Shadowing in non-compact spaces with a global attractor

Gonzalo Cousillas

Published 2023-08-10Version 1

This paper studies the behavior of dynamical systems in non-compact spaces, specifically focusing on the concepts of global attractors and shadowing. Let $K$ be a compact global attractor. We show that the shadowing property holds in certain types of dynamical systems in non-compact spaces if and only if $K$ is trivial.