Synchronization and Stability for Quantum Kuramoto
Dynamical Systems
2018-11-14 v2 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
We present and analyze a nonabelian version of the Kuramoto system, which we call the quantum Kuramoto system. We study the stability of several classes of special solutions to this system, and show that for certain connection topologies the system supports multiple attractors. We also present estimates on the maximal possible heterogeneity in this system that can support an attractor, and study the effect of modifications analogous to phase-lag.
Cite
@article{arxiv.1803.06006,
title = {Synchronization and Stability for Quantum Kuramoto},
author = {Lee DeVille},
journal= {arXiv preprint arXiv:1803.06006},
year = {2018}
}