\(QS75_{12}^{(2)}\)

Description

Topological configuration of singularities: \(s,a,a;(1,1)SN,(0,2)SN\)

Phase Portrait

Phase Portrait Graphic Design

Topological Invariants

TCSP	Fin Sep	Inf Sep
\(75\)	\(431\)	\(3120\)

Example

The quadratic differential system

\[\begin{cases} \dot{x} = P_x(x,y) \\ \dot{y} = P_y(x,y) \end{cases}\]

has the following phase portrait done with P4.

The phase portrait appears in the following papers

With name \(U^2_{BC,15}\) in {J. C. Artés}, Systems of class BC2, {Preprint} (2026).

Missed in:

{J. W. Reyn and X. H. Huang}, Separatrix configurations of quadratic systems with finite multiplicity three and a $M^0_{1,1$ type of critical point at infinity}, Report U. Delft (1997?).

Comments

Numerically found with a Rotated Vector Field from C31