  The equivalence between different physical systems permits us to transfer
knowledge between them and to characterize the universal nature of their
dynamics. We demonstrate that a nanopillar driven by a spin-transfer torque is
equivalent to a rotating magnetic plate, which permits us to consider the
nanopillar as a macroscopic system under a time-modulated injection of energy,
that is, a simple parametric resonator. This equivalence allows us to
characterize the phases diagram and to predict magnetic states and dynamical
behaviors, such as solitons, stationary textures, and oscillatory localized
states, among others. Numerical simulations confirm these predictions.
