Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin
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- by Ittai Kan PDF
- Bull. Amer. Math. Soc. 31 (1994), 68-74 Request permission
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.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 31 (1994), 68-74
- MSC: Primary 58F12; Secondary 58F30
- DOI: https://doi.org/10.1090/S0273-0979-1994-00507-5
- MathSciNet review: 1254075