ArticleJournal of mathematical neuroscience2015
Extensive Four-Dimensional Chaos in a Mesoscopic Model of the Electroencephalogram.
Article in Journal of mathematical neuroscience, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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Who cites it
2 citing papers in PubMed.
- A comprehensive investigation of intracortical and corticothalamic models of the alpha rhythm.PLoS computational biology · 2025Article
- Transient neocortical gamma oscillations induced by neuronal response modulation.Journal of computational neuroscience · 2020Article
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
backgroundIn 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.
findingsIn 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.
conclusionsThe 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.
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