A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles
In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle. For that class, we draw the possible phase portraits in the Poincaré disk.
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2023
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Algebrai határciklus, Differenciálegyenlet - ordinárius, Dinamikai rendszer |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2023.1.50 |
| Online Access: | http://acta.bibl.u-szeged.hu/88793 |
| Tartalmi kivonat: | In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle. For that class, we draw the possible phase portraits in the Poincaré disk. |
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| Terjedelem/Fizikai jellemzők: | 13 |
| ISSN: | 1417-3875 |