82 citations · 552 across the 32 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.NA2021
A Numerical Method for a Nonlocal Diffusion Equation with Additive Noise
Georgi Medvedev, Gideon Simpson
We consider a nonlocal evolution equation representing the continuum limit of a large ensemble of interacting particles on graphs forced by noise. The two principle ingredients of…
math.DS2021
Stability and bifurcation of mixing in the Kuramoto model with inertia
Hayato Chiba, Georgi S. Medvedev
The Kuramoto model of coupled second order damped oscillators on convergent sequences of graphs is analyzed in this work. The oscillators in this model have random intrinsic freque…
nlin.CD2021★ 8 cited
Chimeras unfolded
Georgi S. Medvedev, Matthew S. Mizuhara
The instability of mixing in the Kuramoto model of coupled phase oscillators is the key to understanding a range of spatiotemporal patterns, which feature prominently in collective…