The bifurcation diagram of cubic polynomial vector fields on $\mathbb{C}{\mathbb{P}}^1$

Christiane Rousseau

In this paper we give the bifurcation diagram of the family of cubic vector fields $\dot{z}=z^3+{\epsilon }_{1}z+{\epsilon }_0$ for $z\in \mathbb{C}{\mathbb{P}}^1$, depending on the values of $ε_1,ε_0\in\…