\(QS7_{7}^{(2)}\)
Description
Phase Portrait
Topological Invariants
| TCSP | Fin Sep | Inf Sep |
|---|---|---|
| \(7\) | \(4321\) | \(1111\) |
Example
The quadratic differential system
\[\begin{cases} \dot{x} = (y-x) \, (1-2 \, x) \\ \dot{y} = y \, (2-(5 \, g-4)/(g-1) \, x-g \, y) \end{cases}\]
with parameters: \(g = \frac{6}{7}\)
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 \(BD23\) in {J. C. Artés}, Systems of class BD, {Preprint} (2026).
- With name \(3,9(b2)\) in {D. Schlomiuk and N. Vulpe}, Global classification of the planar Lotka--Volterra differential systems according to their configurations of invariant straight lines, emph{J. Fixed Point Theory Appl.}, { bf 8}, no. 1 (2010), 177--245.
- With name \(Fig2.b\) in {J. Llibre and C. Valls}, Global dynamics of a system coming from the study of a static star, Differ. Equ. Dyn. Syst. { bf 32} (2024), no.~2, 607--617; MR4721747
- With names \(Fig 2B V-VI\) and \(Fig 2D XII-XIII\) in {J. W. Reyn}, Phase portraits of a quadratic system of differential equations occurring frequently in applications, emph{Nieuw Arch. Wisk. (4)}, textbf{5}, no. 2 (1987), 107--151.