LSYMBOLIC EXTENSIONS AND PARTIALLY HYPERBOLIC DIFFEOMORPHISMS

被引：27

作者：

Diaz, Lorenzo J. ^{[1
]}

Fisher, Todd ^{[2
]}

机构：

[1] Dept Matemat, BR-22453900 Rio De Janeiro, Brazil

[2] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 29卷 / 04期

关键词：

Symbolic extensions; partially hyperbolic; robust transitivity; dominated splitting; homoclinic tangency; HOMOCLINIC TANGENCIES; SRB MEASURES; ENTROPY; STABILITY; SYSTEMS;

D O I：

10.3934/dcds.2011.29.1419

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show there are no symbolic extensions C-1-generically among diffeomorphisms containing nonhyperbolic robustly transitive sets with a center indecomposable bundle of dimension at least 2. Similarly, C-1-generically homoclinic classes with a center indecomposable bundle of dimension at least 2 that satisfy a technical assumption called index adaptation have no symbolic extensions.

引用

页码：1419 / 1441

页数：23

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