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The analysis of deterministic chaos is currently an active field in many branches of research. Mathematically all nonlinear dynamical systems with more than two degrees of freedom can generate chaos, becoming unpredictable over a longer time scale. The brain is a nonlinear system par excellence. Accordingly, the concepts of chaotic dynamics have found, in the last five years, an important application in research on compound electrical activity of the brain. The present volume seeks to cover most of the relevant studies in the newly emerging field of chaotic attractors in the brain. This volume is essentially a selection and reorganization of contri butions from the first two volumes in the Springer Series in Brain Dynamics, which were based on conferences held in 1985 and 1987 in Berlin. It also includes (a) a survey of progress in the recording of evoked oscillations of the brain both at the cellular and EEG levels and (b) an agenda for research on chaotic dynamics. Although the first publications pointing out evidence of chaotic behavior of the EEG did not appear until the beginning of 1985, the presence of the pioneering scientists in this field gave the participants at the first conference (volume 1) a strong impulse toward this field. For me, as conference organizer, having been for a long time active in nonlinear EEG research, the integration of this topic was self-evident; however, the enthusiasm of the conference participants was greater than expected.
Table des matières
Chaotic Dynamics and Resonance Phenomena in Brain Function: Progress, Perspectives and Thoughts.- An Agenda for Research on Chaotic Dynamics.- Chaotic Dynamics in Brain Activity.- The EEG is Not a Simple Noise: Strange Attractors in Intracranial Structures.- Nonlinear Neural Dynamics in Olfaction as a Model for Cognition.- Self-Similarity in Hyperchaotic Data.- Estimation of Correlation Dimensions from Single and Multichannel Recordings - A Critical View.- Correlation Dimensions in Various Parts of Cat and Human Brain in Different States.- Magnetoencephalography and Attractor Dimension: Normal Subjects and Epileptic Patients.- Chaotic Attractors in a Model of Neocortex: Dimensionalities of Olfactory Bulb Surface Potentials Are Spatially Uniform and Event Related.- Dimensional Analysis of the Waking EEG.- Analysis of Strange Attractors in EEGs with Kinesthetic Experience and 4-D Computer Graphics.- Chaos in Brain Function and the Problem of Nonstationarity: A Commentary.
