  We study the global behavior of the trajectories of the polynomial system
$\dot x = x - x^2 y+p x y^2+ y^3, \ \dot y=y+p y^3 , \ \ p\in \mathbb{R}$. Our
study is related to the paper {\it Alarcon B., Castro S.B.S.D., Labouriau I.S.}
Glodal planar dynamics with star nodes: beyond Hilbert's 16th
problem//arXiv:2106/07516v2 [math.DS].
