Existence of Exotic rotation domains and Herman rings for quadratic Hénon maps

Raphaël Krikorian

A quadratic Hénon map is an automorphism of $\C^2$ of the form $h:(x,y)\mapsto ({ł}^{1/2}(x^2+c)-ły,x)$. It has a constant Jacobian equal to $ł$ and has two fixed points. If $\lambda$ is…