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arXiv · 1603.03803

Many intermingled basins in dimension 3

Christian Bonatti·Rafael Potrie
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Abstract

We construct a diffeomorphism of $\mathbb{T}^3$ admitting any finite or countable number of physical measures with intermingled basins. The examples are partially hyperbolic with splitting $T\mathbb{T}^3 = E^{cs} \oplus E^u$ and can be made volume hyperbolic and topologically mixing.

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Christian Bonatti, Rafael Potrie. 2016-03-11. Many intermingled basins in dimension 3. https://arxiv.org/abs/1603.03803

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