Period doubling and non-linear resonance in the black hole candidate IGR J17091-3624 ?
P. Rebusco, P. Moskalik, W. Kluzniak, and M. A. Abramowicz

TL;DR
This paper explores high-frequency quasi-periodic oscillations in the black hole candidate IGR J17091-3624, suggesting they result from non-linear resonance and period doubling phenomena similar to stellar pulsations, and estimates the black hole's mass.
Contribution
It proposes a novel interpretation of HFQPOs as nonlinear resonance phenomena, linking observed frequency ratios to period doubling in black hole accretion disks.
Findings
HFQPOs in IGR J17091-3624 are in a 5:2 ratio.
The frequency ratio suggests nonlinear resonance similar to stellar pulsations.
Estimated black hole mass is about 6 solar masses.
Abstract
The two high frequency quasi periodic oscillations (HFQPOs) recently reported in the black hole candidate IGR J17091-3624 by Altamirano and Belloni (2012) are in a 5:2 frequency ratio (164 Hz to 66 Hz). This ratio is strongly suggestive of period doubling and nonlinear resonance analogous to phenomena known in RV Tauri-type pulsating stars (and recently discovered also in oscillations of RR Lyrae-type and of BL Herculis-type variables). An interpretation of the frequency ratio in terms of nonlinear interactions and a comparison with the HFQPOs reported in GRS 1915+105 may imply a mass of about 6 solar masses for the black hole in IGR J17091- 3624.
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