截面双曲集上吸引子与排斥子的有限性
动力系统
2013-09-24 v1
摘要
我们获得了截面双曲集在小扰动下可能出现的吸引子和排斥子数量的上界。这一结果扩展了文献 [Sectional-Anosov flows in higher dimensions] 和 [The explosion of singular-hyperbolic attractors] 中的结论。
引用
@article{arxiv.1309.5558,
title = {Finiteness of attractors and repellers on sectional hyperbolic sets},
author = {A. M. López},
journal= {arXiv preprint arXiv:1309.5558},
year = {2013}
}
备注
arXiv admin note: substantial text overlap with arXiv:1308.6597