Average shadowing and gluing property
Dynamical Systems
2023-01-03 v3
Abstract
The purpose of this work is threefold: (i) extend shadowing theory for discontinuous and non-invertible systems, (ii) consider more general classes of perturbations (for example, small only on average), (iii) establish a general theory based on the property that the shadowing holds for the case of a single perturbation. The "gluing" construction used in the analysis of the last property turns out to be the key point of this theory.
Cite
@article{arxiv.2202.13407,
title = {Average shadowing and gluing property},
author = {Michael Blank},
journal= {arXiv preprint arXiv:2202.13407},
year = {2023}
}
Comments
17 pages, 7 figures