A moment based approach to the dynamical solution of the Kuramoto model
统计力学
2009-10-30 v1 无序系统与神经网络
摘要
We examine the dynamics of the Kuramoto model with a new analytical approach. By defining an appropriate set of moments the dynamical equations can be exactly closed. We discuss some applications of the formalism like the existence of an effective Hamiltonian for the dynamics. We also show how this approach can be used to numerically investigate the dynamical behavior of the model without finite size effects.
引用
@article{arxiv.cond-mat/9711299,
title = {A moment based approach to the dynamical solution of the Kuramoto model},
author = {C. J. Perez and F. Ritort},
journal= {arXiv preprint arXiv:cond-mat/9711299},
year = {2009}
}
备注
6 pages, 5 figures, Revtex file, to appear in J. Phys. A