3 citations · 6 across the 10 of their papers we have counts for
5 papers · 1 filter
Global Complete Synchronization in Networks of Identical Stuart--Landau Oscillators
Kuan-Wei Chen, Ting-Yang Hsiao
We study global complete synchronization in finite networks of diffusively coupled Stuart--Landau oscillators with identical natural frequencies. The underlying graph is arbitrary,…
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…
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,…
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…