Nonlinear Phenomena in Complex Systems, 2026, Vol.29, No.2, pp.144-150

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2026, Vol.29, No.2, pp.144-150

The Study of Cross-Correlations in Signals of Induced Biomagnetic Activity of the Human Brain Based on Flicker-Noise Spectroscopy

S. A. Demin, M. A. Kruglik, A. V. Minkin, and N. Y. Demina

In this paper, within the framework of an original theoretical approach, namely Flicker--Noise Spectroscopy, a study is carried out of cross-correlations of signals of biomagnetic activity of the human cerebral cortex caused by color flickering stimuli. It is shown that the influence of various color stimuli leads to a change in the spatio-temporal structure of magnetoencephalograms, which is reflected in the behavior of two-parameter cross-correlators. In some cases, a high degree of synchronization and symmetry of the structure of cross-correlators is observed, in others, synchronization is disrupted, which is reflected in the deformation of the structures. Symmetry or deformation of cross-correlators allows us to study the processes of coordination/mismatch between ensembles of neurons localized in certain areas of the human cerebral cortex. The results obtained will be of interest to specialists developing information technologies in biomedicine, methods of data sciences, including Big data, physics of living systems.

Key words: complex system, biomedical signal analysis, brain, magnetoencephalograms, Flicker--Noise Spectroscopy, cross-correlations, frequency-phase synchronization, color stimuli, flickering light

DOI: https://doi.org/10.5281/zenodo.21105055

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