26 citations · 41 across the 2 of their papers we have counts for
2 papers
math-ph2020★ 15 cited
Constants of motion for the finite-dimensional Lohe type models with frustration and applications to emergent dynamics
Seung-Yeal Ha, Dohyun Kim, Hansol Park +1
We present constants of motion for the finite-dimensional Lohe type aggregation models with frustration and we apply them to analyze the emergence of collective behaviors. The Lohe…
math.DS2020★ 26 cited
Asymptotic phase-locking dynamics and critical coupling strength for the Kuramoto model
Seung-Yeal Ha, Sang Woo Ryoo
We study the asymptotic clustering (phase-locking) dynamics for the Kuramoto model. For the analysis of emergent asymptotic patterns in the Kuramoto flow, we introduce the pathwise…