3 citations · 6 across the 10 of their papers we have counts for
10 papers
Propagation-Window Bounds in Degenerate Plant-Consumer Reaction-Diffusion Systems
Chiun-Chuan Chen, Ting-Yang Hsiao, Li-Chang Hung +2
We study traveling waves in high-dimensional plant--consumer reaction--diffusion systems with competing plants and associated consumers. We focus on the degenerate case in…
Modulational spectrum of infinite-depth hydroelastic Stokes waves
Ting-Yang Hsiao, Zirui Li, Ye Zhang +1
We determine the complete local Bloch spectrum bifurcating from the origin for small-amplitude periodic hydroelastic Stokes waves in infinite depth, under the combined effects of g…
Benjamin-Feir spectrum of hydroelastic Stokes waves
Ting-Yang Hsiao, Zirui Li, Ye Zhang +1
We determine the complete Benjamin-Feir spectrum near the origin for small-amplitude hydroelastic Stokes waves of the two-dimensional finite-depth irrotational Euler equations with…
Spectral structure of the Benjamin-Feir instability in deep-water gravity-capillary Stokes waves
Ting-Yang Hsiao, Xinyang Wang
We investigate the Benjamin--Feir instability of small-amplitude gravity-capillary Stokes waves in deep water for the full water-wave equations. While modulational instability has…
Existence of pure capillary solitary waves in constant vorticity flows
Ting-Yang Hsiao, Zhengjun Liang, Giang To +1
We prove that the finite-depth pure-capillary rigidity mechanism in the irrotational water-wave problem is destroyed by a suitable constant-vorticity critical shear. More precisely…
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…