  The dynamics of the Brans-Dicke theory with a scalar field potential function
is investigated. We show that the system with a barotropic matter content can
be reduced to an autonomous three-dimensional dynamical system. For an
arbitrary potential function we found the values of the Brans-Dicke parameter
for which a global attractor in the phase space representing de Sitter state
exists. Using linearized solutions in the vicinity of this critical point we
show that the evolution of the Universe mimics the $\Lambda$CDM model. From the
recent Planck satellite data, we obtain constraints on the variability of the
effective gravitational coupling constant as well as the lower limit of the
mass of the Brans-Dicke scalar field at the de Sitter state.
