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Cross-correlation markers in stochastic dynamics of complex systems

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  • Panischev, O.Yu.
  • Demin, S.A.
  • Bhattacharya, J.

Abstract

The neuromagnetic activity (magnetoencephalogram, MEG) from healthy human brain and from an epileptic patient against chromatic flickering stimuli has been earlier analyzed on the basis of a memory functions formalism (MFF). Information measures of memory as well as relaxation parameters revealed high individuality and unique features in the neuromagnetic brain responses of each subject. The current paper demonstrates new capabilities of MFF by studying cross-correlations between MEG signals obtained from multiple and distant brain regions. It is shown that the MEG signals of healthy subjects are characterized by well-defined effects of frequency synchronization and at the same time by the domination of low-frequency processes. On the contrary, the MEG of a patient is characterized by a sharp abnormality of frequency synchronization, and also by prevalence of high-frequency quasi-periodic processes. Modification of synchronization effects and dynamics of cross-correlations offer a promising method of detecting pathological abnormalities in brain responses.

Suggested Citation

  • Panischev, O.Yu. & Demin, S.A. & Bhattacharya, J., 2010. "Cross-correlation markers in stochastic dynamics of complex systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4958-4969.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:21:p:4958-4969
    DOI: 10.1016/j.physa.2010.06.026
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    References listed on IDEAS

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    1. B. Podobnik & I. Grosse & D. Horvatić & S. Ilic & P. Ch. Ivanov & H. E. Stanley, 2009. "Quantifying cross-correlations using local and global detrending approaches," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(2), pages 243-250, September.
    2. Wei-Xing Zhou, 2008. "Multifractal detrended cross-correlation analysis for two nonstationary signals," Papers 0803.2773, arXiv.org.
    3. Vasiliki Plerou & Parameswaran Gopikrishnan & Bernd Rosenow & Luis A. Nunes Amaral & H. Eugene Stanley, 1999. "Universal and non-universal properties of cross-correlations in financial time series," Papers cond-mat/9902283, arXiv.org.
    4. Sergio Arianos & Anna Carbone, 2008. "Cross-correlation of long-range correlated series," Papers 0804.2064, arXiv.org, revised Mar 2009.
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    Cited by:

    1. Timashev, Serge F. & Panischev, Oleg Yu. & Polyakov, Yuriy S. & Demin, Sergey A. & Kaplan, Alexander Ya., 2012. "Analysis of cross-correlations in electroencephalogram signals as an approach to proactive diagnosis of schizophrenia," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1179-1194.

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