“…The stability of different types of attractors is related to the distribution of singular points around them, as in the case of the mechanical stability, which is represented by the potential energy of some object disturbed by small displacements, with stable, unstable, and indifferent equilibrium, so that we can describe the motion of this object subjected to Newton's law of mechanics. This work aims to present a similar task, by using light and magnetic fields, inspired by the observation of light patterns in the Ferrolens [2], a device based on a Hele-Shaw cell containing ferrofluid, which can control light, acting as a magnetic lens. The potential applications for this kind of device is remarkable, for example the observation of light patterns in ferrofluids motivated some authors: to compare them with some atmospheric optics phenomena [2]; or to understand the cause behind the existence of light patterns [3], known as magnetic contours; or considering the ferrofluids as "smart nanofluid" [4], we can find some interesting studies of the optical properties controlled by an external magnetic field, such as the formation of ring structures of light in scattered patterns [5]; or in some exciting applications such as liquid robotics [6].…”