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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

European Physical Journal C

ISSN

1434-6044

e-ISSN

1434-6052

Svazek periodika

79

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

21

Strana od-do

„479-1“-„479-21“

Kód UT WoS článku

000470781800003

EID výsledku v databázi Scopus

2-s2.0-85066944270