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Online veröffentlicht: 23. Feb. 2019
Seitenbereich: 45 - 57
Eingereicht: 18. Jan. 2018
Akzeptiert: 24. Apr. 2018
DOI: https://doi.org/10.2478/aupcsm-2018-0005
Schlüsselwörter
© 2018 Karol Gryszka, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
We study three properties associated to the recurrence of orbits in flows: asymptotic periodicity, positive asymptotic periodicity and G-asymptotic periodicity. We determine which implications between these notions hold and which do not. We also show how these notions are related to Lyapunov stability.