\(QS74_{7}^{(1)}\)
Description
Phase Portrait
Topological Invariants
| TCSP | Fin Sep | Inf Sep |
|---|---|---|
| \(74\) | \(431\) | \(311010\) |
Example
The quadratic differential system
\[\begin{cases} \dot{x} = y+x^{2}+x \, y \\ \dot{y} = d+e \, y+x^{2}+2 \, x \, y \end{cases}\]
with parameters: \(d = -0.000001, \quad e = -0.1\)
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 \(U^1_{C24}\) 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.
Missed in:
- {X. Huang}, Qualitative analysis or certain nonlinear differential equations, {Ph.D. U. Delft}, (1996).
Bifurcations in codimension 0
- Bifurcation interface between the codimension 0 portrait \(QS10_{10}^{(0)}\) and \(QS5_{4}^{(0)}\).