On inverse shadowing
Dynamical Systems
2020-03-11 v2
Abstract
We give a reformulation of the inverse shadowing property with respect to the class of all pseudo-orbits. This reformulation bears witness to the fact that the property is far stronger than might initially seem. We give some implications of this reformulation, in particular showing that systems with inverse shadowing are not sensitive. Finally we show that, on compact spaces, inverse shadowing is equivalent to a finite version of it.
Cite
@article{arxiv.1907.02450,
title = {On inverse shadowing},
author = {Chris Good and Joel Mitchell and Joe Thomas},
journal= {arXiv preprint arXiv:1907.02450},
year = {2020}
}
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8 Pages