Nonlinear time series anaysis of the light curves from the black hole system GRS1915+105

Abstract

GRS 1915+105 is a prominent black hole system exhibiting variability over a wide range of time scales and its observed light curves have been classified into 12 temporal states. Here we undertake a complete analysis of these light curves from all the states using various quantifiers from nonlinear time series analysis, such as, the correlation dimension (D_2), the correlation entropy (K_2), singular value decomposition (SVD) and the multifractal spectrum ($f(\alpha )$ spectrum). An important aspect of our analysis is that, for estimating these quantifiers, we use algorithmic schemes which we have proposed recently and tested successfully on synthetic as well as practical time series from various fields. Though the schemes are based on the conventional delay embedding technique, they are automated so that the above quantitative measures can be computed using conditions prescribed by the algorithm and without any intermediate subjective analysis. We show that nearly half of the 12 temporal states exhibit deviation from randomness and their complex temporal behavior could be approximated by a few (3 or 4) coupled ordinary nonlinear differential equations. These results could be important for a better understanding of the processes that generate the light curves and hence for modelling the temporal behavior of such complex systems. To our knowledge, this is the first complete analysis of an astrophysical object (let alone a black hole system) using various techniques from nonlinear dynamics.

Accepted for publication in RAA

References in corpus (5)

• A non subjective approach to the GP algorithm for analysing noisy time series
• Computing the multifractal spectrum from time series: An algorithmic approach
• Search for chaos in neutron star systems: Is Cyg X-3 a black hole?
• Correlated spectral and temporal changes in 3C 390.3: a new link between AGN and Galactic Black Hole Binaries?
• Characterizing black hole variability with nonlinear methods: the case of the X-ray Nova 4U 1543-47

Cited by in corpus (8)

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• Revisiting Evidence of Chaos in X-ray Light Curves: The Case of GRS 1915+105
• Recurrence network measures for hypothesis testing using surrogate data: application to black hole light curves
• Stochastic variability in X-ray emission from the black hole binary GRS 1915+105
• Nonlinearity in Data with Gaps: Application to Ecological and Meteorological Datasets
• Stability analysis of planetary systems via second-order Rényi entropy
• Light curve fingerprints: an automated approach to the extraction of X-ray variability patterns with feature aggregation -- an example application to GRS 1915+105