Quantized Frequency-locking and Extreme Transitions in a Ring of Phase Oscillators with Three-Body Interactions
Pattern Formation and Solitons
2025-12-23 v1
Abstract
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 : below the entire population locks to a collective phase velocity; above 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.
Keywords
Cite
@article{arxiv.2512.18983,
title = {Quantized Frequency-locking and Extreme Transitions in a Ring of Phase Oscillators with Three-Body Interactions},
author = {Jinfeng Liang and Shanshan Zhu and Yang Li and Qionglin Dai and Haihong Li and Junzhong Yang},
journal= {arXiv preprint arXiv:2512.18983},
year = {2025}
}