\(QS201_{1}^{(6)}\)
Description
Topological configuration of singularities: \(a,[ | , ∅ ];∅,[ | , (0,2) SN3 ]\)
Phase Portrait
Example
The quadratic differential system
\[\begin{cases} \dot{x} = c \, x + g \, x^{2} \\ \dot{y} = l \, x^{2} + 2 \, m \, x \, y \end{cases}\]
with parameters: \(c = 1, \quad g = 1, \quad l = -1, \quad m = \frac{1}{2}\)
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 \(Ric. D19\) 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 \(QS201_{1}^{(6)}\) 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