The chaotic behavior of the black hole system GRS 1915+105

Details The chaotic behavior of the black hole system GRS 1915+105 The chaotic behavior of the black hole system GRS 1915+105

2004-03-05

arxiv.org/abs/astro-ph/0403144v1

Astrophys.J. 609 (2004) 313-316

Astronomy and Astrophysics

Astrophysics

Accepted for publication in Astrophysical Journal

Scientific paper

10.1086/421005

A modified non-linear time series analysis technique, which computes the correlation dimension $D_2$, is used to analyze the X-ray light curves of the black hole system GRS 1915+105 in all twelve temporal classes. For four of these temporal classes $D_2 $ saturates to $\approx 4-5$ which indicates that the underlying dynamical mechanism is a low dimensional chaotic system. Of the other eight classes, three show stochastic behavior while five show deviation from randomness. The light curves for four classes which depict chaotic behavior have the smallest ratio of the expected Poisson noise to the variability ($ < 0.05$) while those for the three classes which depict stochastic behavior is the highest ($ > 0.2$). This suggests that the temporal behavior of the black hole system is governed by a low dimensional chaotic system, whose nature is detectable only when the Poisson fluctuations are much smaller than the variability.

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