Shadowing property for nonautonomous dynamical systems

M. L. Blank<sup>ab

a</sup> Institute for Information Transmission Problems of the RAS (Kharkevich Institute), Moscow, Russia
^b HSE University, Moscow, Russia

Abstract: A new approach based on the analysis of the influence of a single perturbation is proposed as a test for the shadowing property for a broad class of dynamical systems (in particular, non-autonomous) under a variety of perturbations. Applications for several interesting cases are considered in detail.

Keywords: dynamical system, pseudo-trajectory, shadowing, average shadowing.

UDC: 517.938

DOI: 10.22363/2413-3639-2023-69-1-50-61