Preprint of the project: SFB 701: Spectral Structures and Topological Methods in Mathematics - Project A2

Numerical analysis of high-dimensional transfer operators

07-082 Janosch Rieger, Sergei Pilyugin.
Shadowing and inverse shadowing in set-valued dynamical systems. Hyperbolic case


We introduce a new hyperbolicity condition for set-valued dynamical systems and show that this condition implies the shadowing and inverse shadowing properties.