On the non-robustness of intermingled basins
Dynamical Systems
2016-07-13 v3
Abstract
It is well-known that it is possible to construct a partially hyperbolic diffeomorphism on the 3-torus in a similar way than in Kan's example. It has two hyperbolic physical measures with intermingled basins supported on two embedded tori with Anosov dynamics. A natural question is how robust is the intermingled basins phenomenon for diffeomorphisms defined on boundaryless manifolds? In this work we will show that on the 3-torus the only partially hyperbolic examples having hyperbolic physical measures with intermingled basins are not robust.
Cite
@article{arxiv.1503.07155,
title = {On the non-robustness of intermingled basins},
author = {Raúl Ures and Carlos H. Vásquez},
journal= {arXiv preprint arXiv:1503.07155},
year = {2016}
}