Product Anosov diffeomorphisms and the two-sided limit shadowing property
Dynamical Systems
2024-10-22 v1
Abstract
We characterize product Anosov diffeomorphisms in terms of the two-sided limit shadowing property. It is proved that an Anosov diffeomorphism is a product Anosov diffeomorphism if and only if any lift to the universal covering has the unique two-sided limit shadowing property. Then we introduce two maps in a suitable Banach space such that fixed points of these maps are related with shadowing orbits on the universal covering.
Keywords
Cite
@article{arxiv.1509.04922,
title = {Product Anosov diffeomorphisms and the two-sided limit shadowing property},
author = {Bernardo Carvalho},
journal= {arXiv preprint arXiv:1509.04922},
year = {2024}
}