D
2010
Recurrence plots and chaotic motion around Kerr black hole
KOVÁŘ, Jiří and Zdeněk STUCHLÍK
Basic information
Original name
Recurrence plots and chaotic motion around Kerr black hole
Edition
USA, MATHEMATICS AND ASTRONOMY: A JOINT LONG JOURNEY, p. 278-+, 9 pp. 2010
Publisher
AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Other information
Type of outcome
Stať ve sborníku
Field of Study
10308 Astronomy
Confidentiality degree
není předmětem státního či obchodního tajemství
Organization unit
Faculty of Philosophy and Science in Opava
Keywords in English
black hole physics, magnetic fields, relativity
Tags
International impact, Reviewed
Links
LC06014, research and development project. MSM4781305903, plan (intention).
V originále
We study the motion of charged test particles around a Kerr black hole immersed in the asymptotically uniform magnetic field, concluding that off-equatorial stable orbits are allowed in this system. Being interested in dynamical properties of these astrophysically relevant orbits we employ rather novel approach based on the analysis of recurrences of the system to the vicinity of its previous states. We use recurrence plots (RPs) as a tool to visualize recurrences of the trajectory in the phase space. Construction of RPs is simple and straightforward regardless of the dimension of the phase space, which is a major advantage of this approach when compared to the "traditional" methods of the numerical analysis of dynamical systems (for instance the visual survey of Poincare surfaces of section, evaluation of the Lyapunov spectra etc.).
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