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math.DS2025
Synchronization Relations in the Hybrid Kuramoto Flow: Equivalence and a High-Coherence Criterion
Ting-Yang Hsiao, Yun-Feng Lo, Chengbin Zhu
We study four synchronization notions for the all-to-all hybrid Kuramoto model containing both first- and second-order oscillators with heterogeneous inertias and damping coefficie…
math.DS2025
On the Equivalence of Synchronization Definitions in the Kuramoto Flow: A Unified Approach
Ting-Yang Hsiao, Yun-Feng Lo, Chengbin Zhu
We present a rigorous mathematical framework establishing the equivalence of four classical notions of synchronization full phase-locking, phase-locking, frequency synchronization,…