DISCONTINUITY OF THE HAUSDORFF DIMENSION OF HYPERBOLIC SETS

被引：0

作者：

BONATTI, C

DIAZ, LJ

VIANA, M

机构：

[1] PONTIFICIA UNIV CATOLICA RIO DE JANEIRO,DEPT MATEMAT,BR-22453900 RIO JANEIRO,BRAZIL

[2] IMPA,BR-22460010 RIO JANEIRO,BRAZIL

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1995年 / 320卷 / 06期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the Hausdorff dimension of a hyperbolic basic set may vary discontinuously with the dynamics if the dimension of the ambient manifold is bigger than two. This loss of continuity is associated to the occurrence of intersections between the stable (resp. unstable) manifold and the strong unstable (resp. strong stable) manifold of some periodic point.

引用

页码：713 / 718

页数：6

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