  The high-energy behaviour in a multi-channel system is investigated in the
framework of collinear asymptotic dynamics for massive particles. We consider
the most general trilinear coupling of N different scalar fields. We find Regge
behaviour and obtain closed expressions for the Regge trajectories and
couplings. The results are corraborated in the multi-channel Bethe-Salpeter
approach. The scattering processes dominated by single Regge trajectories are
explicitly given.
