<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

On asymptotically periodic-like motions in flows

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On asymptotically periodic-like motions in flows"}

We study three properties associated to the recurrence of orbits in flows: asymptotic periodicity, positive asymptotic periodicity and G-asymptotic...

On asymptotically periodic-like motions in flows

Data publikacji: 23 lut 2019

Zakres stron: 45 - 57

Otrzymano: 18 sty 2018

Przyjęty: 24 kwi 2018

DOI: https://doi.org/10.2478/aupcsm-2018-0005

Słowa kluczowe
and phrases: periodicity, asymptotic periodicity, stability

© 2018 Karol Gryszka, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On asymptotically periodic-like motions in flows

Data publikacji: 23 lut 2019

Zakres stron: 45 - 57

Otrzymano: 18 sty 2018

Przyjęty: 24 kwi 2018

DOI: https://doi.org/10.2478/aupcsm-2018-0005

Słowa kluczoweand phrases: periodicity, asymptotic periodicity, stability

© 2018 Karol Gryszka, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Słowa kluczowe
and phrases: periodicity, asymptotic periodicity, stability