[en] We theoretically investigated the influence of shape, structural distortion and electric field on the Aharonov-Bohm (AB) oscillations observed in the energy and in the nonlinear absorption spectra of a pseudo-elliptic quantum ring (PEQR). The potential that describes the PEQR is a combination of parabolic and inverse square potentials, that allows a detailed phenomenological analysis of the variation of AB oscillations period with the magnetic field. For a moderate outer ellipse eccentricity, the decrement of ring width, the small displacement of the inner circle of the ring along the x(y) -axis or an in-plane electric field directed along the x(y) -axis lead to the suppression of the AB oscillations for the lower energy levels and to the decrement of their period and amplitude for the higher levels. The electric field has a similar effect on the energy spectrum as the inner circle displacement along the same direction. All absorption spectra display the influence of AB oscillations in the energy and in the amplitude of some peaks. The spectra have particular features depending on the applied fields and can be potentially used as sensitive tools for deciphering the presence and direction of an electric field or of eccentricity.