Recurrence plots and chaotic motion around Kerr black hole

@article{Kopavcek2010RecurrencePA,
  title={Recurrence plots and chaotic motion around Kerr black hole},
  author={Ondvrej Kop'avcek and Jivr'i Kov'avr and Vladim R Karas and Zdenvek Stuchl'ik},
  journal={arXiv: High Energy Astrophysical Phenomena},
  year={2010},
  volume={1283},
  pages={278-287}
}
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… Expand
Regular and chaotic motion in general relativity: The case of an inclined black hole magnetosphere
Dynamics of charged particles in the vicinity of a rotating black hole embedded in the external large-scale magnetic field is numerically investigated. In particular, we consider a non- axisymmetricExpand
Properties of Particle Trajectory Around a Weakly Magnetized Black Hole
In recent years, the dynamics of particles around the black holes surrounded by weak magnetic field is an interesting matter to study. We investigate here the dynamics of charged particles aroundExpand
Influence of the black hole spin on the chaotic particle dynamics within a dipolar halo
We investigate the role of the spin angular momentum of astrophysical black holes in controlling the special relativistic chaotic dynamics of test particles moving under the influence of aExpand
Dynamics of particle near time conformal slowly rotating Kerr black hole
Abstract In this work, we have developed the time conformal slowly rotating Kerr black hole using the approximate Noether symmetry approach. It is found that the slowly rotating Kerr black holeExpand
Particle dynamics around time conformal regular black holes via Noether symmetries
The time conformal regular black hole (RBH) solutions which are admitting the time conformal factor e𝜖g(t), where g(t) is an arbitrary function of time and 𝜖 is the perturbationExpand
Near‐horizon structure of escape zones of electrically charged particles around weakly magnetized rotating black hole: Case of oblique magnetosphere
We study the effects of large scale magnetic fields on the dynamics of charged particles near a rotating black hole. We consider a scenario in which the initially neutral particles on geodesic orbitsExpand
Near-horizon Structure of Escape Zones of Electrically Charged Particles around Weakly Magnetized Rotating Black Hole
An interplay of magnetic fields and gravitation drives accretion and outflows near black holes. However, a specific mechanism is still a matter of debate; it is very likely that different processesExpand
Dynamics of Particles Around a Regular Black Hole with Nonlinear Electrodynamics
We investigate the dynamics of a charged particle being kicked off from its circular orbit around a regular black hole by an incoming massive particle in the presence of magnetic field. The resultingExpand
Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise
Recurrence analysis is a well settled method allowing to discern chaos from order, and determinism from noise. We apply this tool to study time series representing geodesic and inspiraling motion ofExpand
Magnetic loop generation by collisionless gravitationally bound plasmas in axisymmetric tori.
TLDR
The occurrence of a kinetic dynamo is proved, which can explain the self-generation of both azimuthal and poloidal magnetic fields by the plasma itself, and is intrinsically kinetic in character. Expand
...
1
2
...

References

SHOWING 1-10 OF 12 REFERENCES
Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects
Accretion onto black holes and compact stars brings material in a zone of strong gravitational and electromagnetic fields. We study dynamical properties of motion of electrically charged particlesExpand
Nonequatorial charged particle confinement around Kerr black holes
We analyze the nonequatorial charged particle dynamics around a rotating black hole in the presence of an external magnetic field, the latter being given by Wald's exact analytical solution to theExpand
Off-equatorial orbits in strong gravitational fields near compact objects
Near a black hole or an ultracompact star, motion of particles is governed by strong gravitational field. Electrically charged particles feel also electromagnetic force arising due to currents insideExpand
Recurrence plots for the analysis of complex systems
TLDR
The aim of this work is to provide the readers with the know how for the application of recurrence plot based methods in their own field of research, and detail the analysis of data and indicate possible difficulties and pitfalls. Expand
Black hole in a uniform magnetic field
Using the fact that a Killing vector in a vacuum spacetime serves as a vector potential for a Maxwell test field, we derive the solution for the electromagnetic field occurring when a stationary,Expand
The Lyapunov Characteristic Exponents and Their Computation
We present a survey of the theory of the Lyapunov Characteristic Exponents (LCEs) for dynamical systems, as well as of the numerical techniques developed for the computation of the maximal, of fewExpand
How much information is contained in a recurrence plot
Abstract Recurrence plots have recently been recognized as a powerful tool for the analysis of data. Not only the visualization of structures of the time series but also the possibility to estimateExpand
Recurrence quantification analysis of the logistic equation with transients
Recurrence quantification analysis (RQA) detects state changes in drifting dynamical systems without necessitating any a priori constraining mathematical assumptions. Study of the logistic equationExpand
Recurrence Plots of Dynamical Systems
A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples.
Recurrence quantification analysis of the logistic equ ation with transients,Physics
  • Letters A,
  • 1996
...
1
2
...