We report a spectrum of exotic frequency-locked states in a ring of phase oscillators with pure three-body interactions. For identical oscillators, the system hosts a vast multiplicity of stable quantized frequency-locked states without phase coherence. Introducing frequency heterogeneity broadens each quantized level into a continuous band and drives an extreme second-order transition at $Δ_c$: below $Δ_c$ the entire population locks to a collective phase velocity; above $Δ_c$ a desynchronous state emerges, characterized by strongly localized bursts on a slowly varying background. This minimal model thus establishes a new paradigm for complex synchronization landscapes arising from higher-order interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18983 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantized Frequency-locking and Extreme Transitions in a Ring of Phase Oscillators with Three-Body Interactions Liang, Jinfeng Zhu, Shanshan Li, Yang Dai, Qionglin Li, Haihong Yang, Junzhong Pattern Formation and Solitons We report a spectrum of exotic frequency-locked states in a ring of phase oscillators with pure three-body interactions. For identical oscillators, the system hosts a vast multiplicity of stable quantized frequency-locked states without phase coherence. Introducing frequency heterogeneity broadens each quantized level into a continuous band and drives an extreme second-order transition at $Δ_c$: below $Δ_c$ the entire population locks to a collective phase velocity; above $Δ_c$ a desynchronous state emerges, characterized by strongly localized bursts on a slowly varying background. This minimal model thus establishes a new paradigm for complex synchronization landscapes arising from higher-order interactions. |
| title | Quantized Frequency-locking and Extreme Transitions in a Ring of Phase Oscillators with Three-Body Interactions |
| topic | Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2512.18983 |