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20232026
most citedSynchronization in the complexified Kuramoto model

3 citations · 6 across the 10 of their papers we have counts for

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math.AP2026

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…

math.AP2026

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…

math.AP2026

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…

math.AP2026

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…

math.AP2026

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…

math.DS2026

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,…