17 citations · 17 across the 2 of their papers we have counts for
3 papers
nlin.AO2021★ 17 cited
On synchronization in Kuramoto models on spheres
Aladin Crnkić, Vladimir Jaćimović, Marijan Marković
We analyze two classes of Kuramoto models on spheres that have been introduced in previous studies. Our analysis is restricted to ensembles of identical oscillators with the global…
nlin.CD2019
Collective dynamics of phase-repulsive oscillators solves graph coloring problem
Aladin Crnkić, Janez Povh, Vladimir Jaćimović +1
We show how to couple phase-oscillators on a graph so that collective dynamics "searches" for the coloring of that graph as it relaxes toward the dynamical equilibrium. This transl…
nlin.AO2019
Ott-Antonsen reduction for the non-Abelian Kuramoto model on the 3-sphere
Vladimir Jacimovic, Ben Niu
We are interested in low-dimensional dynamics in an ensemble of coupled nonidentical generalized oscillators on the 3-sphere. The system of governing equations for such an ensemble…