17 citations · 40 across the 4 of their papers we have counts for
4 papers
Interpolating Rotations with Non-abelian Kuramoto Model on the 3-Sphere
Zinaid Kapić, Aladin Crnkić
The paper presents a novel method for interpolating rotations based on the non-Abelian Kuramoto model on sphere S3. The algorithm, introduced in this paper, finds the shortest and…
A new dynamical model for solving rotation averaging problem
Zinaid Kapić, Aladin Crnkić, Vladimir Jaćimović +1
The paper analyzes the rotation averaging problem as a minimization problem for a potential function of the corresponding gradient system. This dynamical system is one generalizati…
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…
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…