Shadowing and inverse shadowing for \(C^1\) endomorphisms (Q2505382)

The authors deal with the shadowing and the inverse shadowing properties for \(C^1\) endomorphisms. They show that there exists two types of ``uniform'' (with respect to \(C^1\) perturbation) shadowing properties near a hyperbolic set of a \(C^1\) endomorphisms. Moreover, the authors prove that a hyperbolic endomorphism has the ``uniform'' (with respect to \(C^1\) perturbation) inverse shadowing property with respect to a class of continuous methods.