Average shadowing revisited
Dynamical Systems
2023-01-03 v2 Chaotic Dynamics
Abstract
We propose a novel unifying approach to study the shadowing property for a broad class of dynamical systems (in particular, discontinuous and non-invertible) under a variety of perturbations. In distinction to known constructions, our approach is local: it is based on the gluing property which takes into account the shadowing under a single (not necessarily small) perturbation.
Cite
@article{arxiv.2205.10769,
title = {Average shadowing revisited},
author = {Michael Blank},
journal= {arXiv preprint arXiv:2205.10769},
year = {2023}
}
Comments
19 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:2202.13407