Hausdorff dimension for non-hyperbolic repellers II: Da diffeomorphisms

被引：0
|
作者：
Horita, V
Viana, M
机构：
[1] UNESP, IBILCE, Dept Matemat, BR-15055 S J Rio Preto, SP, Brazil
[2] IMPA, BR-22460320 Rio De Janeiro, Brazil
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2005年 / 13卷 / 05期
关键词：
dimension theory; non-uniform hyperbolicity; repeller;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study non-hyperbolic repellers of diffeomorph isms derived from transitive Anosov diffeomorphisms with unstable dimension 2 through a Hopf bifurcation. Using some recent abstract results about non-uniformly expanding maps with holes, by ourselves and by Dysman, we show that the Hausdorff dimension and the limit capacity (box dimension) of the repeller are strictly less than the dimension of the ambient manifold.
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页码：1125 / 1152
页数：28
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