Recurrence quantification analysis approach to high-frequency quasi-periodic oscillations of GRS 1915+105

Abstract

Accretion disks around black holes are a good probe for strong gravity. One of the probable manifestations of the accretion of matter around the central object is high-frequency quasi-periodic oscillations (HFQPO). The origin of these HFQPOs is still an open question, though, several theories have been introduced to determine the dynamics and origin of these HFQPOs. In this work, we study the determinism of HFQPOs using recurrence quantification analysis and surrogate-based hypothesis testing in some HFQPO observations for GRS 1915+105 black hole candidates. According to these tests, two HFQPO observations are deterministic (Observation ID: 20186-03-01-03 and 40403-01-06-00) with a large density of short diagonal lines, which is a distinctive feature of chaotic behavior, and one HFQPO observation is stochastic (Observation ID: 93701-01-06-00) in origin.