Topological transitivity of Kan-type partially hyperbolic diffeomorphisms
Dynamical Systems
2023-10-17 v2
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.
Cite
@article{arxiv.2303.08539,
title = {Topological transitivity of Kan-type partially hyperbolic diffeomorphisms},
author = {Mingyang Xia},
journal= {arXiv preprint arXiv:2303.08539},
year = {2023}
}
Comments
Final version, to appear in Discrete Contin. Dyn. Syst