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arXiv · 2303.08539

Topological transitivity of Kan-type partially hyperbolic diffeomorphisms

Mingyang Xia
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Abstract

We present the topological transitivity of a class of diffeomorphisms on the thickened torus, including the partially hyperbolic example introduced by Ittai Kan in 1994, which is well known for the first systems with the intermingled basins phenomenon.

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Mingyang Xia. 2023-03-15. Topological transitivity of Kan-type partially hyperbolic diffeomorphisms. https://doi.org/10.3934/dcds.2023117

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