Article Contents
Article Contents

# Pseudo-orbit shadowing in the $C^1$ topology

• We prove that the shadowing property does not hold for diffeomorphisms in an open and dense subset of the set of $C^1$-robustly non-hyperbolic transitive diffeomorphisms (i.e., diffeomorphisms with a $C^1$-neighborhood consisting of non-hyperbolic transitive diffeomorphisms).
Mathematics Subject Classification: Primary: 37C20, 37C25; Secondary: 37D30.

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