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Determination of chaotic behaviour in time series generated by charged particle motion around magnetized Schwarzschild black holes

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arxiv 1905.01186 v1 pith:JYWKBCQ2 submitted 2019-05-03 gr-qc astro-ph.HE

Radim Pánis , Martin Kološ , Zdeněk Stuchlík This is my paper · ORCID
classification gr-qcastro-ph.HE
keywords motionchaoticblackdiskionizedchargedholeinclination
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abstract

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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Charged particle dynamics in magnetosphere generated by current loop around Schwarzschild black hole

    gr-qc 2025-09 conditional novelty 6.0 of 10

    In a Schwarzschild black hole magnetosphere sourced by an equatorial current loop, attractive Lorentz force configurations allow charged particles to accumulate near the loop and generate a ring current opposing the o...

  2. Radiative Back-Reaction on Charged Particle Motion in the Dipole Magnetosphere of Neutron Stars

    astro-ph.HE 2024-12 conditional novelty 6.0 of 10

    Radiative back-reaction makes charged particles under an attractive Lorentz force fall onto a magnetized neutron star, while under a repulsive force they either widen their orbits or fall, depending on the starting latitude.

  3. Rational Orbits and Gravitational Waves in Static Spherical Spacetimes: An Open-Source Numerical Framework

    gr-qc 2026-06 conditional novelty 5.0 of 10

    Open-source numerical package for rational orbits and gravitational waves in static spherically symmetric spacetimes, validated on Schwarzschild and applied to an IMBH-Sgr A* EMRI.

  4. Chaotic imprints of dark matter in extreme mass-ratio inspirals

    gr-qc 2026-02 reject novelty 4.0 of 10

    A toy model shows that adding a hand-made angle-dependent force to dark-matter spacetimes produces visual chaos and irregular numerical-Kludge waveforms, but the force is not a realistic dark-matter perturbation.

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