Shadowing, chain transitive sets with nonempty interior and attractor boundaries
Dynamical Systems
2026-01-13 v1
Abstract
We examine certain phenomena in -dynamics from a viewpoint of shadowing and improve a known result on hyperbolic sets. We also review a result on the stability of attractor boundaries from the same viewpoint and derive several additional results.
Cite
@article{arxiv.2601.06523,
title = {Shadowing, chain transitive sets with nonempty interior and attractor boundaries},
author = {Noriaki Kawaguchi},
journal= {arXiv preprint arXiv:2601.06523},
year = {2026}
}
Comments
15 pages