  The properties of magnetized color superconducting cold dense quark matter
under compact star conditions are investigated using a $SU(2)_f$ Nambu
Jona-Lasinio (NJL)-type model in which the divergences are treated using a
magnetic field independent regularization scheme in order to avoid unphysical
oscillations. We study the phase diagram for several model parametrizations.
The features of each phase are analyzed through the behavior of the chiral and
superconducting condensates together with the different particle densities for
increasing chemical potential or magnetic field. While confirming previous
results derived for the zero magnetic field or isospin symmetric matter case,
we show how the phases are modified in the presence of $\beta$-equilibrium as
well as color and electric charge neutrality conditions.
