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: | |
|---|---|
| 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 |
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| 024 | 7 | |a 10.14232/ejqtde.2023.1.47 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Bravo José Luis | |
| 245 | 1 | 0 | |a Rational limit cycles of Abel differential equations |h [elektronikus dokumentum] / |c Bravo José Luis |
| 260 | |c 2023 | ||
| 300 | |a 13 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Dinamikai rendszer, Differenciálegyenlet - ordinárius, Abel-egyenlet | ||
| 700 | 0 | 1 | |a Calderón Luis Ángel |e aut |
| 700 | 0 | 1 | |a Ojeda Ignacio |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/88790/1/ejqtde_2023_047.pdf |z Dokumentum-elérés |