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Robust chaos in a model of the electroencephalogram: Implications for brain dynamics
Mathew P. Dafilis1, David T. J. Liley, Peter J. Cadusch
1Centre for Intelligent Systems and Complex Processes, School of Biophysical Sciences and Electrical Engineering, Swinburne University of Technology, Hawthorn Vic 3122, Australia.
Abstract:
Various techniques designed to extract nonlinear characteristics from experimental time series have provided no clear evidence as to whether the electroencephalogram (EEG) is chaotic. Compounding the lack of firm experimental evidence is the paucity of physiologically plausible theories of EEG that are capable of supporting nonlinear and chaotic dynamics. Here we provide evidence for the existence of chaotic dynamics in a neurophysiologically plausible continuum theory of electrocortical activity and show that the set of parameter values supporting chaos within parameter space has positive measure and exhibits fat fractal scaling. (c) 2001 American Institute of Physics.