  We examine the suppression of quantum beating in a one dimensional non-
linear double well potential, made up of two focusing nonlinear point
interactions. The investigation of the Schr\"odinger dynamics is reduced to the
study of a system of coupled nonlinear Volterra integral equations. For various
values of the geometric and dynamical parameters of the model we give
analytical and numerical results on the way states, which are initially
confined in one well, evolve. We show that already for a nonlinearity exponent
well below the critical value there is complete suppression of the typical
beating behavior characterizing the linear quantum case.
