\(QS10_{2}^{(1)}\)
Description
Phase Portrait
Topological Invariants
| TCSP | Fin Sep | Inf Sep |
|---|---|---|
| \(10\) | \(4421\) | \(212110\) |
Example
The quadratic differential system
\[\begin{cases} \dot{x} = y+x^{2}+4 \, x \, y \\ \dot{y} = e^{2} \, x/5-e \, y+x^{2}-4 \, x \, y+3 \, y^{2}+a \, (y+x^{2}+4 \, x \, y) \end{cases}\]
with parameters: \(e = 0.05, \quad a = -0.409\)
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 \(U^1_{D41}\) 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 \(QS10_{5}^{(0)}\) and \(QS10_{6}^{(0)}\).