Displaying similar documents to “Remarks on some generalizations of asymptotic periodicity in dynamical systems on metric spaces”

Asymptotic period in dynamical systems in metric spaces

Karol Gryszka (2015)

Colloquium Mathematicae

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We introduce the notions of asymptotic period and asymptotically periodic orbits in metric spaces. We study some properties of these notions and their connections with ω-limit sets. We also discuss the notion of growth rate of such orbits and describe its properties in an extreme case.