1 citations · 1 across the 4 of their papers we have counts for
4 papers
On oscillator death in the Winfree model
Seung-Yeon Ryoo
We show that for the standard sinusoidal Winfree model, a coupling strength exceeding twice the maximal magnitude of the intrinsic frequencies guarantees the convergence of the sys…
Asymptotics of Riemannian Lie groups with nilpotency step 2
Enrico Le Donne, Luca Nalon, Sebastiano Nicolussi Golo +1
We derive sharp estimates comparing asymptotic Riemannian or sub-Riemannian metrics in 2-step nilpotent Lie groups. For each metric, we construct a Carnot metric whose square remai…
Asymptotic formation and orbital stability of phase-locked states in Kuramoto--Lohe type synchronization models on Lie groups
Seung-Yeon Ryoo
Some mathematical models of synchronization, such as the Kuramoto model (1975) and its generalizations pioneered by Lohe (2009), are formulated as ordinary differential equations d…
Embedding snowflakes of Carnot groups into bounded dimensional Euclidean spaces with optimal distortion
Seung-Yeon Ryoo
We show that for any Carnot group there exists a natural number such that for any the metric space admits a bi-Lipschitz emb…