Desynchronization waves and localized instabilities in oscillator arrays
无序系统与神经网络
2009-11-10 v1 统计力学
摘要
We consider a ring of identical or near identical coupled periodic oscillators in which the connections have randomly heterogeneous strength. We use the master stability function method to determine the possible patterns at the desynchronization transition that occurs as the coupling strengths are increased. We demonstrate Anderson localization of the modes of instability, and show that such localized instability generates waves of desynchronization that spread to the whole array. Similar results should apply to other networks with regular topology and heterogeneous connection strengths.
引用
@article{arxiv.cond-mat/0404177,
title = {Desynchronization waves and localized instabilities in oscillator arrays},
author = {Juan G. Restrepo and Edward Ott and Brian R. Hunt},
journal= {arXiv preprint arXiv:cond-mat/0404177},
year = {2009}
}