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 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 12 |
| ISSN: | 1417-3875 |