\(QS10_{18}^{(1)}\)
Description
Phase Portrait
Topological Invariants
| TCSP | Fin Sep | Inf Sep |
|---|---|---|
| \(10\) | \(4421\) | \(221101\) |
Example
The quadratic differential system
\[\begin{cases} \dot{x} = y+4 \, x \, y \\ \dot{y} = x^{2}-4 \, x \, y+3 \, y^{2}+d+e \, y \end{cases}\]
with parameters: \(e = 0.1, \quad d = -0.000001\)
has the following phase portrait done with P4. If you want, you may download the P4 file here. Since the image is not clear enough, we have added a ZOOM of it.
The phase portrait appears in the following papers
- With name \(U^1_{D57}\) 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.
Bifurcations in codimension 0
- Bifurcation interface between the codimension 0 portrait \(QS10_{9}^{(0)}\) and \(QS10_{12}^{(0)}\).