\(QS3_{1}^{(1)}\)
Description
Phase Portrait
Topological Invariants
| TCSP | Fin Sep | Inf Sep |
|---|---|---|
| \(3\) | \(4220\) | \(11\) |
Example
The quadratic differential system
\[\begin{cases} \dot{x} = y-4 \, x \, y \\ \dot{y} = x^{2}+x \, y-3 \, y^{2}/4+e+d \, y \end{cases}\]
with parameters: \(d = 0.07, \quad e = -0.0152\)
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 \(U^1_{D12}\) 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 \(QS3_{1}^{(0)}\) and \(QS3_{1}^{(0)}\).