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Theory of pseudo-orbit shadowing in dynamical systems

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Abstract

This is a survey of the main results obtained in the theory of pseudo-orbit shadowing in dynamical systems in the first decade of the 21st century. The main directions are shadowing and structural stability, C 1-interiors of sets of systems with the shadowing property, shadowing properties equivalent to the structural stability, and the denseness problem.

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  1. St. Petersburg State University, St. Petersburg, Russia

    S. Yu. Pilyugin

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Pilyugin, S.Y. Theory of pseudo-orbit shadowing in dynamical systems. Diff Equat 47, 1929–1938 (2011). https://doi.org/10.1134/S0012266111130040

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