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

Ittai Kan

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arXiv · math/9407218

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

Ittai Kan

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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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Ittai Kan. 1994-07-01. Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin. https://arxiv.org/abs/math/9407218

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