Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise
arXiv:1709.08446 · doi:10.1142/S0218271818500104
Abstract
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 of a test particle in a deformed Kerr spacetime, when deterministic chaos and different levels of stochastic noise are present. In particular, we suggest a recurrence-based criterion to reveal whether the time series comes from a deterministic source and find a noise-level threshold of its applicability.
16 pages, 6 figures
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- Free motion around black holes with discs or rings: between integrability and chaos -- V
- On Innermost Stable Spherical Orbits near a rotating black hole: A numerical study of the particle motion near the plunging region
- Resonant orbits of rotating black holes beyond circularity: Discontinuity along parameter shift
- Resonant Islands of Effective-One-Body Dynamics
- Combining Machine Learning with Recurrence Analysis for resonance detection
- Spinning charged test particle dynamics around a Schwarzschild black hole embedded in a homogeneous magnetic field