# zbMATH — the first resource for mathematics

Dynamical systems with the asymptotic average shadowing property. (Chinese. English summary) Zbl 1150.54037
Summary: For a continuous map $$f$$ from a compact metric space to itself, it is shown that (1) $$f$$ has the asymptotic shadowing property, AASP for short, if and only if the same holds for the shift map on its inverse limit space; (2) if $$f$$ has the AASP and is equicontinuous, then $$f$$ is a minimal homeomorphism. Further, invariance of the AASP under topological conjugation is investigated.

##### MSC:
 54H20 Topological dynamics (MSC2010) 37B99 Topological dynamics