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Predicting the duration of chaotic transients in excitable media

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Aron,  Marcel
Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Lilienkamp,  Thomas
Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Luther,  Stefan
Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

/persons/resource/persons173613

Parlitz,  Ulrich
Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Aron, M., Lilienkamp, T., Luther, S., & Parlitz, U. (2021). Predicting the duration of chaotic transients in excitable media. Journal of Physics: Complexity, 2: 035016. doi:10.1088/2632-072X/abf752.


Cite as: https://hdl.handle.net/21.11116/0000-0008-DB3B-0
Abstract
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.