\(QS38_{1}^{(1I)}\)
Description
Topological configuration of singularities: \(s,a,sn;S,N,N\)
Phase Portrait
Topological Invariants
| TCSP | Fin Sep | Inf Sep |
| \(38\) | \(541\) | \(411110\) |
Example
The quadratic differential system
\[\begin{cases} \dot{x} = ? \\ \dot{y} = ? \end{cases}\]
This phase portrait has already been proved not to exist. Anyway, if you have an example of this please report to contact.
The phase portrait appears in the following papers
- With name \(U^1_I 1\) in {J. C. Artés, R. D. S. Oliveira and A. C. Rezende}, Structurally unstable quadratic vector fields of codimension two: families possessing either a cusp point or two finite saddle-nodes, J. Dynam. Differential Equations { bf 33} (2021), no.~4, 1779--1821; MR4333383
- With name \(Fig 5.17 U^1_{I,1}\) 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.
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