Chaos in the Beeler-Reuter system for the action potential of ventricular myocardial fibres
type: Item
instance of: scholarly article
title: Chaos in the Beeler-Reuter system for the action potential of ventricular myocardial fibres
zbMATH Open document ID: 0581.92007
DOI: 10.1016/0167-2789(84)90283-5
author: J. H. Jensen
author: O. Skovgaard
author: Peter Leth Christiansen
author: A. C. Scott
published in: Physica D
publication date: 1984-01-01T00:00:00Z
review text: The response of the membrane of mammalian ventricular myocardial fibres, described by the Beeler-Reuter differential equations system [\textit{G. W. Beeler} and \textit{H. Reuter}, J. Physiol. 268, 177-210 (1977)], is investigated in the case where the system is subjected to sinusoidal stimulation. For some stimulation frequencies the system exhibits periodic behaviour, frequency locked to the driving cycle. For other values of the stimulation frequency we find chaotic responses clearly distinguished by broad band power spectra. The Lyapunov exponents are computed for this case from which the fractal dimension of the corresponding strange attractor can be estimated.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 65L07
Mathematics Subject Classification ID: 65L99
zbMATH DE Number: 3930780
zbMATH Keywords: chaos
zbMATH Keywords: action potential
zbMATH Keywords: response of the membrane of mammalian ventricular myocardial fibres
zbMATH Keywords: Beeler-Reuter differential equations system
zbMATH Keywords: sinusoidal stimulation
zbMATH Keywords: periodic behaviour
zbMATH Keywords: frequency locked
zbMATH Keywords: broad band power spectra
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: fractal dimension
zbMATH Keywords: strange attractor
describes a project that uses: IMSL Numerical Libraries
MaRDI profile type: Publication
full work available at URL: 0167-2789(84)90283-5
OpenAlex ID: W1991667240
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description: scientific article; zbMATH DE number 3930780