  We study the interior structure of the Einstein-Yang-Mills-Dilaton black
holes as a function of the dilaton coupling constant $\gamma\in [0,1]$. For
$\gamma\neq 0$ the solutions have no internal Cauchy horizons and the field
amplitudes follow a power law behavior near the singularity. As $\gamma$
decreases, the solutions develop more and more oscillation cycles in the
interior region, whose number becomes infinite in the limit $\gamma\to 0$.
