On some rational piecewise linear rotations

Anna Cima, Armengol Gasull, Víctor Mañosa +1

We study the dynamics of the piecewise planar rotations $F_{\lambda }(z)=\lambda (z-H(z)),$ with $z\in\C$, $H(z)=1$ if $\mathrm{Im}(z)\ge 0,$ $H(z)=-1$ if $\mathrm{Im}(z)<0,$ and $λ=\mathrm{e}^{i…