Global phase portraits for the Abel quadratic polynomial differential equations of second kind with $Z_2$-symmetries
We provide normal forms and the global phase portraits on the
Poincaré disk for all Abel quadratic polynomial differential
equations of the second kind with $\mathbb Z_2$-symmetries.
Abel polynomial differential system of the second kind, vector field, phase portrait
37J35 - Completely integrable systems, topological structure of phase space, integration methods
37K10 - Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)