PARTIAL HYPERBOLICITY AND SPECIFICATION

被引：12
|
作者：
Sumi, Naoya [1 ]
Varandas, Paulo [2 ]
Yamamoto, Kenichiro [3 ]
机构：
[1] Kumamoto Univ, Fac Sci, Dept Math, 2-39-1 Kurokami, Kumamoto, Kumamoto 8608555, Japan
[2] Univ Fed Bahia, Dept Matemat, Ademar Barros S-N, BR-20170110 Sulvador, Brazil
[3] Nagaoka Univ Technol, Dept Gen Educ, Niigata 9402188, Japan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 03期
关键词：
Specification; partially hyperbolic; robustly non-hyperbolic transitive; DYNAMICAL-SYSTEMS; TOPOLOGICAL-ENTROPY; GLOBAL VIEW; PROPERTY; DIFFEOMORPHISMS; MANIFOLDS; SETS; CONJECTURE; STABILITY; ROBUST;
D O I：
10.1090/proc/12830
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the specification property for partially hyperbolic dynamical systems. In particular, we show that if a partially hyperbolic diffeomorphism has two saddles with different indices, and the stable manifold of one of these saddles coincides with the strongly stable leaf, then it does not satisfy the specification property.
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页码：1161 / 1170
页数：10
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