AI 中文总结
研究识别出从完全频率相干到部分非相干的幅度介导转变，通过电化学硅蚀刻实验和全局耦合的异质斯图尔特 - 兰道振荡器群体观察到。强耦合引入双峰幅度分布，低幅度振荡器中二次霍普夫分岔触发转变，幅度缺陷导致部分非相干状态，揭示了仅相位模型无法捕捉的非相干途径。
AI 中文摘要
仅相位模型对理解同步有重要贡献，但无法解释幅度动力学起作用的动态场景。本研究识别出从完全频率相干到部分非相干的幅度介导转变，在电化学硅蚀刻实验和全局耦合的异质斯图尔特 - 兰道振荡器群体中均有观察到。强耦合引入双峰幅度分布，低幅度振荡器中连续的二次霍普夫分岔触发向部分非相干的转变。当调制导致振荡器经历幅度缺陷时，缠绕数改变，将二次频率转换为新的、特定于振荡器的平均频率。此机制导致部分非相干状态，其中一个幅度组保持频率锁定，而另一个发展出分散的频率分支。这些发现表明幅度缺陷提供了仅相位模型无法捕捉的通向非相干的途径。
英文摘要
Phase-only models have contributed significantly to the understanding of synchronization; however, they do not account for dynamical scenarios where amplitude dynamics matter. This study identifies an amplitude-mediated transition from complete frequency coherence to partial incoherence, observed both in an electrochemical silicon-etching experiment and within a population of globally coupled heterogeneous Stuart-Landau oscillators. Strong coupling introduces a bimodal-amplitude distribution from which the transition to partial incoherence is triggered by successive secondary Hopf bifurcations in low-amplitude oscillators. When these modulations cause oscillators to experience amplitude defects, the winding number changes, converting the secondary frequency into a new, oscillator-specific mean frequency. This mechanism results in a partially incoherent state, in which one amplitude group maintains frequency locking while another develops a dispersed frequency branch. These findings demonstrate that amplitude defects offer a pathway to incoherence that phase-only models cannot capture.
Comments17 pages, 5 figures
