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Background and Objectives: the coupling of EEG signals during an epileptic seizure in patients during coma is being studied. Materials and Methods: the analysis of the applicability of the method of detecting the interaction between oscillatory systems based on the phase dynamics modeling to EEG signals during an epilepsy seizure in comatose patients is carried out. Results: a method of preliminary filtering of EEG signals has been proposed and the values of the method parameters have been selected, which allow obtaining reliable estimates of directional coupling at a significance level of 0.05. As an example, the analysis of the couplings between EEG signals of two patients with the mentioned pathologies was carried out using the method of the coupling estimation developed in this work.

The purpose of this paper is to study the processes of spatial disorder and the development of phase multistability in a discrete medium of anharmonic oscillators. Methods. An ensemble of diffusively coupled van der Pol oscillators is used as a model of discrete anharmonic medium. The model is investigated by numerical simulation; its phase dynamics is studied. The formed spatial structures are visualized by means of phase difference distribution. Results. It is shown that the ensemble of van der Pol generators demonstrates spatially irregular wave modes when the parameter of anharmonicity exceeds certain threshold value. This phenomenon is similar to appearance of strange waves in ensemble of anharmonic phase oscillators. Regularities of evolution of these waves with parameters change are investigated. Regions of existence and stability of the waves are built. It is shown that the strange wave modes form multistability, since stability regions of waves with different numbers of phase defects overlap. Conclusion. Transition from harmonic to relaxation oscillations can be followed by a spatial disorder, because of phase failures that might take place at arbitrary points of the discrete self-oscillating medium. This effect increases with the growth of anharmonicity. As a result, the medium is divided into a lot of clusters with almost in-phase and out-of-phase behaviors. Such clusters interact, demonstrating mutual repulsion. The observed phenomena may be interesting for understanding the processes of spatial organization and formation of structures in self-oscillating media with simple temporal dynamics. Acknowledgements. The reported study was funded by RFBR and DFG according to the research project no. 20-52-12004