22 citations · 47 across the 18 of their papers we have counts for
5 papers · 1 filter
Mean field Kuramoto models on graphs
Wuchen Li, Hansol Park
One of a classical synchronization model is the Kuramoto model. We propose both first and second order Kuramoto dynamical models on graphs using discrete optimal transport dynamics…
Relaxation dynamics of SIR-flocks with random epidemic states
Seung-Yeal Ha, Hansol Park, Seoyeon Yang
We study the collective dynamics of a multi-particle system with three epidemic states as an internal state. For the collective modeling of active particle system, we adopt modelin…
Emergent behaviors of rotation matrix flocks
Razvan C. Fetecau, Seung-Yeal Ha, Hansol Park
We derive an explicit form for the Cucker-Smale (CS) model on the special orthogonal group by identifying closed form expressions for geometric quantities such as…
Emergent behaviors in group ring flocks
Seung-Yeal Ha, Hansol Park
We present a first-order aggregation model on a group ring, and study its asymptotic dynamics. In a positive coupling strength regime, we show that the flow generated by the propos…
Emergent behaviors of Thermodynamic Kuramoto ensemble on a regular ring lattice
Seung-Yeal Ha, Hansol Park, Tommaso Ruggeri +1
The temporal evolution of Kuramoto oscillators influenced by the temperature field often appears in biological oscillator ensembles. In this paper, we propose a generalized Kuramot…