Synchronization as Aggregation: Cluster Kinetics of Pulse-Coupled Oscillators
Adaptation and Self-Organizing Systems
2015-08-12 v1
Abstract
We consider models of identical pulse-coupled oscillators with global interactions. Previous work showed that under certain conditions such systems always end up in sync, but did not quantify how small clusters of synchronized oscillators progressively coalesce into larger ones. Using tools from the study of aggregation phenomena, we obtain exact results for the time-dependent distribution of cluster sizes as the system evolves from disorder to synchrony.
Cite
@article{arxiv.1501.04115,
title = {Synchronization as Aggregation: Cluster Kinetics of Pulse-Coupled Oscillators},
author = {Kevin P. O'Keeffe and Pavel L. Krapivsky and Steven H. Strogatz},
journal= {arXiv preprint arXiv:1501.04115},
year = {2015}
}
Comments
Supplemental Materials available on request