Centers of cubic differential systems with the line at infinity of maximal multiplicity
We classify all cubic differential systems with a center-focus critical point and the line at infinity of maximal multiplicity. It is proved that the critical point is of the center type if and only if the divergence of the vector field associated to differential system vanishes.
Saved in:
| Main Author: | Alexandru Șubă |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
"Ion Creanga" State Pedagogical University
2023-09-01
|
| Series: | Acta et Commentationes: Ştiinţe Exacte şi ale Naturii |
| Subjects: | |
| Online Access: | https://revistaust.upsc.md/index.php/acta_exacte/article/view/885 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
The problem of the center for cubic differential systems with two affine non-parallel invariant straight lines of total multiplicity three
by: Alexandru Șubă
Published: (2025-01-01) -
CENTER CONDITIONS FOR A CUBIC DIFFERENTIAL SYSTEM WITH ONE INVARIANT STRAIGHT LINE
by: Dumitru COZMA, et al.
Published: (2020-01-01) -
Quartic differential systems with a non-degenerate monodromic critical point and multiple line at infinity
by: Alexandru Șubă, et al.
Published: (2024-01-01) -
First integrals in a cubic differential system with one invariant straight line and one invariant cubic
by: Dumitru Cozma
Published: (2024-01-01) -
Center conditions for a cubic system with two homogeneous invariant straight lines and exponential factors
by: Dumitru Cozma
Published: (2023-09-01)