  This paper is devoted to the smooth and stationary Wong-Zakai approximations
for a class of rough differential equations driven by a geometric fractional
Brownian rough path $\boldsymbol{\omega}$ with Hurst index
$H\in(\frac{1}{3},\frac{1}{2}]$. We first construct the approximation
$\boldsymbol{\omega}_{\delta}$ of $\boldsymbol{\omega}$ by probabilistic
arguments, and then using the rough path theory to obtain the Wong-Zakai
approximation for the solution on any finite interval. Finally, both the
original system and approximative system generate a continuous random dynamical
systems $\varphi$ and $\varphi^{\delta}$. As a consequence of the Wong-Zakai
approximation of the solution, $\varphi^{\delta}$ converges to $\varphi$ as
$\delta\rightarrow 0$.
