  In this paper the scattering between a wobbling kink and a wobbling antikink
in the standard $\phi^4$ model is numerically investigated. The dependence of
the final velocities, wobbling amplitudes and frequencies of the scattered
kinks on the collision velocity and on the initial wobbling amplitude is
discussed. The fractal structure becomes more intricate due to the emergence of
new resonance windows and the splitting of those arising in the non-excited
kink scattering. Outside this phase the final wobbling amplitude exhibits a
linear dependence of the collision velocity whereas the final frequency is a
decreasing function. By contrast these magnitudes are almost independent of the
initial wobbling amplitude.
