On the functional graph of $f(X)=c(X^{q+1}+a{X}^2)$ over quadratic extensions of finite fields

F. E. Brochero Martínez, H. R. Teixeira

Let ${\mathbb{F}}_q$ be the finite field with $q$ elements and $char({\mathbb{F}}_q)$ odd. In this article we will describe completely the dynamics of the map $f(X)=c(X^{q+1}+a{X}^2)$, f…