Shadowing property for nonautonomous dynamical systems
- Authors: Blank M.L.1,2
-
Affiliations:
- Institute for Information Transmission Problems of the RAS (Kharkevich Institute)
- HSE University
- Issue: Vol 69, No 1 (2023): Differential and Functional Differential Equations
- Pages: 50-61
- Section: Articles
- URL: https://journals.rudn.ru/CMFD/article/view/34593
- DOI: https://doi.org/10.22363/2413-3639-2023-69-1-50-61
- EDN: https://elibrary.ru/ERJRZY
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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
About the authors
M. L. Blank
Institute for Information Transmission Problems of the RAS (Kharkevich Institute); HSE University
Author for correspondence.
Email: blank@iitp.ru
Moscow, Russia
References
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