Abstract
In our earlier approaches, we used the algorithm of Grassberger and Procaccia (1983) to determine the dimensionality of brain waves. The SWS-sleep electroencephalogram (EEG) of intracranial structures of the cat brain was embedded into phase space, and the dimensions of the attractors of the cat’s cortex, hippocampus, and reticular formation were computed. The results confirmed the pioneering findings of Babloyantz et al. (1985) concerning special structures of the cat brain. They also confirmed our long-standing assumptions that the EEG represents an integrative signal stemming from deterministic processes and is a strange attractor (Basar et al., 1988; Röschke and Basar, 1988, 1989). Several authors also used this approach for the human EEG during the waking stage and especially during alpha activity (Babloyantz, 1989; Saermark et al., 1989). For a collection of papers covering this topic, see Basar (1988) and Basar and Bullock (1989). However, we did not encounter in these references any description of the correlation dimension over long periods of time and from simultaneous recordings over several locations of the human scalp EEG. Since the aim of the present study is to demonstrate that the EEG reflects properties of a quasi-deterministic brain process, we performed analysis of the correlation dimension of the human awake EEG during long periods from various locations. If the EEG is a signal stemming from quasi-deterministic neuronal processes, it should be possible to find replicable EEG states if repeatable initial conditions for a sensory-cognitive input to CNS can be realized experimentally.
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Başar, E., Başar-Eroglu, C., Röschke, J., Schult, J. (1990). Strange Attractor EEG as Sign of Cognitive Function. In: John, E.R., Harmony, T., Prichep, L.S., Valdés-Sosa, M., Valdés-Sosa, P.A. (eds) Machinery of the Mind. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1083-0_5
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