Coarse-graining the dynamics of coupled oscillators
Adaptation and Self-Organizing Systems
2007-05-23 v3
Abstract
We present an equation-free computational approach to the study of the coarse-grained dynamics of {\it finite} assemblies of {\it non-identical} coupled oscillators at and near full synchronization. We use coarse-grained observables which account for the (rapidly developing) correlations between phase angles and oscillator natural frequencies. Exploiting short bursts of appropriately initialized detailed simulations, we circumvent the derivation of closures for the long-term dynamics of the assembly statistics.
Cite
@article{arxiv.nlin/0509022,
title = {Coarse-graining the dynamics of coupled oscillators},
author = {Sung Joon Moon and R. Ghanem and I. G. Kevrekidis},
journal= {arXiv preprint arXiv:nlin/0509022},
year = {2007}
}
Comments
accepted for publication in Phys. Rev. Lett