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arXiv · 1907.02450

On inverse shadowing

Chris Good·Joel Mitchell·Joe Thomas
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Abstract

We give a reformulation of the inverse shadowing property with respect to the class of all pseudo-orbits. This reformulation bears witness to the fact that the property is far stronger than might initially seem. We give some implications of this reformulation, in particular showing that systems with inverse shadowing are not sensitive. Finally we show that, on compact spaces, inverse shadowing is equivalent to a finite version of it.

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Chris Good, Joel Mitchell, Joe Thomas. 2019-07-04. On inverse shadowing. https://doi.org/10.1080/14689367.2020.1739228

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