A structure theorem for semi-parabolic Hénon maps

Remus Radu, Raluca Tanase

Consider the parameter space ${\mathcal{P}}_{\lambda }\subset {\mathbb{C}}^2$ of complex Hénon maps $$H_{c,a}(x,y)=(x^2+c+ay,ax),a\ne 0$$ which have a semi-parabolic fixed point with…