Haibo Lu

Finite Cyclicity of the Graphic $I_{16a}^2$ in Quadratic Systems

We prove that every graphic in the I₁₆ₐ² family has cyclicity at most two in the normalized quadratic family of Dumortier–Roussarie–Rousseau. A fixed base field carries a continuum of such graphics, each determined by a regular connecting orbit from D₂ to D₃. For every r>0 and ev...