Geodesic
Asymptotic period in dynamical systems in metric spaces
Karol Gryszka1
1Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Colloquium Mathematicum, Tome 139 (2015) no. 2, pp. 245-257
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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 $\omega $-limit sets. We also discuss the notion of growth rate of such orbits and describe its properties in an extreme case.
DOI : 10.4064/cm139-2-6
Keywords: introduce notions asymptotic period asymptotically periodic orbits metric spaces study properties these notions their connections omega limit sets discuss notion growth rate orbits describe its properties extreme

Karol Gryszka  1

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
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Karol Gryszka. Asymptotic period in dynamical systems in metric spaces. Colloquium Mathematicum, Tome 139 (2015) no. 2, pp. 245-257. doi: 10.4064/cm139-2-6

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