Enhanced synchronization with proportional coupling in Kuramoto oscillator networks
Statistical Mechanics
2026-04-01 v1 Adaptation and Self-Organizing Systems
Abstract
We introduce a novel coupling scheme for maximizing the synchronization of Kuramoto oscillator networks under a fixed coupling budget. We show that by scaling the interaction strength between oscillators according to their frequency detuning, synchronization is enhanced. The coupling scheme induces a change in criticality, driving the system from a continuous phase transition to an explosive transition by changing a single parameter. Our work offers a general route to efficient synchronization in engineered networks and provides insight into the critical behavior of the Kuramoto model.
Keywords
Cite
@article{arxiv.2603.29648,
title = {Enhanced synchronization with proportional coupling in Kuramoto oscillator networks},
author = {Amit Pando and Eran Bernstein and Tomer Hacohen and Nathan Vigne and Hui Cao and Oren Raz and Asher Friesem and Nir Davidson},
journal= {arXiv preprint arXiv:2603.29648},
year = {2026}
}
Comments
Main: 5 pages, 6 figures. Supplemental: 8 pages, 3 figures