  A new exact magnetized solution describing a Kiselev black hole immersed in a
magnetic field is used for studying the dynamics of charged particles. For a
weak magnetic induction, we employ a first-order perturbative approach to
analyze the perturbed circular orbits near the minimum of the effective
potential. We obtain an approximate solution for the bounded equatorial
trajectory subjected to small radial and latitudinal oscillations. The shape of
the trajectory localized near the stable circular orbit depends on the relation
between the attractive gravitational force and the repulsive quintessence
contribution.
