Open AccessPredicting the duration of chaotic transients in excitable media
Author(s) -
Marcel Aron,
Thomas Lilienkamp,
Stefan Luther,
Ulrich Parlitz
Publication year - 2021
Publication title -
journal of physics. complexity
Language(s) - English
Resource type - Journals
ISSN - 2632-072X
DOI - 10.1088/2632-072x/abf752
Subject(s) - chaotic , transient (computer programming) , duration (music) , restitution , excitation , mathematics , statistical physics , control theory (sociology) , physics , mechanics , computer science , artificial intelligence , acoustics , control (management) , quantum mechanics , political science , law , operating system
The spatiotemporal dynamics of excitable media may exhibit chaotic transients. We investigate this transient chaos in the 2D Fenton–Karma model describing the propagation of electrical excitation waves in cardiac tissue and compute the average duration of chaotic transients in dependence on model parameter values. Furthermore, other characteristics like the dominant frequency, the size of the excitable gap, pseudo ECGs, the number of phase singularities and parameters characterizing the action potential duration restitution curve are determined and it is shown that these quantities can be used to predict the average transient time using polynomial regression.