The coalescence of two Floquet resonances with complex quasi-energies in the photodissociation of a molecule call be reached through fit appropriate choice of laser parameters (wavelength and intensity) The corresponding point in the parameter plane is called exceptional. We show that I condition for two resonances to yield Rich a point is that they correspond, respectively, to I shape-like resonance and it Feshbach-like resonance. We examine how the resonances behave along a contour in the parameter plane, which goes mound the exceptional point. The resonances exchange their labels This amounts to a laser control of the vibrational transfer of the undissociated molecules from one field-free state to another