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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19240%2F19%3AA0000420" target="_blank" >RIV/47813059:19240/19:A0000420 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-019-6961-7" target="_blank" >https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-019-6961-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjc/s10052-019-6961-7" target="_blank" >10.1140/epjc/s10052-019-6961-7</a>

Result language
angličtina
Original language name
Determination of chaotic behaviour in time series generated by charged particle motion around magnetized Schwarzschild black holes
Original language description
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 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: (1) regular oscillatory motion, (2) destruction due to capture by the magnetized black hole, (3) 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 approximate to 0 whole the ionized internal part of the Keplerian disk is captured by the black hole.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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