Chaos in the Beeler-Reuter system for the action potential of ventricular myocardial fibres

DOI10.1016/0167-2789(84)90283-5zbMath0581.92007OpenAlexW1991667240MaRDI QIDQ1068748

O. Skovgaard, J. H. Jensen, Alwyn C. Scott, Peter Leth Christiansen

Publication date: 1984

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90283-5

zbMATH Keywords

chaosLyapunov exponentsfractal dimensionstrange attractoraction potentialperiodic behaviourBeeler-Reuter differential equations systembroad band power spectrafrequency lockedresponse of the membrane of mammalian ventricular myocardial fibressinusoidal stimulation

Mathematics Subject Classification ID

Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical methods for ordinary differential equations (65L99) Physiological, cellular and medical topics (92Cxx)

Related Items (4)

Alternans and higher-order rhythms in an ionic model of a sheet of ischemic ventricular muscle ⋮ Nonlinear dynamics of two-dimensional cardiac action potential duration mapping model with memory ⋮ Complex dynamics underlying the human electrocardiogram ⋮ Dynamical properties of Beeler–Reuter cardiac cell model with respect to stimulation parameters

Uses Software

• IMSL Numerical Libraries

Cites Work

• Chaotic attractors of an infinite-dimensional dynamical system
• Bifurcations of tori and phase locking in a dissipative system of differential equations
• Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias
• Fractal Dimensions of Chaotic Flows of Autonomous Dissipative Systems
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