A three-level atom interacting with laser fields of different frequencies o
ut of resonance is studied. The corresponding theory of dressed states is a
pplied and extended beyond the leading order to obtain the higher-older cor
rections. These higher-order corrections can be computed by a dual Dyson se
ries. Rather than to apply perturbation theory, the equations for the proba
bility amplitudes of the transformed Hamiltonian in the dual interaction pi
cture are considered. This gives us the opportunity to study the resonance
properties of the quantum dynamics of the three-level atom being driven out
of resonance by the external laser fields. In this way, by different reson
ance conditions due both to the detunings and the couplings, one gets Rabi
flopping without resonance of the external fields and the atom levels, with
also the Rabi frequency originating both from the detunings and the coupli
ngs.