Defect states as a precursor of the chimera states in a ring of non-locally coupled oscillators
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866910018753789952 |
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| author | Zhou, Tianjing Uchida, Nariya |
| author_facet | Zhou, Tianjing Uchida, Nariya |
| contents | We investigate the transition from synchronized to chimera states in a ring of non-locally coupled phase oscillators. Our focus is on the intermediate defect states, where solitary waves in the phase gradient profile travel at a constant speed. These traveling defects serve as a dynamical precursor for the nucleation of chimera clusters. The fraction of samples exhibiting defect states increases with the phase delay $α$ and peaks at $α_{c}$, where the system crosses over to asynchronous states filled with chimera clusters. While the traveling speed, number, and width of these defects increase with $α$, the total spatial extent of the defects remains robust against the system size $N$. These results shed new light on the emergence of chimera states in frustrated coupled oscillators. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_10533 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Defect states as a precursor of the chimera states in a ring of non-locally coupled oscillators Zhou, Tianjing Uchida, Nariya Adaptation and Self-Organizing Systems We investigate the transition from synchronized to chimera states in a ring of non-locally coupled phase oscillators. Our focus is on the intermediate defect states, where solitary waves in the phase gradient profile travel at a constant speed. These traveling defects serve as a dynamical precursor for the nucleation of chimera clusters. The fraction of samples exhibiting defect states increases with the phase delay $α$ and peaks at $α_{c}$, where the system crosses over to asynchronous states filled with chimera clusters. While the traveling speed, number, and width of these defects increase with $α$, the total spatial extent of the defects remains robust against the system size $N$. These results shed new light on the emergence of chimera states in frustrated coupled oscillators. |
| title | Defect states as a precursor of the chimera states in a ring of non-locally coupled oscillators |
| topic | Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2602.10533 |