The nonlinear behavior of the black hole system GRS 1915+105
The nonlinear behavior of the black hole system GRS 1915+105
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DOI：
10.1086/503094
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发表时间：
2006-06-01
影响因子：
4.9
通讯作者：
Kembhavi, AK
中科院分区：
文献类型：
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作者：
Misra, R;Harikrishnan, KP;Kembhavi, AK
利用非线性时间序列分析和替代数据分析表明，黑洞系统GRS 1915+105所表现出的各种类型的长期变率可以用一个带有一些固有随机噪声的确定性非线性系统来解释。在源中检测到的一个低频QPOs的非线性极限环起源提供了证据，而一些其他类型的可变性可能是由于潜在的低维混沌系统。这些结果表明，控制内吸积盘磁流体动力流动的偏微分方程可以用少量（约3-5个）非线性常微分方程来近似。虽然这一分析并没有揭示这些近似方程的确切性质，但在将来，在实际吸积盘的磁流体动力学模拟结果可用后，它们可能会得到。
Using nonlinear time series analysis, along with surrogate data analysis, it is shown that the various types of long-term variability exhibited by the black hole system GRS 1915+105 can be explained in terms of a deterministic nonlinear system with some inherent stochastic noise. Evidence is provided for a nonlinear limit cycle origin of one of the low-frequency QPOs detected in the source, while some other types of variability could be due to an underlying low-dimensional chaotic system. These results imply that the partial differential equations that govern the magnetohydrodynamic flow of the inner accretion disk can be approximated by a small number (approximate to 3-5) of nonlinear but ordinary differential equations. While this analysis does not reveal the exact nature of these approximate equations, they may be obtained in the future, after results of magnetohydrodynamic simulation of realistic accretion disks become available.