\(QS10_{11}^{(0?)}\)
Description
Phase Portrait
LC^C.jpeg)
Topological Invariants
| TCSP | Fin Sep | Inf Sep |
|---|---|---|
| \(10\) | \(4411\) | \(221221\) |
Example
The quadratic differential system
\[\begin{cases} \dot{x} = ? \\ \dot{y} = ? \end{cases}\]
This phase portrait is conjectured not to exist. If you have an example of this please report to contact.
The phase portrait appears in the following papers
- With name \(Fig 5.207 S^2_{10,11}\) in {J. C. Artés, J. Llibre and A. C. Rezende}, Structurally unstable quadratic vector fields of codimension one, Birkhäuser/Springer, Cham, 2018, vi+267 pp.Note (for name \(Fig 5.207 S^2_{10,11}\)): The system has limit cycles with distribution \((1,0)\).
Neighbours of Codimension 1
- Through the border \(QS10_{3}^{(1)}\), by means of a bifurcation of type \(D\), we reach the neighbor \(QS10_{4}^{(0)}\).
Comments
conjectured empty