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 periodicity. We determine which implications between these notions hold and which do not. We also show how these notions are related to Lyapunov stabili...
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| Format: | Article |
| Language: | deu |
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Sciendo
2018-05-01
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| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| Subjects: | |
| Online Access: | http://studmath.up.krakow.pl/index.php/studmath/article/view/287 |
| _version_ | 1818765165135396864 |
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| author | Karol Gryszka |
| author_facet | Karol Gryszka |
| author_sort | Karol Gryszka |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-18T08:13:45Z |
| format | Article |
| id | doaj.art-fde07d186a6746e38610d0cf9c3f2298 |
| institution | Directory Open Access Journal |
| issn | 2081-545X 2300-133X |
| language | deu |
| last_indexed | 2024-12-18T08:13:45Z |
| publishDate | 2018-05-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| spelling | doaj.art-fde07d186a6746e38610d0cf9c3f22982022-12-21T21:14:50ZdeuSciendoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica2081-545X2300-133X2018-05-0117455710.2478/aupcsm-2018-0005On asymptotically periodic-like motions in flowsKarol Gryszka0Institute of Mathematics, Pedagogical University of Cracow, PolandWe 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.http://studmath.up.krakow.pl/index.php/studmath/article/view/287periodicityasymptotic periodicitystability. |
| spellingShingle | Karol Gryszka On asymptotically periodic-like motions in flows Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica periodicity asymptotic periodicity stability. |
| title | On asymptotically periodic-like motions in flows |
| title_full | On asymptotically periodic-like motions in flows |
| title_fullStr | On asymptotically periodic-like motions in flows |
| title_full_unstemmed | On asymptotically periodic-like motions in flows |
| title_short | On asymptotically periodic-like motions in flows |
| title_sort | on asymptotically periodic like motions in flows |
| topic | periodicity asymptotic periodicity stability. |
| url | http://studmath.up.krakow.pl/index.php/studmath/article/view/287 |
| work_keys_str_mv | AT karolgryszka onasymptoticallyperiodiclikemotionsinflows |