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Inheritance of the Shadowing Property in Dynamical Semigroups

How the shadowing (pseudo-orbit tracing) property behaves when a single map is replaced by a dynamical semigroup or a non-autonomous sequence of maps: whether shadowing of every generator forces shadowing of the whole semigroup (in general it does not), and how the single-perturbation 'gluing' construction extends to these settings.

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Inheritance of shadowing for dynamical semigroups Michael Blank∗† December 28, 2024 Abstract We

In the theory of dynamical systems the shadowing property says that every approximate ('pseudo') trajectory of a perturbed map is closely traced by a genuine trajectory of the original map - the main…