  The asymmetric scattering between wobblers and kinks in the standard $\phi^4$
model is numerically investigated in two different scenarios. First, the
collision between wobblers with opposite phase is analyzed. Here, a destructive
interference between the shape modes of the colliding wobblers takes place at
the impact time. The second scenario involves the scattering between a wobbler
and an (unexcited) kink. In this case the energy transfer from the wobbler to
the kink can be examined. The dependence of the final velocities and wobbling
amplitudes of the scattered wobblers on the collision velocity and on the
initial wobbling amplitude is discussed. Both situations lead to very different
fractal structures in the velocity diagrams.
