Spinning charged test particles around a Schwarzschild black hole in a uniform magnetic field have integrable equatorial motion with explicit frequencies but exhibit chaotic non-integrable dynamics off the equatorial plane.
A PS exploits the symplectic struc- ture of a Hamiltonian system and allows us to study its flow on a 2D hypersurface of the phase space
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Spinning charged test particle dynamics around a Schwarzschild black hole embedded in a homogeneous magnetic field
Spinning charged test particles around a Schwarzschild black hole in a uniform magnetic field have integrable equatorial motion with explicit frequencies but exhibit chaotic non-integrable dynamics off the equatorial plane.