\(QS202_{1}^{(7)}\)
Description
Phase Portrait
Topological Invariants
| TCSP |
|---|
| \(202\) |
Example
The quadratic differential system
\[\begin{cases} \dot{x} = c \, x + g \, x^{2} \\ \dot{y} = -x^{2} + x \, y \end{cases}\]
with parameters: \(c = 0, \quad g = 1\)
has the following phase portrait done with P4. If you want, you may download the P4 file here.
The phase portrait appears in the following papers
- With name \(Ric. D20\) in {J. C. Artés, J. Llibre, D. Schlomiuk and N. Vulpe}, Global analysis of Riccati quadratic differential systems, Internat. J. Bifur. Chaos Appl. Sci. Engrg. { bf 34} (2024), no.~1, Paper No. 2450004, 46 pp.; MR4701478
- With name \(QS202_{1}^{(7)}\) in {J. C. Artés and N. Vulpe}, The codimension of the phase portraits for degenerate quadratic differential systems, Bul. Acad. c Stiin c te Repub. Mold. Mat. { bf 2024}, no.~3(106), 29--53; MR4967334
Neighbours of Codimension 8
- Through the border \(QS196_{1}^{(8)}\), by means of a bifurcation of type \(deg\), we reach the neighbor \(QS202_{1}^{(7)}\).
- Through the border \(QS205_{1}^{(8)}\), by means of a bifurcation of type \(deg\), we reach the neighbor \(QS202_{1}^{(7)}\).