Fluctuation analysis of stellar x-ray binary systems.

We study time series of x-ray sources of 129 stellar binary systems present in the public data collected by the instrument All Sky Monitor on board of the satellite Rossi X-Ray Timing Explorer. The light time series was analyzed by applying detrended fluctuation analysis to estimate the long-range power-law correlation exponents alpha. The scaling exponent was calculated for all systems and its value indicated a signature of each kind of system, i.e., whether flare takes place (with alpha=1.22) or not (with alpha=0.64). As a consequence, our results may identify the stability of the systems from the scaling exponent alpha value, for instance, if alpha approximately 0.5 (white noise) the system is stable and unstable when alpha not equal to 0.5 (long-range power-law correlation).

[1]  Martin J. Rees,et al.  Accretion Disc Models for Compact X-Ray Sources , 1972 .

[2]  F. Shu,et al.  Gas dynamics of semidetached binaries , 1975 .

[3]  John P. Doty,et al.  The All Sky Monitor For The X-Ray Timing Explorer , 1988, Optics & Photonics.

[4]  N. White.  X-ray binaries , 1989 .

[5]  C. Peng,et al.  Long-range correlations in nucleotide sequences , 1992, Nature.

[6]  C. Peng,et al.  Fractal landscapes and molecular evolution: modeling the myosin heavy chain gene family. , 1993, Biophysical journal.

[7]  A. Goldberger,et al.  Finite-size effects on long-range correlations: implications for analyzing DNA sequences. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  C. Peng,et al.  Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  R. Mantegna,et al.  Scaling behaviour in the dynamics of an economic index , 1995, Nature.

[10]  Shlomo Havlin,et al.  Scaling behaviour of heartbeat intervals obtained by wavelet-based time-series analysis , 1996, Nature.

[11]  S. Havlin,et al.  Indication of a Universal Persistence Law Governing Atmospheric Variability , 1998 .

[12]  G. F. Zebende,et al.  LONG-RANGE CORRELATIONS IN COMPUTER DISKETTES , 1998 .

[13]  L. Amaral,et al.  Multifractality in human heartbeat dynamics , 1998, Nature.

[14]  Pereira,et al.  The Orbital Period of the Accreting Pulsar GX 1+4. , 1999, The Astrophysical journal.

[15]  A L Goldberger,et al.  Heart rate dynamics before spontaneous onset of ventricular fibrillation in patients with healed myocardial infarcts. , 1999, The American journal of cardiology.

[16]  P. Cizeau,et al.  Statistical properties of the volatility of price fluctuations. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  H E Stanley,et al.  Scaling features of noncoding DNA. , 1999, Physica A.

[18]  Rosario N. Mantegna,et al.  Book Review: An Introduction to Econophysics, Correlations, and Complexity in Finance, N. Rosario, H. Mantegna, and H. E. Stanley, Cambridge University Press, Cambridge, 2000. , 2000 .

[19]  T. Schreiber,et al.  Surrogate time series , 1999, chao-dyn/9909037.

[20]  S. Havlin,et al.  Correlated and uncorrelated regions in heart-rate fluctuations during sleep. , 2000, Physical review letters.

[21]  Murad S. Taqqu,et al.  A seasonal fractional ARIMA Model applied to the Nile River monthly flows at Aswan , 2000 .

[22]  Talkner,et al.  Power spectrum and detrended fluctuation analysis: application to daily temperatures , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[23]  J. Paradijs,et al.  UvA-DARE ( Digital Academic Repository ) A catalogue of high-mass X-ray binaries , 2022 .

[24]  I. Rodríguez‐Iturbe,et al.  Detrended fluctuation analysis of rainfall and streamflow time series , 2000 .

[25]  E.P.J. van den Heuvel,et al.  A catalogue of low-mass X-ray binaries , 2001 .

[26]  C. R. Neto,et al.  Characterization of local self-similarity and criticality in the solar active regions , 2002 .

[27]  Long-range correlations in self-gravitating N-body systems , 2002, astro-ph/0201470.

[28]  Harvard Medical School,et al.  Effect of nonstationarities on detrended fluctuation analysis. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.