Rational limit cycles of Abel differential equations
We study the number of rational limit cycles of the Abel equation x A(t)x 3 + B(t)x 2 , where A(t) and B(t) are real trigonometric polynomials. We show that this number is at most the degree of A(t) plus one.
Elmentve itt :
| Szerzők: | |
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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: | Dinamikai rendszer, Differenciálegyenlet - ordinárius, Abel-egyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2023.1.47 |
| Online Access: | http://acta.bibl.u-szeged.hu/88790 |
| Tartalmi kivonat: | We study the number of rational limit cycles of the Abel equation x A(t)x 3 + B(t)x 2 , where A(t) and B(t) are real trigonometric polynomials. We show that this number is at most the degree of A(t) plus one. |
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| Terjedelem/Fizikai jellemzők: | 13 |
| ISSN: | 1417-3875 |