3 citations · 6 across the 4 of their papers we have counts for
4 papers
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…
Equivalence of synchronization states in the Kuramoto flow: a unified framework
Ting-Yang Hsiao, Yun-Feng Lo, Chengbin Zhu
On the fiftieth anniversary of the Kuramoto model, synchronization remains a central paradigm for collective behavior in complex oscillator systems. While phase locking, frequency…
Synchronization in the complexified Kuramoto model
Ting-Yang Hsiao, Yun-Feng Lo, Winnie Wang
In this paper, we consider an -oscillators complexified Kuramoto model. We first observe that there are solutions exhibiting finite-time blow-up behavior in all coupling regimes…
Synchronization in the quaternionic Kuramoto model
Ting-Yang Hsiao, Yun-Feng Lo, Winnie Wang
In this paper, we propose an oscillators Kuramoto model with quaternions . In case the coupling strength is strong, a sufficient condition of synchronization is est…