  We study behaviour of ionized region of a Keplerian disk orbiting a
Schwarzschild black hole immersed in an asymptotically uniform magnetic field.
In dependence on the magnetic parameter ${\cal B}$, and inclination angle
$\theta$ of the disk plane with respect to the magnetic field direction, the
charged particles of the ionized disk can enter three regimes: a) regular
oscillatory motion, b) destruction due to capture by the magnetized black hole,
c) chaotic regime of the motion. In order to study transition between the
regular and chaotic type of the charged particle motion, we generate time
series of the solution of equations of motion under various conditions, and
study them by non-linear (box counting, correlation dimension, Lyapunov
exponent, recurrence analysis, machine learning) methods of chaos
determination. We demonstrate that the machine learning method appears to be
the most efficient in determining the chaotic region of the $\theta-r$ space.
We show that the chaotic character of the ionized particle motion increases
with the inclination angle. For the inclination angles $\theta \sim 0$ whole
the ionized internal part of the Keplerian disk is captured by the black hole.
