Investigating Non-linear and Stochastic Hard X-ray Variability of Active Galactic Nuclei using Recurrence Analysis
R.A. Phillipson, M.S. Vogeley, and P.T. Boyd

TL;DR
This study uses recurrence analysis on Swift BAT light curves of 46 AGN to reveal complex, non-linear variability patterns, showing differences between AGN types and linking variability features to physical properties and accretion processes.
Contribution
It introduces recurrence analysis to AGN X-ray variability, uncovering non-linear and non-stationary behaviors and their correlations with AGN classifications and physical parameters.
Findings
Most AGN show higher-order variability modes beyond power spectrum.
Approximately half of the AGN exhibit nonlinear or non-stationary behavior.
Type 2 AGN are more likely to have deterministic variability.
Abstract
We present results of recurrence analysis of 46 active galactic nuclei (AGN) using light curves from the 157-month catalog of the Swift Burst Alert Telescope (BAT) in the 14-150 keV band. We generate recurrence plots and compute recurrence plot metrics for each object. We use the surrogate data method to compare all derived recurrence-based quantities to three sets of stochastic light curves with identical power spectrum, flux distribution, or both, in order to determine the presence of determinism, non-linearity, entropy, and non-stationarity. We compare these quantities with known physical characteristics of each system, such as black hole mass, Eddington ratio, and bolometric luminosity, radio loudness, obscuration, and spectroscopic type. We find that almost all AGN in this sample exhibit substantial higher-order modes of variability than is contained in the power spectrum, with…
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