ON MEASURE EXPANSIVE DIFFEOMORPHISMS

被引：0
|
作者：
Pacifico, M. J. [1 ]
Vieitez, J. L. [2 ]
机构：
[1] Univ Fed Rio de Janeiro, Inst Metemat, BR-21945970 Rio De Janeiro, RJ, Brazil
[2] Univ Republica, Fac Ingn, Inst Matemat, Montevideo 11300, Uruguay
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 02期
关键词：
ENTROPY-EXPANSIVENESS; HOMOCLINIC CLASSES; HOMEOMORPHISMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f : M -> M be a diffeomorphism defined on a compact boundaryless d-dimensional manifold M, d >= 2. In this note we show that diffeomorphisms in a residual subset far from homoclinic tangencies are measure expansive. We also show that surface diffeomorphisms presenting homoclinic tangencies can be C-1-approximated by non-measure expansive diffeomorphisms.
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页码：811 / 819
页数：9
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