OPEN SETS OF DIFFEOMORPHISMS HAVING 2 ATTRACTORS, EACH WITH AN EVERYWHERE DENSE BASIN

被引：92

作者：

KAN, I

机构：

来源：

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 31卷 / 01期

关键词：

D O I：

10.1090/S0273-0979-1994-00507-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We announce the discovery of a diffeomorphism of a three-dimensional manifold with boundary which has two disjoint attractors. Each attractor attracts a set of positive 3-dimensional Lebesgue measure whose points of Lebesgue density are dense in the whole manifold. This situation is stable under small perturbations.

引用

页码：68 / 74

页数：7

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