Abstract
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.
Language: English
Page range: 45 - 57
Submitted on: Jan 18, 2018
Accepted on: Apr 24, 2018
Published on: Feb 23, 2019
Published by: Pedagogical University of Cracow
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2019 Karol Gryszka, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.