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arXiv · 2106.01957

Shadowing as a Structural Property of the Space of Dynamical Systems

Jonathan Meddaugh
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Abstract

We demonstrate that there is a large class of compact metric spaces for which the shadowing property can be characterized as a structural property of the space of dynamical systems. We also demonstrate for this class of spaces, that in order to determine whether a system has shadowing, it is sufficient to check that continuously generated pseudo-orbits can be shadowed.

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Jonathan Meddaugh. 2021-06-03. Shadowing as a Structural Property of the Space of Dynamical Systems. https://arxiv.org/abs/2106.01957

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