17 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
6 papers
Phase holonomy underlies puzzling temporal patterns in Kuramoto models with two sub-populations
Aladin Crnkić, Vladimir Jaćimović
We present a geometric investigation of curious dynamical behaviors previously reported in Kuramoto models with two sub-populations. Our study demonstrates that chimeras and travel…
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…
Möbius group actions in the solvable chimera model
Vladimir Jaćimović, Aladin Crnkić
We study actions of Möbius group on two sub-populations in the solvable chimera model proposed by Abrams et al. Dynamics of global variables are given by two coupled Watanabe-Strog…
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…