Geodesic
Shadowing property for nonautonomous dynamical systems
Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 1, pp. 50-61

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{CMFD_2023_69_1_a3,
     author = {M. L. Blank},
     title = {Shadowing property for nonautonomous dynamical systems},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {50--61},
     publisher = {mathdoc},
     volume = {69},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2023_69_1_a3/}
}
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M. L. Blank. Shadowing property for nonautonomous dynamical systems. Contemporary Mathematics. Fundamental Directions, Contemporary Mathematics. Fundamental Directions, Tome 69 (2023) no. 1, pp. 50-61. http://geodesic.mathdoc.fr/item/CMFD_2023_69_1_a3/