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Contemporary Mathematics. Fundamental Directions, 2023, Volume 69, Issue 1, Pages 50–61
DOI: https://doi.org/10.22363/2413-3639-2023-69-1-50-61 (Mi cmfd487) 		 
Shadowing property for nonautonomous dynamical systems

M. L. Blankab

a Institute for Information Transmission Problems of the RAS (Kharkevich Institute), Moscow, Russia
b HSE University, Moscow, Russia
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DOI: https://doi.org/10.22363/2413-3639-2023-69-1-50-61
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.
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
Citation: M. L. Blank, “Shadowing property for nonautonomous dynamical systems”, CMFD, 69, no. 1, PFUR, M., 2023, 50–61
Citation in format AMSBIB
\Bibitem{Bla23}
\by M.~L.~Blank
\paper Shadowing property for nonautonomous dynamical systems
\serial CMFD
\yr 2023
\vol 69
\issue 1
\pages 50--61
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd487}
\crossref{https://doi.org/10.22363/2413-3639-2023-69-1-50-61}
\edn{https://elibrary.ru/ERJRZY}
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