混沌元件网络平均场动力学评述
chao-dyn
2015-06-24 v1 混沌动力学
摘要
讨论了全局耦合动力系统平均场的涨落。隐含相干性的起源与自洽 Perron-Frobenius 方程不动点解的不稳定性有关。借助直接模拟和 Perron-Frobenius 方程，重新考察了全局耦合帐篷映射的集体动力学。利用平均场回返映射、Lyapunov 谱以及新引入的 Perron-Frobenius 方程 Lyapunov 指数，阐明了单带态中的集体混沌和双带态中对初始条件的分叉。讨论了集体动力学的未来问题。
引用
@article{arxiv.chao-dyn/9407002,
title = {Remarks on the mean field dynamics of networks of chaotic elements},
author = {Kunihiko Kaneko},
journal= {arXiv preprint arXiv:chao-dyn/9407002},
year = {2015}
}
备注
15 pages; original has 15 figures which are not included here. Submitted to the special issue of Physica D as the proceedings for "Gran Finale"