Particle dynamics and fundamental frequencies of black hole coupled with a nonlinear electrodynamics field

The primary aim of this study is to investigate the characteristics of particle dynamics in black holes with non-linear electrodynamics. To achieve this objective, we consider three non-linear electrodynamics black hole geometries with magnetic charge. We perform calculations and analysis to determine the horizon radius, inner stable circular orbit, and quasi -periodic oscillations, thereby uncovering the dynamical features of these systems. In-depth discussions are provided regarding the influence of magnetic charge and the non-linear electrodynamic parameter on the obtained results.