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Updated: Apr 5, 2026
Microstate and Omega Complexity Analyses of the Resting-state Electroencephalography
Published on: June 15, 2018
Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram
Mathew P Dafilis1, Federico Frascoli, Peter J Cadusch
1Department of Biomedical and Health Sciences, School of Health Sciences, Faculty of Health, Arts and Design, Swinburne University of Technology, PO BOX 218, Hawthorn, 3122, Australia.
Background:
In a previous work (Dafilis et al. in Chaos 23(2):023111, 2013), evidence was presented for four-dimensional chaos in Liley's mesoscopic model of the electroencephalogram. The study was limited to one parameter set of the model equations.
Findings:
In this report we expand that result by presenting evidence for the extension of four-dimensional chaotic behavior to a large area of the biologically admissible parameter space. A two-parameter bifurcation analysis highlights the complexity of the dynamical landscape involved in the creation of such chaos.
Conclusions:
The extensive presence of high-order chaos in a well-established physiological model of electrorhythmogenesis further emphasizes the applicability and relevance of mean field mesoscopic models in the description of brain activity at theoretical, experimental, and clinical levels.
