  We discuss the alpha-muon sticking coefficient in the muon-catalysed ``in
flight" d-t fusion in the framework of the Constrained Molecular Dynamics
model. Especially the influence of muonic chaotic dynamics on the sticking
coefficient is brought into focus. The chaotic motion of the muon affects not
only the fusion cross section but also the $\mu-\alpha$ sticking coefficient.
Chaotic systems lead to larger enhancements with respect to regular systems
because of the reduction of the tunneling region. Moreover they give smaller
sticking probabilities than those of regular events. By utilizing a
characteristic of the chaotic dynamics one can avoid losing the muon in the
$\mu$CF cycle. We propose the application of the so-called ``microwave
ionization of a Rydberg atom" to the present case which could lead to the
enhancement of the reactivation process by using X-rays.
