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arXiv · 2602.10533

Defect states as a precursor of the chimera states in a ring of non-locally coupled oscillators

Tianjing Zhou·Nariya Uchida
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Abstract

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 $\alpha$ and peaks at $\alpha_{c}$, where the system crosses over to asynchronous states filled with chimera clusters. While the traveling speed, number, and width of these defects increase with $\alpha$, 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.

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Tianjing Zhou, Nariya Uchida. 2026-02-11. Defect states as a precursor of the chimera states in a ring of non-locally coupled oscillators. https://arxiv.org/abs/2602.10533

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