曲面映射的临界点与 Benedicks-Carleson 定理
动力系统
2010-11-19 v4
摘要
我们给出了关于平面上 H\'enon 类族中奇怪吸引子存在的 Benedicks-Carleson 定理的另一种证明。为了避开庞大的归纳论证，我们引入了动力临界点的无归纳显式定义。该论证具有足够的普适性，特别适用于不可逆映射的情形。它自然地提出了耗散曲面映射的动力临界点内禀刻画问题。
引用
@article{arxiv.0704.1599,
title = {Critical points for surface maps and the Benedicks-Carleson theorem},
author = {Hiroki Takahasi},
journal= {arXiv preprint arXiv:0704.1599},
year = {2010}
}
评论
This paper has been withdrawn by the author. 65 pages, no figure, a new section is added which deals with a model problem