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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
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.
Citation:
M. L. Blank, “Shadowing property for nonautonomous dynamical systems”, CMFD, 69, no. 1, PFUR, M., 2023, 50–61
Linking options:
https://www.mathnet.ru/eng/cmfd487 https://www.mathnet.ru/eng/cmfd/v69/i1/p50
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Statistics & downloads: |
Abstract page: | 79 | Full-text PDF : | 37 | References: | 21 |
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