  Motivated by the recent gravitational wave detection by the LIGO-VIRGO
observatories, we study the Love number and dimensionless tidal polarizability
of highly magnetized stars. We also investigate the fundamental quasi-normal
mode of neutron stars subject to high magnetic fields. To perform our
calculations we use the chaotic field approximation and consider both nucleonic
and hyperonic stars. As far as the fundamental mode is concerned, we conclude
that the role played by the constitution of the stars is far more relevant than
the intensity of the magnetic field and if massive stars are considered, the
ones constituted by nucleons only present frequencies somewhat lower than the
ones with hyperonic cores, a feature that can be used to point out the real
internal structure of neutron stars. Moreover, our studies clearly indicate
that strong magnetic fields play a crucial role in the deformability of low
mass neutron stars, with possible consequences on the interpretation of the
detected gravitational waves signatures.
