  In this paper, we propose a Tikhonov-like regularization for dynamical
systems associated with non-expansive operators defined in closed and convex
sets of a Hilbert space. We prove the well-posedness and the strong convergence
of the proposed dynamical systems to a fixed point of the non-expansive
operator. We apply the obtained result to dynamical system associated with the
problem of finding the zeros of the sum of a cocoercive operator with the
subdifferential of a convex function.
