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Features of chaotic transients in excitable media governed by spiral and scroll waves

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

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

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Citation

Lilienkamp, T., Christoph, J., & Parlitz, U. (2017). Features of chaotic transients in excitable media governed by spiral and scroll waves. Physical Review Letters, 119(5): 054101. doi:10.1103/PhysRevLett.119.054101.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-C92A-5
Abstract
In excitable media, chaotic dynamics governed by spiral or scroll waves is often not persistent but transient. Using extensive simulations employing different mathematical models we identify a specific type-II supertransient by an exponential increase of transient lifetimes with the system size in 2D and an investigation of the dynamics (number and lifetime of spiral waves, Kaplan-Yorke dimension). In 3D, simulations exhibit an increase of transient lifetimes and filament lengths only above a critical thickness. Finally, potential implications for understanding cardiac arrhythmias are discussed.