Dynamically incoherent surface endomorphisms
Dynamical Systems
2021-12-14 v2
Abstract
We explicitly construct a dynamically incoherent partially hyperbolic endomorphisms of in the homotopy class of any linear expanding map with integer eigenvalues. These examples exhibit branching of centre curves along countably many circles, and thus exhibit a form of coherence that has not been observed for invertible systems.
Cite
@article{arxiv.2010.13941,
title = {Dynamically incoherent surface endomorphisms},
author = {Layne Hall and Andy Hammerlindl},
journal= {arXiv preprint arXiv:2010.13941},
year = {2021}
}
Comments
18 pages, 6 figures