AN ESTIMATE ON THE HAUSDORFF DIMENSION OF STABLE SETS OF NON-UNIFORMLY HYPERBOLIC HORSESHOES

被引：1

作者：

Matheus, Carlos ^{[1
]}

Palis, Jacob ^{[2
]}

机构：

[1] Univ Paris 13, Sorbonne Paris Cite, CNRS, LAGA,UMR 7539, F-93439 Villetaneuse, France

[2] IMPA, 110 Estrada D Castorina, BR-22460320 Rio De Janeiro, Brazil

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 02期

关键词：

Heteroclinic bifurcations; non-uniformly hyperbolic horseshoes; Hausdorff dimension;

D O I：

10.3934/dcds.2018020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes is strictly smaller than two.

引用

页码：431 / 448

页数：18

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