Recurrence plots and chaotic motion around Kerr black hole

@inproceedings{44961,
   author = {Kovář, Jiří and Stuchlík, Zdeněk},
   address = {USA},
   booktitle = {MATHEMATICS AND ASTRONOMY: A JOINT LONG JOURNEY},
   doi = {http://dx.doi.org/10.1063/1.3506071},
   keywords = {black hole physics, magnetic fields, relativity},
   language = {eng},
   location = {USA},
   isbn = {978-0-7354-0837-1},
   pages = {278-+},
   publisher = {AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA},
   title = {Recurrence plots and chaotic motion around Kerr black hole},
   year = {2010}
}

TY  - JOUR
ID  - 44961
AU  - Kovář, Jiří - Stuchlík, Zdeněk
PY  - 2010
TI  - Recurrence plots and chaotic motion around Kerr black hole
PB  - AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
CY  - USA
SN  - 9780735408371
KW  - black hole physics, magnetic fields, relativity
N2  - 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.).
ER  - 

KOVÁŘ, Jiří and Zdeněk STUCHLÍK. Recurrence plots and chaotic motion around Kerr black hole. In \textit{MATHEMATICS AND ASTRONOMY: A JOINT LONG JOURNEY}. USA: AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2010, p.~278-+, 9 pp. ISBN~978-0-7354-0837-1. Available from: https://dx.doi.org/10.1063/1.3506071.