[en] Some generalizations of the Kerman model for odd nuclei are studied. The influence of phonon admixtures on the value of Koriolis interaction matrice elements is investigate-med using multipolultipole interaction in the internal hamiltonian. Considered are several variants of accounting non-adiabatic effects of an even-even core. Calculations have been performed for even and odd ¹⁶¹Dy states. The accoun the phonon admixtures is shown to cause certain reduction of the angular momentum matrix elements, and alongside with the account of non-adiabatic effects improves the agreement between theory and experiment, especially in the case of long rotation bands