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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin


Author: Ittai Kan
Journal: Bull. Amer. Math. Soc. 31 (1994), 68-74
MSC: Primary 58F12; Secondary 58F30
MathSciNet review: 1254075
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Abstract: 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.


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DOI: http://dx.doi.org/10.1090/S0273-0979-1994-00507-5
PII: S 0273-0979(1994)00507-5
Article copyright: © Copyright 1994 American Mathematical Society