Shadowing as a Structural Property of the Space of Dynamical Systems
Dynamical Systems
2021-06-30 v2
Abstract
We demonstrate that there is a large class of compact metric spaces for which the shadowing property can be characterized as a structural property of the space of dynamical systems. We also demonstrate for this class of spaces, that in order to determine whether a system has shadowing, it is sufficient to check that continuously generated pseudo-orbits can be shadowed.
Keywords
Cite
@article{arxiv.2106.01957,
title = {Shadowing as a Structural Property of the Space of Dynamical Systems},
author = {Jonathan Meddaugh},
journal= {arXiv preprint arXiv:2106.01957},
year = {2021}
}