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math.DS2022
Emergence of phase-locked states for a deterministic and stochastic Winfree model with inertia
Myeongju Kang, Marco Rehmeier
We study the emergence of phase-locking for Winfree oscillators under the effect of inertia. It is known that in a large coupling regime, oscillators governed by the deterministic…
math.DS2021
On a generalized Kuramoto model with relativistic effects and emergent dynamics
Chan Ho Min, Hyunjin Ahn, Seung-Yeal Ha +1
We propose a generalized Kuramoto model with relativistic effects and investigate emergent asymptotic behaviors. The proposed generalized Kuramoto model incorporates relativistic K…
math.DS2021★ 3 cited
Emergent behaviors of high-dimensional Kuramoto models on Stiefel manifolds
Seung-Yeal Ha, Myeongju Kang, Dohyun Kim
We study emergent asymptotic dynamics for the first and second-order high-dimensional Kuramoto models on Stiefel manifolds which extend the previous consensus models on Riemannian…