The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities
We consider planar polynomial systems of ordinary differential equations of the form x˙=x+Pn(x, y), y˙=y+Qn(x, y), where Pn(x, y), Qn(x, y) are homogeneous polynomials of degreen. We study the algebraic and non-algebraic invariant curves of these systems with emphasis on limit cycles.
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2021
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2021.1.51 |
| Online Access: | http://acta.bibl.u-szeged.hu/73703 |
| LEADER | 01086nas a2200217 i 4500 | ||
|---|---|---|---|
| 001 | acta73703 | ||
| 005 | 20211111073213.0 | ||
| 008 | 211111s2021 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2021.1.51 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Cheresiz Vladimir M. | |
| 245 | 1 | 4 | |a The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities |h [elektronikus dokumentum] / |c Cheresiz Vladimir M. |
| 260 | |c 2021 | ||
| 300 | |a 12 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a We consider planar polynomial systems of ordinary differential equations of the form x˙=x+Pn(x, y), y˙=y+Qn(x, y), where Pn(x, y), Qn(x, y) are homogeneous polynomials of degreen. We study the algebraic and non-algebraic invariant curves of these systems with emphasis on limit cycles. | |
| 695 | |a Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Volokitin Evgenii P. |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/73703/1/ejqtde_2021_051.pdf |z Dokumentum-elérés |