AI 中文总结
本文提出一种基于电子正交振荡器的实验Kuramoto平台，其在弱、强耦合下均等价于Kuramoto模型，可复现相关相变，用于系统验证复杂网络同步的分析与数值结果。
AI 中文摘要
相位约减为高维振子动力学与低维相位模型（如Kuramoto模型）之间提供了有原则的关联。然而，将Kuramoto框架的分析结果与实验数据关联仍是一个开放挑战，因为许多物理平台违反了标准相位约减背后的弱耦合假设。本文提出一种基于电子正交振荡器的实验平台，其相位动力学在特定假设下等价于Kuramoto模型。关键在于，该等价性通过非扩散耦合电路在弱耦合和强耦合下均能实现，且设计方法支持任意（带权和有向）网络拓扑，同时保持可扩展性和振荡规律性。在不同耦合方案下，该平台可靠复现了Kuramoto模型预测的全局同步与集群同步的相变。这种高性价比平台可用于对复杂网络同步的分析和数值结果进行系统实验验证。
英文摘要
Phase reduction provides a principled relationship between high-dimensional oscillator dynamics and low-dimensional phase models such as the Kuramoto model. However, connecting analytical results derived from the Kuramoto framework to experimental data remains an open challenge, as many physical platforms violate the weak-coupling assumptions underlying standard phase reduction. Here, we present an experimental platform based on electronic quadrature oscillators whose phase dynamics are, under certain assumptions, equivalent to the Kuramoto model. Crucially, this equivalence is achieved for both weak and strong coupling through a non-diffusive coupling circuit, and the design approach supports arbitrary (weighted and directed) network topologies while preserving scalability and oscillation regularity. Across different coupling schemes, we demonstrate that the platform reliably reproduces phase transitions predicted by the Kuramoto model for both global and cluster synchronization. This cost-effective platform enables systematic experimental validation of analytical and numerical results for synchronization in complex networks.
CommentsPhysical Review E (2026)
