Generalized hyperbolic sets on Banach spaces

被引：0
|
作者：
K. Lee
A. Rojas
机构：
[1] Chungnam National University,Instituto de Matemática
[2] Universidade Federal do Rio de Janeiro,undefined
来源：
Acta Mathematica Hungarica | 2022年 / 168卷
关键词：
hyperbolic set; Banach space; invariant set; primary 37B05; secondary 54G99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that every compact invariant set close to a generalized hyperbolic fixed point of a diffeomorphism of a Banach space is generalized hyperbolic. Therefore, infinite weakly transitive shifted-hyperbolic sets do exist in every neighborhood of a shifted-hyperbolic fixed point.
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页码：63 / 77
页数：14
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