About this article
Published Online: Feb 23, 2019
Page range: 45 - 57
Received: Jan 18, 2018
Accepted: Apr 24, 2018
DOI: https://doi.org/10.2478/aupcsm-2018-0005
Keywords
© 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.