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

Authors
KAN I
Citation
I. Kan, OPEN SETS OF DIFFEOMORPHISMS HAVING 2 ATTRACTORS, EACH WITH AN EVERYWHERE DENSE BASIN, Bulletin, new series, of the American Mathematical Society, 31(1), 1994, pp. 68-74
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Bulletin, new series, of the American Mathematical Society → ACNP
ISSN journal
02730979
Volume
31
Issue
1
Year of publication
1994
Pages
68 - 74
Database
ISI
SICI code
0273-0979(1994)31:1<68:OSODH2>2.0.ZU;2-0
Abstract
We announce the discovery of a diffeomorphism of a three-dimensional m anifold with boundary which has two disjoint attractors. Each attracto r attracts a set of positive 3-dimensional Lebesgue measure whose poin ts of Lebesgue density are dense in the whole manifold. This situation is stable under small perturbations.