  A surprising "duality" of the Newton equation with time-dependent forces and
the stationary Schroedinger equation is discussed. Wide classes of exact
solutions not known before for few-body Newton equations are generated directly
from exactly solvable multichannel models discovered in quantum mechanics due
to the inverse problem and the supersymmetry (SUSYQ) approach. The application
of this duality to the control of the stability (bifurcations) of classical
motions is suggested.
