Julia sets for Fibonacci endomorphisms of ${\mathbb{C}}^2$ and ${\mathbb{R}}^2$

S. Bonnot, A. de Carvalho, A. Messaoudi

We study the dynamics of the family $f_c(x,y)=(xy+c,x)$ of endomorphisms of ${\mathbb{R}}^2$ and ${\mathbb{C}}^2$, where $c$ is a real or complex parameter. Such maps can be seen as…