Recurrence plots and chaotic motion around Kerr black hole
arXiv:1011.2707 · doi:10.1063/1.3506071
Abstract
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 Poincaré surfaces of section, evaluation of the Lyapunov spectra etc.). We show that RPs and their quantitative measures (obtained from recurrence quantification analysis -- RQA) are powerful tools to detect dynamical regime of motion (regular vs. chaotic) and precisely locate the transitions between these regimes.
10 pages, 10 figures, published
Cited by in corpus (10)
- Critical escape velocity for a charged particle moving around a weakly magnetized Schwarzschild black hole
- Dynamics of a charged particle around a weakly magnetized naked singularity
- Dynamics of Particles Around a Regular Black Hole with Nonlinear Electrodynamics
- Escape of Charged Particles Moving around a Weakly Magnetized Kerr Black Hole
- Electromagnetic field and chaotic charged-particle motion around hairy black holes in Horndeski gravity
- Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise
- Influence of the black hole spin on the chaotic particle dynamics within a dipolar halo
- Fractal signatures of non-Kerr spacetimes in the shadow of light-ring bifurcations
- Chaotic motion of particles around a dyonic Kerr-Newman black hole immersed in the Melvin-swirling universe
- Properties of Particle Trajectory Around a Weakly Magnetized Black Hole