Chaos in Brain Function: Containing Original Chapters by E. Başar and T. H. Bullock and Topical Articles Reprinted from the Springer Series in Brain Dynamics

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. Front Matter....Pages I-X Chaotic Dynamics and Resonance Phenomena in Brain Function: Progress, Perspectives, and Thoughts....Pages 1-30 An Agenda for Research on Chaotic Dynamics....Pages 31-41 Chaotic Dynamics in Brain Activity....Pages 42-48 The EEG is Not a Simple Noise: Strange Attractors in Intracranial Structures....Pages 49-62 Nonlinear Neural Dynamics in Olfaction as a Model for Cognition....Pages 63-73 Self-Similarity in Hyperchaotic Data....Pages 74-82 Estimation of Correlation Dimensions from Single and Multichannel Recordings — A Critical View....Pages 83-91 Correlation Dimensions in Various Parts of Cat and Human Brain in Different States....Pages 92-109 Magnetoencephalography and Attractor Dimension: Normal Subjects and Epileptic Patients....Pages 110-118 Chaotic Attractors in a Model of Neocortex: Dimensionalities of Olfactory Bulb Surface Potentials Are Spatially Uniform and Event Related....Pages 119-134 Dimensional Analysis of the Waking EEG....Pages 135-152 Analysis of Strange Attractors in EEGs with Kinesthetic Experience and 4-D Computer Graphics....Pages 153-161 Chaos in Brain Function and the Problem of Nonstationarity: A Commentary....Pages 162-176 The newly emerging field dealing with the analysis of chaotic attractors in the brain is covered in this volume. The contributions are written by pioneers in the field and span a wide spectrum of research ranging from invertebrate ganglia to human brain, to pathology and magnetoencephalography. The book specifically includes introductory remarks to this field, a survey of chaotic dynamics describing progress on evoked oscillations of the brain, both at the cellular and EEG levels, and an agenda for research on chaotic dynamics which points out necessary steps in the future Containing Original Chapters by E.Basar and T.H.Bullock and Topical Articles Reprinted from the Springer Series in Brain Dynamics