  We establish the asymptotic completeness in the nonlinear Lamb system for
hyperbolic stationary states. For the proof we construct a trajectory of a
reduced equation (which is a nonlinear nonautonomous ODE) converging to a
hyperbolic stationary point using the Inverse Function Theorem in a Banach
space. We give the counterexamples showing nonexistence of such trajectories
for nonhyperbolic stationary points.
