\(QS8_{5}^{(1)}\)
Description
Phase Portrait
Topological Invariants
| TCSP | Fin Sep | Inf Sep |
|---|---|---|
| \(8\) | \(4420\) | \(31\) |
Example
The quadratic differential system
\[\begin{cases} \dot{x} = -y-(v-b) \, x^{2}/3+(2 \, a+l) \, x \, y+n \, y^{2}+r \, (x+a \, x^{2}+(2 \, v+b) \, x \, y/3-a \, y^{2}) \\ \dot{y} = x+a \, x^{2}+(2 \, v+b) \, x \, y/3-a \, y^{2} \end{cases}\]
with parameters: \(v = -2, \quad a = 1, \quad n = 1, \quad b = -1, \quad l = 0.1, \quad r = 0.0083\)
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 \(U^1_{D6}\) 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 \(QS8_{1}^{(0)}\) and \(QS8_{5}^{(0)}\).