In this paper we present the Julia set and the global behavior of an exponential second order difference equation of the type \begin{equation*} x_{n+1}=ax_{n-1}+bx_{n-1}\exp eft( cx_{n-1}+cx_{n}\right), \end{equation*}where $a\ge0$, $b>0$ and $c>0$ with non-negative initial conditions.