Robust chaos in a model of the electroencephalogram: Implications for brain dynamics

DOI10.1063/1.1394193zbMath0992.92008OpenAlexW2156184605WikidataQ48293999 ScholiaQ48293999MaRDI QIDQ2735966

Mathew P. Dafilis, David T. J. Liley, Peter J. Cadusch

Publication date: 24 October 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1959.3/1865

Mathematics Subject Classification ID

Neural biology (92C20) Biomedical imaging and signal processing (92C55) Dynamical systems in biology (37N25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Extensive four-dimensional chaos in a mesoscopic model of the electroencephalogram, A nonlinear dynamics model for simulating long range correlations of cognitive bistability, Chaos and generalised multistability in a mesoscopic model of the electroencephalogram, Researches on chaos phenomenon of EEG dynamics model, Robust chaos with variable Lyapunov exponent in smooth one-dimensional maps, Phase transitions in the neuropercolation model of neural populations with mixed local and non-local interactions, A three-parametric study of the Lorenz model, On the Global Dynamics of an Electroencephalographic Mean Field Model of the Neocortex, Robust chaos in 3-D piecewise linear maps, Metabifurcation analysis of a mean field model of the cortex, Effective suppressibility of chaos, Transient neocortical gamma oscillations induced by neuronal response modulation, Brain electrical activity analysis using wavelet-based informational tools. II: Tsallis non-extensivity and complexity measures

Uses Software

• TISEAN

Cites Work

• Measuring the strangeness of strange attractors
• Relating the various scaling exponents used to characterize fat fractals in nonlinear dynamical systems
• A model of the spatial-temporal characteristics of the alpha rhythm
• A continuum theory of electro-cortical activity
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• Practical implementation of nonlinear time series methods: The <scp>TISEAN</scp> package
• Computing Lyapunov spectra with continuous Gram - Schmidt orthonormalization
• TUTORIAL ON NEUROBIOLOGY: FROM SINGLE NEURONS TO BRAIN CHAOS