含奇点流的受控分裂
动力系统
2015-03-19 v8 经典分析与常微分方程
摘要
我们给出了 流 的紧不变子集上不变分裂成为受控分裂的充分条件。特别地,我们降低了获得截面双曲性与双曲性的要求。
引用
@article{arxiv.1103.5637,
title = {Dominated Splittings for Flows with singularities},
author = {Vitor Araujo and Alexander Arbieto and Luciana Salgado},
journal= {arXiv preprint arXiv:1103.5637},
year = {2015}
}
备注
15 pages, 4 figures; streamlined presentation; statement and proof of main theorem corrected; included new application to obtain hyperbolicity for three-dimensional flows; some corrections suggested by the referee