Variations of non-linear dynamic operations in of alpha-band of the EEG are reflected in the peculiarities of the P300 wave cortical field organization. In high-dimensional chaotic processes this field is characterized with high values of integral indices of its activity, the spatial synchronization of generating process as well as with the prevalence of P3a wave generation. The diversity of spatial combinations of P-wave sources reflects the high rate of their spatial complexity organization. The main contribution into this activity is made by symmetrical points of anterior and temporal cortical portions. In low-dimensional dynamics the spatial structure of the positive wave is simplified. It becomes less global and more differentiated. P3b wave generation prevails in this case. The values of integral indices of wave cortical field activity are reduced. The focal topography of positive waves and their sources changes. Chaotic systems of alpha-band wave generators demonstrate good controllability and high plasticity in contingent acoustic stimulation. They change their dynamic characteristics due to biofeedback control, determining thereby P-wave field organization.

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