  We employ numerical simulations and finite-size scaling techniques to
investigate the properties of the dynamic phase transition that is encountered
in the Blume-Capel model subjected to a periodically oscillating magnetic
field. We mainly focus on the study of the two-dimensional system for various
values of the crystal-field coupling in the second-order transition regime. Our
results indicate that the present non-equilibrium phase transition belongs to
the universality class of the equilibrium Ising model and allow us to construct
a dynamic phase diagram, in analogy to the equilibrium case, at least for the
range of parameters considered. Finally, we present some complementary results
for the three-dimensional model, where again the obtained estimates for the
critical exponents fall into the universality class of the corresponding
three-dimensional equilibrium Ising ferromagnet.
